class
stringclasses 2
values | id
stringlengths 6
12
| question
stringclasses 340
values | option
stringlengths 23
217
| task_class
stringclasses 4
values | Attributes
stringclasses 7
values | images
imagewidth (px) 76
500
| problem
stringlengths 106
332
| answer
stringclasses 5
values |
|---|---|---|---|---|---|---|---|---|
synthetic
|
138_Area
|
Which of the following color options corresponds to the largest regular shape area?
|
(a) green (b) brown (c) purple (d) blue
|
value comparison
|
Area
|
<image>Which of the following color options corresponds to the largest regular shape area?
(a) green (b) brown (c) purple (d) blue
|
d
|
|
synthetic
|
54_Scale
|
Which of the following is an estimate of the time the clock in the figure is pointing to?
|
(a) (2 hours and 10 minutes, 2 hours and 20 minutes) (b) (8 hours and 10 minutes, 8 hours and 20 minutes) (c) (11 hours and 30 minutes, 11 hours and 40 minutes) (d) (5 hours and 00 minutes, 5 hours and 10 minutes)
|
range estimation
|
Scale
|
<image>Which of the following is an estimate of the time the clock in the figure is pointing to?
(a) (2 hours and 10 minutes, 2 hours and 20 minutes) (b) (8 hours and 10 minutes, 8 hours and 20 minutes) (c) (11 hours and 30 minutes, 11 hours and 40 minutes) (d) (5 hours and 00 minutes, 5 hours and 10 minutes)
|
b
|
|
synthetic
|
88_Scale
|
Which of the following options is the most likely estimate of the red dot's coordinates?
|
(a) (7.5, -5.8) (b) (-8.7, -4.4) (c) (-1.6, 3.4) (d) (4.6, -1.3)
|
value estimation
|
Scale
|
<image>Which of the following options is the most likely estimate of the red dot's coordinates?
(a) (7.5, -5.8) (b) (-8.7, -4.4) (c) (-1.6, 3.4) (d) (4.6, -1.3)
|
a
|
|
synthetic
|
60_Quantity
|
The number of purple objects is X times greater than the number of purple objects. Which of the following is a reasonable estimate for X?
|
(a) 2.1 (b) 4.6 (c) 1.0 (d) 5.8
|
multiplicative estimation
|
Quantity
|
<image>The number of purple objects is X times greater than the number of purple objects. Which of the following is a reasonable estimate for X?
(a) 2.1 (b) 4.6 (c) 1.0 (d) 5.8
|
c
|
|
synthetic
|
89_Depth
|
Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which of the following options is most likely to be the order in which these points are located from closest to farthest from the viewer?
|
(a) ABCD (b) DBAC (c) BCDA (d) DBCA
|
value comparison
|
Depth
|
<image>Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which of the following options is most likely to be the order in which these points are located from closest to farthest from the viewer?
(a) ABCD (b) DBAC (c) BCDA (d) DBCA
|
d
|
|
synthetic
|
86_Area
|
BAE is X times larger in area than CFD. Which of the following options is a reasonable estimate for X?
|
(a) 4 (b) 0.5 (c) 1 (d) 2 (e) 0.25
|
multiplicative estimation
|
Area
|
<image>BAE is X times larger in area than CFD. Which of the following options is a reasonable estimate for X?
(a) 4 (b) 0.5 (c) 1 (d) 2 (e) 0.25
|
c
|
|
synthetic
|
139_Quantity
|
Which of the following options is a reasonable estimate of the number of cubes in the figure?
|
(a) 25 (b) 44 (c) 6 (d) 12
|
value estimation
|
Quantity
|
<image>Which of the following options is a reasonable estimate of the number of cubes in the figure?
(a) 25 (b) 44 (c) 6 (d) 12
|
d
|
|
synthetic
|
119_Quantity
|
Which of the following colors of objects in the figure is most likely to have the highest quantity?
|
(a) red (b) blue (c) green (d) purple
|
value comparison
|
Quantity
|
<image>Which of the following colors of objects in the figure is most likely to have the highest quantity?
(a) red (b) blue (c) green (d) purple
|
d
|
|
synthetic
|
101_Depth
|
Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which point appears closer to the viewer?
|
(a) A is closer (b) B is closer (c) C is closer (d) D is closer
|
value comparison
|
Depth
|
<image>Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which point appears closer to the viewer?
(a) A is closer (b) B is closer (c) C is closer (d) D is closer
|
b
|
|
synthetic
|
3_Length
|
Which of the following options has data corresponding to twice the value of B?
|
(a) value A (b) value B (c) value C (d) value D
|
multiplicative estimation
|
Length
|
<image>Which of the following options has data corresponding to twice the value of B?
(a) value A (b) value B (c) value C (d) value D
|
a
|
|
synthetic
|
75_Angle
|
Angle A is X times larger than Angel B. Which of the following options is a reasonable estimate for X?
|
(a) 1.9 (b) 3.9 (c) 1.1 (d) 3.2
|
multiplicative estimation
|
Angle
|
<image>Angle A is X times larger than Angel B. Which of the following options is a reasonable estimate for X?
