Dataset Viewer
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12
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stringclasses 340
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stringlengths 23
217
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500
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synthetic
|
118_Angle
|
Which of the following options is a reasonable estimate of the angle between the directions of the right bike and the left bike in the figure?
|
(a) 90 degrees (b) 135 degrees (c) 0 degrees (d) 45 degrees (e) 180 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle between the directions of the right bike and the left bike in the figure?
(a) 90 degrees (b) 135 degrees (c) 0 degrees (d) 45 degrees (e) 180 degrees
|
b
|
|
synthetic
|
34_Angle
|
Which of the following options is a reasonable estimate of the angle between the directions of the purple bike and the brown bike in the figure?
|
(a) 0 degrees (b) 135 degrees (c) 90 degrees (d) 180 degrees (e) 45 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle between the directions of the purple bike and the brown bike in the figure?
(a) 0 degrees (b) 135 degrees (c) 90 degrees (d) 180 degrees (e) 45 degrees
|
c
|
|
synthetic
|
62_Quantity
|
The number of blue objects is X times greater than the number of purple objects. Which of the following is a reasonable estimate for X?
|
(a) 2.0 (b) 3.7 (c) 4.8 (d) 1.4
|
multiplicative estimation
|
Quantity
|
<image>The number of blue objects is X times greater than the number of purple objects. Which of the following is a reasonable estimate for X?
(a) 2.0 (b) 3.7 (c) 4.8 (d) 1.4
|
d
|
|
synthetic
|
131_Angle
|
Which of the following options is a reasonable estimate of the sharp angle between two lines in the figure?
|
(a) 32 degrees (b) 12 degrees (c) 55 degrees (d) 85 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) 32 degrees (b) 12 degrees (c) 55 degrees (d) 85 degrees
|
d
|
|
synthetic
|
139_Angle
|
Which of the following options is a reasonable estimate of the angle EDF in the figure?
|
(a) (70, 80) degrees (b) (40, 50) degrees (c) (130, 140) degrees (d) (20, 30) degrees
|
range estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle EDF in the figure?
(a) (70, 80) degrees (b) (40, 50) degrees (c) (130, 140) degrees (d) (20, 30) degrees
|
b
|
|
synthetic
|
162_Quantity
|
Which of the following options is a reasonable estimate of the number of objects of green in the figure?
|
(a) 24 (b) 16 (c) 3 (d) 30
|
value estimation
|
Quantity
|
<image>Which of the following options is a reasonable estimate of the number of objects of green in the figure?
(a) 24 (b) 16 (c) 3 (d) 30
|
a
|
|
synthetic
|
133_Quantity
|
Which of the following colors of objects in the figure is most likely to have the highest quantity?
|
(a) blue (b) purple (c) green (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) purple (c) green (d) red
|
c
|
|
synthetic
|
162_Angle
|
Which of the following options is a reasonable estimate of the angle BMN in the figure?
|
(a) (130, 140) degrees (b) (170, 180) degrees (c) (150, 160) degrees (d) (80, 90) degrees
|
range estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle BMN in the figure?
(a) (130, 140) degrees (b) (170, 180) degrees (c) (150, 160) degrees (d) (80, 90) degrees
|
a
|
|
synthetic
|
123_Area
|
DABC is X times larger in area than NPMC. Which of the following options is a reasonable estimate for X?
|
(a) 4 (b) 1 (c) 0.5 (d) 0.25 (e) 2
|
multiplicative estimation
|
Area
|
<image>DABC is X times larger in area than NPMC. Which of the following options is a reasonable estimate for X?
(a) 4 (b) 1 (c) 0.5 (d) 0.25 (e) 2
|
a
|
|
synthetic
|
78_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) 58 (b) 98 (c) 76 (d) 12
|
value estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) 58 (b) 98 (c) 76 (d) 12
|
b
|
|
synthetic
|
0_Area
|
ADE is X times larger in area than DBCE. Which of the following options is a reasonable estimate for X?
|
(a) 0.25 (b) 4 (c) 0.5 (d) 1 (e) 2
|
multiplicative estimation
|
Area
|
<image>ADE is X times larger in area than DBCE. Which of the following options is a reasonable estimate for X?
(a) 0.25 (b) 4 (c) 0.5 (d) 1 (e) 2
|
a
|
|
synthetic
|
126_Angle
|
Angle B is X times larger than Angel A. Which of the following options is a reasonable estimate for X?
|
(a) 1.3 (b) 2.8 (c) 3.5 (d) 2.2
|
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) 1.3 (b) 2.8 (c) 3.5 (d) 2.2
|
a
|
|
synthetic
|
86_Quantity
|
Which of the following colors of objects in the figure is most likely to have the highest quantity?
|
(a) red (b) green (c) purple (d) blue
|
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) green (c) purple (d) blue
|
b
|
|
synthetic
|
108_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) CDBA (b) BDCA (c) ABCD (d) BADC
|
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) CDBA (b) BDCA (c) ABCD (d) BADC
|
a
|
|
synthetic
|
76_Length
|
Which of the following colors in the bar chart has the largest height?
|
(a) pink (b) blue (c) brown (d) black
|
value comparison
|
Length
|
<image>Which of the following colors in the bar chart has the largest height?
(a) pink (b) blue (c) brown (d) black
|
c
|
|
synthetic
|
60_Length
|
Given the length of line segment A is 3.8, which of the following options is most likely the length of line segment B?
|
(a) (8, 9) (b) (11, 12) (c) (6, 7) (d) (2, 3)
|
range estimation
|
Length
|
<image>Given the length of line segment A is 3.8, which of the following options is most likely the length of line segment B?