(a) 1.9 (b) 3.9 (c) 1.1 (d) 3.2
|
d
|
|
synthetic
|
91_Length
|
Given the length of line segment A is 15.0, which of the following options is most likely the length of line segment B?
|
(a) (1, 2) (b) (10, 11) (c) (7, 8) (d) (14, 15)
|
range estimation
|
Length
|
<image>Given the length of line segment A is 15.0, which of the following options is most likely the length of line segment B?
(a) (1, 2) (b) (10, 11) (c) (7, 8) (d) (14, 15)
|
d
|
|
synthetic
|
32_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) 68 (b) 90 (c) 38 (d) 15
|
value estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) 68 (b) 90 (c) 38 (d) 15
|
b
|
|
synthetic
|
80_Depth
|
Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which point appears closer to the viewer?
|
(a) A is closer (b) B is closer (c) C is closer (d) D is closer
|
value comparison
|
Depth
|
<image>Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which point appears closer to the viewer?
(a) A is closer (b) B is closer (c) C is closer (d) D is closer
|
a
|
|
synthetic
|
48_Area
|
BED is X times larger in area than DFC. Which of the following options is a reasonable estimate for X?
|
(a) 2 (b) 1 (c) 0.5 (d) 0.25 (e) 4
|
multiplicative estimation
|
Area
|
<image>BED is X times larger in area than DFC. Which of the following options is a reasonable estimate for X?
(a) 2 (b) 1 (c) 0.5 (d) 0.25 (e) 4
|
b
|
|
synthetic
|
174_Length
|
Which of the following colors in the bar chart has the largest height?
|
(a) blue (b) brown (c) orange (d) pink
|
value comparison
|
Length
|
<image>Which of the following colors in the bar chart has the largest height?
(a) blue (b) brown (c) orange (d) pink
|
b
|
|
synthetic
|
97_Area
|
In the ABCD sections of the pie chart below, which section has the largest area?
|
(a) area A (b) area B (c) area C (d) area D
|
value comparison
|
Area
|
<image>In the ABCD sections of the pie chart below, which section has the largest area?
(a) area A (b) area B (c) area C (d) area D
|
b
|
|
synthetic
|
57_Length
|
Move the ruler to measure the length of the object to the nearest centimeter. The object is about (_) centimeters long
|
(a) 2 (b) 8 (c) 5 (d) 6
|
value estimation
|
Length
|
<image>Move the ruler to measure the length of the object to the nearest centimeter. The object is about (_) centimeters long
(a) 2 (b) 8 (c) 5 (d) 6
|
a
|
|
synthetic
|
35_Quantity
|
Which of the following colors of objects in the figure is most likely to have the highest quantity?
|
(a) blue (b) green (c) purple (d) red
|
value comparison
|
Quantity
|
<image>Which of the following colors of objects in the figure is most likely to have the highest quantity?
(a) blue (b) green (c) purple (d) red
|
a
|
|
synthetic
|
148_Angle
|
Which of the following options is a reasonable estimate of the angle CED in the figure?
|
(a) 180 degrees (b) 45 degrees (c) 135 degrees (d) 10 degrees (e) 90 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle CED in the figure?
(a) 180 degrees (b) 45 degrees (c) 135 degrees (d) 10 degrees (e) 90 degrees
|
a
|
|
synthetic
|
132_Quantity
|
Which of the following options is a reasonable estimate of the number of cubes in the figure?
|
(a) 32 (b) 42 (c) 11 (d) 25
|
value estimation
|
Quantity
|
<image>Which of the following options is a reasonable estimate of the number of cubes in the figure?
(a) 32 (b) 42 (c) 11 (d) 25
|
d
|
|
synthetic
|
31_Depth
|
The depth from point B to the viewer is X times than point A, Which of the following options is a reasonable estimate?
|
(a) 3.2 (b) 1.6 (c) 4.8 (d) 6.6
|
multiplicative estimation
|
Depth
|
<image>The depth from point B to the viewer is X times than point A, Which of the following options is a reasonable estimate?
(a) 3.2 (b) 1.6 (c) 4.8 (d) 6.6
|
b
|
|
synthetic
|
115_Depth
|
Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which of the following options is most likely to be the order in which these points are located from closest to farthest from the viewer?
|
(a) CDAB (b) CDBA (c) DCAB (d) ADCB
|
value comparison
|
Depth
|
<image>Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which of the following options is most likely to be the order in which these points are located from closest to farthest from the viewer?
(a) CDAB (b) CDBA (c) DCAB (d) ADCB
|
d
|
|
synthetic
|
24_Area
|
ABP is X times larger in area than ABC. Which of the following options is a reasonable estimate for X?
|
(a) 1 (b) 4 (c) 0.5 (d) 2 (e) 0.25
|
multiplicative estimation
|
Area
|
<image>ABP is X times larger in area than ABC. Which of the following options is a reasonable estimate for X?
(a) 1 (b) 4 (c) 0.5 (d) 2 (e) 0.25
|
b
|
|
synthetic
|
85_Area
|
Which of the following options is a reasonable estimate of the area percentage of the orange portion of the pie chart?
|
(a) (20%, 30%) (b) (80%, 90%) (c) (50%, 60%) (d) (10%, 20%)
|
range estimation
|
Area
|
<image>Which of the following options is a reasonable estimate of the area percentage of the orange portion of the pie chart?
(a) (20%, 30%) (b) (80%, 90%) (c) (50%, 60%) (d) (10%, 20%)
|
a
|
|
synthetic
|
36_Area
|
BDC is X times larger in area than ABC. Which of the following options is a reasonable estimate for X?
|
(a) 0.25 (b) 2 (c) 0.5 (d) 1 (e) 4
|
multiplicative estimation
|
Area
|
<image>BDC is X times larger in area than ABC. Which of the following options is a reasonable estimate for X?
(a) 0.25 (b) 2 (c) 0.5 (d) 1 (e) 4
|
a
|
|
synthetic
|
107_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) (0, 10) (b) (30, 40) (c) (20, 30) (d) (50, 60)
|
range estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) (0, 10) (b) (30, 40) (c) (20, 30) (d) (50, 60)
|
b
|
|
synthetic
|
39_Quantity
|
Which of the following options is a reasonable estimate of the number of objects of all colors in the figure?
|
(a) 4 (b) 43 (c) 28 (d) 12
|
value estimation
|
Quantity
|
<image>Which of the following options is a reasonable estimate of the number of objects of all colors in the figure?
(a) 4 (b) 43 (c) 28 (d) 12
|
b
|
|
synthetic
|
10_Scale
|
Which of the following ranges is most likely to be the value of the class C in the figure?
|
(a) (0.10, 0.20) (b) (0.40, 0.50) (c) (0.20, 0.30) (d) (0.50, 0.60)
|
range estimation
|
Scale
|
<image>Which of the following ranges is most likely to be the value of the class C in the figure?
(a) (0.10, 0.20) (b) (0.40, 0.50) (c) (0.20, 0.30) (d) (0.50, 0.60)
|
b
|
|
synthetic
|
93_Angle
|
Which of the following options best estimates the angle between two lines in the figure?
|
(a) (160, 170) degrees (b) (50, 60) degrees (c) (130, 140) degrees (d) (30, 40) degrees
|
range estimation
|
Angle
|
<image>Which of the following options best estimates the angle between two lines in the figure?
(a) (160, 170) degrees (b) (50, 60) degrees (c) (130, 140) degrees (d) (30, 40) degrees
|
d
|
|
synthetic
|
50_Quantity
|
Which of the following colors of objects in the figure is most likely to have the highest quantity?
|
(a) blue (b) purple (c) red (d) green
|
value comparison
|
Quantity
|
<image>Which of the following colors of objects in the figure is most likely to have the highest quantity?
(a) blue (b) purple (c) red (d) green
|
c
|
|
synthetic
|
32_Length
|
Given the length of line segment A is 5, which of the following options is most likely the length of line segment B?
|
(a) 1 (b) 3 (c) 7 (d) 5
|
value estimation
|
Length
|
<image>Given the length of line segment A is 5, which of the following options is most likely the length of line segment B?
(a) 1 (b) 3 (c) 7 (d) 5
|
c
|
|
synthetic
|
138_Angle
|
Which of the following options best estimates the angle between two lines in the figure?
|
(a) (90, 100) degrees (b) (50, 60) degrees (c) (70, 80) degrees (d) (160, 170) degrees
|
range estimation
|
Angle
|
<image>Which of the following options best estimates the angle between two lines in the figure?
(a) (90, 100) degrees (b) (50, 60) degrees (c) (70, 80) degrees (d) (160, 170) degrees
|
b
|
|
synthetic
|
55_Angle
|
Which angle is the smallest among angles A, B, C, and D in the figure?
|
(a) angle A (b) angle B (c) angle C (d) angle D
|
value comparison
|
Angle
|
<image>Which angle is the smallest among angles A, B, C, and D in the figure?
(a) angle A (b) angle B (c) angle C (d) angle D
|
b
|
|
synthetic
|
15_Length
|
Given the length of line segment A is 11.4, which of the following options is most likely the length of line segment B?
|
(a) (12, 13) (b) (9, 10) (c) (3, 4) (d) (14, 15)
|
range estimation
|
Length
|
<image>Given the length of line segment A is 11.4, which of the following options is most likely the length of line segment B?
(a) (12, 13) (b) (9, 10) (c) (3, 4) (d) (14, 15)
|
a
|
|
synthetic
|
60_Angle
|
Which of the following options is a reasonable estimate of the angle between two lines in the figure?
|
(a) 144 degrees (b) 47 degrees (c) 10 degrees (d) 63 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle between two lines in the figure?
(a) 144 degrees (b) 47 degrees (c) 10 degrees (d) 63 degrees
|
b
|
|
synthetic
|
92_Angle
|
Which of the following options is a reasonable estimate of the obtuse angle between two lines in the figure?
|
(a) 121 degrees (b) 165 degrees (c) 142 degrees (d) 102 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the obtuse angle between two lines in the figure?
(a) 121 degrees (b) 165 degrees (c) 142 degrees (d) 102 degrees
|
d
|
|
synthetic
|
40_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) 88 (b) 57 (c) 26 (d) 10
|
value estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) 88 (b) 57 (c) 26 (d) 10
|
d
|
|
synthetic
|
84_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) 187 (b) 116 (c) 78 (d) 40
|
value estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) 187 (b) 116 (c) 78 (d) 40
|
d
|
|
synthetic
|
65_Depth
|
The depth from point B to the viewer is X times than point A, Which of the following options is a reasonable estimate?
|
(a) 2.7 (b) 5.4 (c) 4.3 (d) 6.8
|
multiplicative estimation
|
Depth
|
<image>The depth from point B to the viewer is X times than point A, Which of the following options is a reasonable estimate?
(a) 2.7 (b) 5.4 (c) 4.3 (d) 6.8
|
c
|
|
synthetic
|
4_Quantity
|
Which of the following options is a reasonable estimate of the number of objects of all colors in the figure?
|
(a) 4 (b) 39 (c) 31 (d) 52
|
value estimation
|
Quantity
|
<image>Which of the following options is a reasonable estimate of the number of objects of all colors in the figure?
(a) 4 (b) 39 (c) 31 (d) 52
|
d
|
|
synthetic
|
120_Depth
|
The depth from point A to the viewer is X times than point B, Which of the following options is a reasonable estimate?
|
(a) 2.9 (b) 1.1 (c) 4.6 (d) 6.8
|
multiplicative estimation
|
Depth
|
<image>The depth from point A to the viewer is X times than point B, Which of the following options is a reasonable estimate?
(a) 2.9 (b) 1.1 (c) 4.6 (d) 6.8
|
b
|
|
synthetic
|
174_Quantity
|
Which of the following options is a reasonable range of estimates for the number of cubes in the figure?
|
(a) [1, 10) (b) [10, 20) (c) [20, 30) (d) More than 30
|
range estimation
|
Quantity
|
<image>Which of the following options is a reasonable range of estimates for the number of cubes in the figure?
(a) [1, 10) (b) [10, 20) (c) [20, 30) (d) More than 30
|
b
|
|
synthetic
|
49_Scale
|
Which of the following ranges is most likely to be the value of the class C in the figure?
|
(a) (0.30, 0.40) (b) (0.60, 0.70) (c) (0.80, 0.90) (d) (0.50, 0.60)
|
range estimation
|
Scale
|
<image>Which of the following ranges is most likely to be the value of the class C in the figure?
(a) (0.30, 0.40) (b) (0.60, 0.70) (c) (0.80, 0.90) (d) (0.50, 0.60)
|
b
|
|
synthetic
|
129_Depth
|
The depth from point B to the viewer is X times than point A, Which of the following options is a reasonable estimate?
|
(a) 3.3 (b) 4.4 (c) 1.5 (d) 5.5
|
multiplicative estimation
|
Depth
|
<image>The depth from point B to the viewer is X times than point A, Which of the following options is a reasonable estimate?
(a) 3.3 (b) 4.4 (c) 1.5 (d) 5.5
|
c
|
|
synthetic
|
128_Area
|
Which of the following color options corresponds to the largest area?
|
(a) pink (b) orange (c) purple (d) brown
|
value comparison
|
Area
|
<image>Which of the following color options corresponds to the largest area?
(a) pink (b) orange (c) purple (d) brown
|
c
|
|
synthetic
|
91_Angle
|
Which angle is the largest among angles A, B, C, and D in the figure?
|
(a) angle A (b) angle B (c) angle C (d) angle D
|
value comparison
|
Angle
|
<image>Which angle is the largest among angles A, B, C, and D in the figure?
(a) angle A (b) angle B (c) angle C (d) angle D
|
d
|
|
synthetic
|
127_Area
|
BAH is X times larger in area than BHD. Which of the following options is a reasonable estimate for X?
|
(a) 4 (b) 2 (c) 0.25 (d) 1 (e) 0.5
|
multiplicative estimation
|
Area
|
<image>BAH is X times larger in area than BHD. Which of the following options is a reasonable estimate for X?
(a) 4 (b) 2 (c) 0.25 (d) 1 (e) 0.5
|
e
|
|
synthetic
|
122_Scale
|
Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
|
(a) 9 hours and 05 minutes (b) 12 hours and 18 minutes (c) 2 hours and 05 minutes (d) 5 hours and 30 minutes
|
value estimation
|
Scale
|
<image>Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
(a) 9 hours and 05 minutes (b) 12 hours and 18 minutes (c) 2 hours and 05 minutes (d) 5 hours and 30 minutes
|
a
|
|
synthetic
|
165_Area
|
ADC is X times larger in area than ACB. Which of the following options is a reasonable estimate for X?
|
(a) 4 (b) 0.25 (c) 2 (d) 1 (e) 0.5
|
multiplicative estimation
|
Area
|
<image>ADC is X times larger in area than ACB. Which of the following options is a reasonable estimate for X?
(a) 4 (b) 0.25 (c) 2 (d) 1 (e) 0.5
|
e
|
|
synthetic
|
27_Scale
|
Which of the following is an estimate of the time the clock in the figure is pointing to?
|
(a) (8 hours and 00 minutes, 8 hours and 10 minutes) (b) (1 hours and 20 minutes, 1 hours and 30 minutes) (c) (2 hours and 40 minutes, 2 hours and 50 minutes) (d) (4 hours and 50 minutes, 4 hours and 59 minutes)
|
range estimation
|
Scale
|
<image>Which of the following is an estimate of the time the clock in the figure is pointing to?
(a) (8 hours and 00 minutes, 8 hours and 10 minutes) (b) (1 hours and 20 minutes, 1 hours and 30 minutes) (c) (2 hours and 40 minutes, 2 hours and 50 minutes) (d) (4 hours and 50 minutes, 4 hours and 59 minutes)
|
a
|
|
synthetic
|
80_Scale
|
Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
|
(a) (11 hours and 50 minutes, 11 hours and 59 minutes) (b) (5 hours and 00 minutes, 5 hours and 10 minutes) (c) (6 hours and 10 minutes, 6 hours and 20 minutes) (d) (7 hours and 40 minutes, 7 hours and 50 minutes)
|
range estimation
|
Scale
|
<image>Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
(a) (11 hours and 50 minutes, 11 hours and 59 minutes) (b) (5 hours and 00 minutes, 5 hours and 10 minutes) (c) (6 hours and 10 minutes, 6 hours and 20 minutes) (d) (7 hours and 40 minutes, 7 hours and 50 minutes)
|
a
|
|
synthetic
|
163_Area
|
ABD is X times larger in area than BOC. Which of the following options is a reasonable estimate for X?
|
(a) 0.5 (b) 1 (c) 0.25 (d) 4 (e) 2
|
multiplicative estimation
|
Area
|
<image>ABD is X times larger in area than BOC. Which of the following options is a reasonable estimate for X?
(a) 0.5 (b) 1 (c) 0.25 (d) 4 (e) 2
|
e
|
|
synthetic
|
132_Scale
|
Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
|
(a) 2 hours and 48 minutes (b) 10 hours and 10 minutes (c) 3 hours and 36 minutes (d) 4 hours and 06 minutes
|
value estimation
|
Scale
|
<image>Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
(a) 2 hours and 48 minutes (b) 10 hours and 10 minutes (c) 3 hours and 36 minutes (d) 4 hours and 06 minutes
|
b
|
|
synthetic
|
177_Area
|
ABE is X times larger in area than ADE. Which of the following options is a reasonable estimate for X?
|
(a) 2 (b) 0.5 (c) 0.25 (d) 4 (e) 1
|
multiplicative estimation
|
Area
|
<image>ABE is X times larger in area than ADE. Which of the following options is a reasonable estimate for X?
(a) 2 (b) 0.5 (c) 0.25 (d) 4 (e) 1
|
d
|
|
synthetic
|
9_Area
|
Which of the following color options corresponds to the largest regular shape area?
|
(a) purple (b) red (c) brown (d) green
|
value comparison
|
Area
|
<image>Which of the following color options corresponds to the largest regular shape area?
(a) purple (b) red (c) brown (d) green
|
c
|
|
synthetic
|
48_Length
|
Which two points have the greatest distance between them?
|
(a) P1 and P3 (b) P2 and P3 (c) P1 and P2
|
value comparison
|
Length
|
<image>Which two points have the greatest distance between them?
(a) P1 and P3 (b) P2 and P3 (c) P1 and P2
|
a
|
|
synthetic
|
122_Quantity
|
The number of green objects is X times greater than the number of red objects. Which of the following is a reasonable estimate for X?
|
(a) 3.8 (b) 3.0 (c) 4.8 (d) 1.0
|
multiplicative estimation
|
Quantity
|
<image>The number of green objects is X times greater than the number of red objects. Which of the following is a reasonable estimate for X?
(a) 3.8 (b) 3.0 (c) 4.8 (d) 1.0
|
d
|
|
synthetic
|
8_Angle
|
Which of the following options best estimates the angle between two lines in the figure?
|
(a) (170, 180) degrees (b) (20, 30) degrees (c) (40, 50) degrees (d) (110, 120) degrees
|
range estimation
|
Angle
|
<image>Which of the following options best estimates the angle between two lines in the figure?
(a) (170, 180) degrees (b) (20, 30) degrees (c) (40, 50) degrees (d) (110, 120) degrees
|
c
|
|
synthetic
|
173_Length
|
Given the length of line segment A is 2.4, which of the following options is most likely the length of line segment B?
|
(a) (4, 5) (b) (10, 11) (c) (13, 14) (d) (7, 8)
|
range estimation
|
Length
|
<image>Given the length of line segment A is 2.4, which of the following options is most likely the length of line segment B?
(a) (4, 5) (b) (10, 11) (c) (13, 14) (d) (7, 8)
|
a
|
|
synthetic
|
36_Length
|
Which of the following colors in the bar chart has the largest height?
|
(a) pink (b) red (c) black (d) brown
|
value comparison
|
Length
|
<image>Which of the following colors in the bar chart has the largest height?
(a) pink (b) red (c) black (d) brown
|
d
|
|
synthetic
|
18_Area
|
ACD is X times larger in area than ABCD. Which of the following options is a reasonable estimate for X?
|
(a) 0.25 (b) 0.5 (c) 2 (d) 1 (e) 4
|
multiplicative estimation
|
Area
|
<image>ACD is X times larger in area than ABCD. Which of the following options is a reasonable estimate for X?
(a) 0.25 (b) 0.5 (c) 2 (d) 1 (e) 4
|
b
|
|
synthetic
|
112_Scale
|
Which of the following ranges is most likely to be the value of the class D in the figure?
|
(a) (0.60, 0.70) (b) (0.80, 0.90) (c) (0.20, 0.30) (d) (0.10, 0.20)
|
range estimation
|
Scale
|
<image>Which of the following ranges is most likely to be the value of the class D in the figure?
(a) (0.60, 0.70) (b) (0.80, 0.90) (c) (0.20, 0.30) (d) (0.10, 0.20)
|
a
|
|
synthetic
|
63_Quantity
|
Which of the following options is a reasonable estimate of the number of objects of all colors in the figure?
|
(a) 45 (b) 17 (c) 2 (d) 26
|
value estimation
|
Quantity
|
<image>Which of the following options is a reasonable estimate of the number of objects of all colors in the figure?
(a) 45 (b) 17 (c) 2 (d) 26
|
a
|
|
synthetic
|
164_Length
|
Which point have the greatest distance to the point E?
|
(a) point A (b) point B (c) point C (d) point D
|
value comparison
|
Length
|
<image>Which point have the greatest distance to the point E?
(a) point A (b) point B (c) point C (d) point D
|
b
|
|
synthetic
|
70_Scale
|
Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
|
(a) 1 hours and 34 minutes (b) 7 hours and 00 minutes (c) 4 hours and 19 minutes (d) 5 hours and 20 minutes
|
value estimation
|
Scale
|
<image>Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
(a) 1 hours and 34 minutes (b) 7 hours and 00 minutes (c) 4 hours and 19 minutes (d) 5 hours and 20 minutes
|
b
|
|
synthetic
|
155_Length
|
Which line is the longest among lines A, B, C, and D in the figure?
|
(a) Line A (b) Line B (c) Line C (d) Line D
|
value comparison
|
Length
|
<image>Which line is the longest among lines A, B, C, and D in the figure?
(a) Line A (b) Line B (c) Line C (d) Line D
|
b
|
|
synthetic
|
31_Area
|
Which of the following options is a reasonable estimate of the area percentage of the red portion of the pie chart?
|
(a) 76% (b) 29% (c) 55% (d) 12%
|
value estimation
|
Area
|
<image>Which of the following options is a reasonable estimate of the area percentage of the red portion of the pie chart?
(a) 76% (b) 29% (c) 55% (d) 12%
|
b
|
|
synthetic
|
136_Length
|
The height of purple is 7. Which of the following options is a reasonable estimate of the height of red?
|
(a) 9 (b) 19 (c) 14 (d) 20
|
value estimation
|
Length
|
<image>The height of purple is 7. Which of the following options is a reasonable estimate of the height of red?
(a) 9 (b) 19 (c) 14 (d) 20
|
c
|
|
synthetic
|
96_Depth
|
Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which of the following options is most likely to be the order in which these points are located from closest to farthest from the viewer?
|
(a) BDCA (b) CDAB (c) ABDC (d) BCDA
|
value comparison
|
Depth
|
<image>Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which of the following options is most likely to be the order in which these points are located from closest to farthest from the viewer?
(a) BDCA (b) CDAB (c) ABDC (d) BCDA
|
a
|
|
synthetic
|
159_Area
|
In the ABCD sections of the pie chart below, which section has the largest area?
|
(a) area A (b) area B (c) area C (d) area D
|
value comparison
|
Area
|
<image>In the ABCD sections of the pie chart below, which section has the largest area?
(a) area A (b) area B (c) area C (d) area D
|
b
|
|
synthetic
|
39_Angle
|
Angle A is X times larger than Angel B. Which of the following options is a reasonable estimate for X?
|
(a) 3.0 (b) 2.2 (c) 3.8 (d) 1.7
|
multiplicative estimation
|
Angle
|
<image>Angle A is X times larger than Angel B. Which of the following options is a reasonable estimate for X?
(a) 3.0 (b) 2.2 (c) 3.8 (d) 1.7
|
d
|
|
synthetic
|
181_Area
|
ADE is X times larger in area than ABC. Which of the following options is a reasonable estimate for X?
|
(a) 0.25 (b) 2 (c) 1 (d) 4 (e) 0.5
|
multiplicative estimation
|
Area
|
<image>ADE is X times larger in area than ABC. Which of the following options is a reasonable estimate for X?
(a) 0.25 (b) 2 (c) 1 (d) 4 (e) 0.5
|
e
|
|
synthetic
|
17_Quantity
|
Which of the following options is a reasonable estimate of the number of objects of all colors in the figure?
|
(a) 5 (b) 41 (c) 13 (d) 54
|
value estimation
|
Quantity
|
<image>Which of the following options is a reasonable estimate of the number of objects of all colors in the figure?
(a) 5 (b) 41 (c) 13 (d) 54
|
b
|
|
synthetic
|
146_Angle
|
Which of the following options is a reasonable estimate of the sharp angle between two lines in the figure?
|
(a) 5 degrees (b) 29 degrees (c) 79 degrees (d) 61 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the sharp angle between two lines in the figure?
(a) 5 degrees (b) 29 degrees (c) 79 degrees (d) 61 degrees
|
d
|
|
synthetic
|
46_Scale
|
Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
|
(a) 2 hours and 16 minutes (b) 11 hours and 44 minutes (c) 8 hours and 00 minutes (d) 4 hours and 33 minutes
|
value estimation
|
Scale
|
<image>Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
(a) 2 hours and 16 minutes (b) 11 hours and 44 minutes (c) 8 hours and 00 minutes (d) 4 hours and 33 minutes
|
c
|
|
synthetic
|
146_Area
|
Which of the following options is a reasonable estimate of the area percentage of the purple portion of the pie chart?
|
(a) (80%, 90%) (b) (30%, 40%) (c) (70%, 80%) (d) (10%, 20%)
|
range estimation
|
Area
|
<image>Which of the following options is a reasonable estimate of the area percentage of the purple portion of the pie chart?
(a) (80%, 90%) (b) (30%, 40%) (c) (70%, 80%) (d) (10%, 20%)
|
d
|
|
synthetic
|
26_Depth
|
Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which of the following options is most likely to be the order in which these points are located from closest to farthest from the viewer?
|
(a) CDAB (b) BDAC (c) ABDC (d) DBAC
|
value comparison
|
Depth
|
<image>Four points are circled on the figure, labeled by A, B, C and D beside each circle. Which of the following options is most likely to be the order in which these points are located from closest to farthest from the viewer?
(a) CDAB (b) BDAC (c) ABDC (d) DBAC
|
c
|
|
synthetic
|
90_Area
|
Which of the following options is a reasonable estimate of the area percentage of the green portion of the bar chart?
|
(a) (40%, 50%) (b) (20%, 30%) (c) (60%, 70%) (d) (80%, 90%)
|
range estimation
|
Area
|
<image>Which of the following options is a reasonable estimate of the area percentage of the green portion of the bar chart?
(a) (40%, 50%) (b) (20%, 30%) (c) (60%, 70%) (d) (80%, 90%)
|
b
|
|
synthetic
|
1_Scale
|
Which of the following ranges is most likely to be the value of the class A in the figure?
|
(a) (0.20, 0.30) (b) (0.60, 0.70) (c) (0.40, 0.50) (d) (0.10, 0.20)
|
range estimation
|
Scale
|
<image>Which of the following ranges is most likely to be the value of the class A in the figure?
(a) (0.20, 0.30) (b) (0.60, 0.70) (c) (0.40, 0.50) (d) (0.10, 0.20)
|
b
|
|
synthetic
|
123_Depth
|
The depth from point A to the viewer is X times than point B, Which of the following options is a reasonable estimate?
|
(a) 3.6 (b) 1.3 (c) 5.6 (d) 7.0
|
multiplicative estimation
|
Depth
|
<image>The depth from point A to the viewer is X times than point B, Which of the following options is a reasonable estimate?
(a) 3.6 (b) 1.3 (c) 5.6 (d) 7.0
|
b
|
|
synthetic
|
30_Quantity
|
The number of red objects is X times greater than the number of green objects. Which of the following is a reasonable estimate for X?
|
(a) 2.4 (b) 1.7 (c) 4.2 (d) 5.1
|
multiplicative estimation
|
Quantity
|
<image>The number of red objects is X times greater than the number of green objects. Which of the following is a reasonable estimate for X?
(a) 2.4 (b) 1.7 (c) 4.2 (d) 5.1
|
b
|
|
synthetic
|
113_Scale
|
Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
|
(a) 12 hours and 30 minutes (b) 11 hours and 56 minutes (c) 1 hours and 08 minutes (d) 5 hours and 46 minutes
|
value estimation
|
Scale
|
<image>Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
(a) 12 hours and 30 minutes (b) 11 hours and 56 minutes (c) 1 hours and 08 minutes (d) 5 hours and 46 minutes
|
b
|
|
synthetic
|
22_Area
|
Which of the following options is a reasonable estimate of the area percentage of the yellow portion of the pie chart?
|
(a) (80%, 90%) (b) (60%, 70%) (c) (40%, 50%) (d) (20%, 30%)
|
range estimation
|
Area
|
<image>Which of the following options is a reasonable estimate of the area percentage of the yellow portion of the pie chart?
(a) (80%, 90%) (b) (60%, 70%) (c) (40%, 50%) (d) (20%, 30%)
|
d
|
|
synthetic
|
80_Angle
|
Angle B is X times larger than Angel A. Which of the following options is a reasonable estimate for X?
|
(a) 1.8 (b) 3.7 (c) 2.8 (d) 1.2
|
multiplicative estimation
|
Angle
|
<image>Angle B is X times larger than Angel A. Which of the following options is a reasonable estimate for X?
(a) 1.8 (b) 3.7 (c) 2.8 (d) 1.2
|
c
|
|
synthetic
|
123_Angle
|
Which of the following options is a reasonable estimate of the angle between the directions of the bike and the gray motorcycle in the figure?
|
(a) (90, 100) degrees (b) (150, 160) degrees (c) (170, 180) degrees (d) (50, 60) degrees
|
range estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle between the directions of the bike and the gray motorcycle in the figure?
(a) (90, 100) degrees (b) (150, 160) degrees (c) (170, 180) degrees (d) (50, 60) degrees
|
a
|
|
synthetic
|
32_Depth
|
The depth from point B to the viewer is X times than point A, Which of the following options is a reasonable estimate?
|
(a) 1.1 (b) 5.1 (c) 2.7 (d) 6.6
|
multiplicative estimation
|
Depth
|
<image>The depth from point B to the viewer is X times than point A, Which of the following options is a reasonable estimate?
(a) 1.1 (b) 5.1 (c) 2.7 (d) 6.6
|
c
|
|
synthetic
|
66_Area
|
ABOD is X times larger in area than DOBC. Which of the following options is a reasonable estimate for X?
|
(a) 1 (b) 4 (c) 0.5 (d) 2 (e) 0.25
|
multiplicative estimation
|
Area
|
<image>ABOD is X times larger in area than DOBC. Which of the following options is a reasonable estimate for X?
(a) 1 (b) 4 (c) 0.5 (d) 2 (e) 0.25
|
a
|
|
synthetic
|
20_Depth
|
The depth from point A to the viewer is X times than point B, Which of the following options is a reasonable estimate?
|
(a) 1.1 (b) 2.8 (c) 4.8 (d) 5.9
|
multiplicative estimation
|
Depth
|
<image>The depth from point A to the viewer is X times than point B, Which of the following options is a reasonable estimate?
(a) 1.1 (b) 2.8 (c) 4.8 (d) 5.9
|
a
|
|
synthetic
|
139_Length
|
Which of the following colors in the bar chart has the largest height?
|
(a) blue (b) red (c) pink (d) brown
|
value comparison
|
Length
|
<image>Which of the following colors in the bar chart has the largest height?
(a) blue (b) red (c) pink (d) brown
|
d
|
|
synthetic
|
49_Area
|
Which of the following options is a reasonable estimate of the area percentage of the green portion of the pie chart?
|
(a) (40%, 50%) (b) (60%, 70%) (c) (10%, 20%) (d) (80%, 90%)
|
range estimation
|
Area
|
<image>Which of the following options is a reasonable estimate of the area percentage of the green portion of the pie chart?
(a) (40%, 50%) (b) (60%, 70%) (c) (10%, 20%) (d) (80%, 90%)
|
c
|
|
synthetic
|
43_Length
|
Move the ruler to measure the length of the object to the nearest centimeter. The object is about (_) centimeters long
|
(a) (7, 9) (b) (5, 7) (c) (6, 8) (d) (2, 4)
|
range estimation
|
Length
|
<image>Move the ruler to measure the length of the object to the nearest centimeter. The object is about (_) centimeters long
(a) (7, 9) (b) (5, 7) (c) (6, 8) (d) (2, 4)
|
d
|
|
synthetic
|
88_Depth
|
The depth from point B to the viewer is X times than point A, Which of the following options is a reasonable estimate?
|
(a) 1.2 (b) 4.3 (c) 5.9 (d) 3.0
|
multiplicative estimation
|
Depth
|
<image>The depth from point B to the viewer is X times than point A, Which of the following options is a reasonable estimate?
(a) 1.2 (b) 4.3 (c) 5.9 (d) 3.0
|
d
|
|
synthetic
|
26_Length
|
Which of the following options is the midpoint of the line segment?
|
(a) point A (b) point B (c) point C (d) point D
|
multiplicative estimation
|
Length
|
<image>Which of the following options is the midpoint of the line segment?
(a) point A (b) point B (c) point C (d) point D
|
a
|
|
synthetic
|
150_Length
|
The height of blue is 15. Which of the following options is a reasonable estimate of the height of red?
|
(a) 8 (b) 14 (c) 19 (d) 7
|
value estimation
|
Length
|
<image>The height of blue is 15. Which of the following options is a reasonable estimate of the height of red?
(a) 8 (b) 14 (c) 19 (d) 7
|
b
|
|
synthetic
|
17_Length
|
Given the length of line segment A is 10.0, which of the following options is most likely the length of line segment B?
|
(a) (9, 10) (b) (6, 7) (c) (11, 12) (d) (14, 15)
|
range estimation
|
Length
|
<image>Given the length of line segment A is 10.0, which of the following options is most likely the length of line segment B?
(a) (9, 10) (b) (6, 7) (c) (11, 12) (d) (14, 15)
|
c
|
|
synthetic
|
62_Angle
|
Which of the following options is a reasonable estimate of the sharp angle between two lines in the figure?
|
(a) 12 degrees (b) 78 degrees (c) 36 degrees (d) 61 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the sharp angle between two lines in the figure?
(a) 12 degrees (b) 78 degrees (c) 36 degrees (d) 61 degrees
|
b
|
|
synthetic
|
120_Quantity
|
Which of the following colors of objects in the figure is most likely to have the highest quantity?
|
(a) blue (b) green (c) purple (d) red
|
value comparison
|
Quantity
|
<image>Which of the following colors of objects in the figure is most likely to have the highest quantity?
(a) blue (b) green (c) purple (d) red
|
a
|
|
synthetic
|
148_Area
|
In the ABCD sections of the pie chart below, which section has the largest area?
|
(a) area A (b) area B (c) area C (d) area D
|
value comparison
|
Area
|
<image>In the ABCD sections of the pie chart below, which section has the largest area?
(a) area A (b) area B (c) area C (d) area D
|
a
|
|
synthetic
|
87_Quantity
|
Which of the following options is a reasonable range of estimates for the number of cubes in the figure?
|
(a) [1, 10) (b) [10, 20) (c) [20, 30) (d) More than 30
|
range estimation
|
Quantity
|
<image>Which of the following options is a reasonable range of estimates for the number of cubes in the figure?
(a) [1, 10) (b) [10, 20) (c) [20, 30) (d) More than 30
|
b
|
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