(a) (8, 9) (b) (11, 12) (c) (6, 7) (d) (2, 3)
|
d
|
|
synthetic
|
89_Quantity
|
Which of the following ranges is a reasonable estimate of the number of cubes in the figure?
|
(a) (0, 25) (b) (25, 50) (c) (50, 75) (d) (75, 100)
|
range estimation
|
Quantity
|
<image>Which of the following ranges is a reasonable estimate of the number of cubes in the figure?
(a) (0, 25) (b) (25, 50) (c) (50, 75) (d) (75, 100)
|
d
|
|
synthetic
|
28_Angle
|
Angle A is X times larger than Angel B. Which of the following options is a reasonable estimate for X?
|
(a) 2.0 (b) 3.4 (c) 1.4 (d) 2.6
|
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) 2.0 (b) 3.4 (c) 1.4 (d) 2.6
|
c
|
|
synthetic
|
92_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
|
c
|
|
synthetic
|
114_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 40 minutes, 9 hours and 50 minutes) (b) (12 hours and 20 minutes, 12 hours and 30 minutes) (c) (10 hours and 40 minutes, 10 hours and 50 minutes) (d) (4 hours and 40 minutes, 4 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) (9 hours and 40 minutes, 9 hours and 50 minutes) (b) (12 hours and 20 minutes, 12 hours and 30 minutes) (c) (10 hours and 40 minutes, 10 hours and 50 minutes) (d) (4 hours and 40 minutes, 4 hours and 50 minutes)
|
b
|
|
synthetic
|
167_Length
|
Which two points have the greatest distance between them?
|
(a) P2 and P3 (b) P1 and P2 (c) P1 and P3
|
value comparison
|
Length
|
<image>Which two points have the greatest distance between them?
(a) P2 and P3 (b) P1 and P2 (c) P1 and P3
|
c
|
|
synthetic
|
97_Quantity
|
The number of red objects is X times greater than the number of red objects. Which of the following is a reasonable estimate for X?
|
(a) 1.9 (b) 4.5 (c) 1.0 (d) 5.4
|
multiplicative estimation
|
Quantity
|
<image>The number of red objects is X times greater than the number of red objects. Which of the following is a reasonable estimate for X?
(a) 1.9 (b) 4.5 (c) 1.0 (d) 5.4
|
c
|
|
synthetic
|
71_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) 3.0 (b) 1.5 (c) 4.5 (d) 5.6
|
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) 3.0 (b) 1.5 (c) 4.5 (d) 5.6
|
b
|
|
synthetic
|
111_Angle
|
Angle BOC is X times larger than Angel AOC. Which of the following options is a reasonable estimate for X?
|
(a) 2.2 (b) 1.3 (c) 2.8 (d) 3.7
|
multiplicative estimation
|
Angle
|
<image>Angle BOC is X times larger than Angel AOC. Which of the following options is a reasonable estimate for X?
(a) 2.2 (b) 1.3 (c) 2.8 (d) 3.7
|
a
|
|
synthetic
|
45_Angle
|
Which of the following options best estimates the angle between two lines in the figure?
|
(a) (30, 40) degrees (b) (60, 70) degrees (c) (150, 160) 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) (30, 40) degrees (b) (60, 70) degrees (c) (150, 160) degrees (d) (160, 170) degrees
|
a
|
|
synthetic
|
89_Angle
|
Which of the following options is a reasonable estimate of the angle CBA in the figure?
|
(a) 90 degrees (b) 135 degrees (c) 180 degrees (d) 45 degrees (e) 10 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle CBA in the figure?
(a) 90 degrees (b) 135 degrees (c) 180 degrees (d) 45 degrees (e) 10 degrees
|
d
|
|
synthetic
|
111_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
|
a
|
|
synthetic
|
48_Angle
|
Which of the following options is a reasonable estimate of the angle DCB in the figure?
|
(a) (20, 30) degrees (b) (130, 140) degrees (c) (100, 110) degrees (d) (60, 70) degrees
|
range estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle DCB in the figure?
(a) (20, 30) degrees (b) (130, 140) degrees (c) (100, 110) degrees (d) (60, 70) degrees
|
b
|
|
synthetic
|
160_Length
|
The height of gray is 14. Which of the following options is a reasonable estimate of the height of blue?
|
(a) 17 (b) 13 (c) 15 (d) 8
|
value estimation
|
Length
|
<image>The height of gray is 14. Which of the following options is a reasonable estimate of the height of blue?
(a) 17 (b) 13 (c) 15 (d) 8
|
d
|
|
synthetic
|
12_Length
|
The height of orange is 19. Which of the following options is a reasonable estimate of the height of brown?
|
(a) 8 (b) 10 (c) 15 (d) 20
|
value estimation
|
Length
|
<image>The height of orange is 19. Which of the following options is a reasonable estimate of the height of brown?
(a) 8 (b) 10 (c) 15 (d) 20
|
c
|
|
synthetic
|
32_Angle
|
Angle BOC is X times larger than Angel AOC. Which of the following options is a reasonable estimate for X?
|
(a) 1.9 (b) 1.2 (c) 2.6 (d) 3.7
|
multiplicative estimation
|
Angle
|
<image>Angle BOC is X times larger than Angel AOC. Which of the following options is a reasonable estimate for X?
(a) 1.9 (b) 1.2 (c) 2.6 (d) 3.7
|
b
|
|
synthetic
|
138_Length
|
Move the ruler to measure the length of the object to the nearest centimeter. The object is about (_) centimeters long
|
(a) (4, 6) (b) (1, 3) (c) (5, 7) (d) (6, 8)
|
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) (4, 6) (b) (1, 3) (c) (5, 7) (d) (6, 8)
|
b
|
|
synthetic
|
136_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, 12 hours and 40 minutes) (b) (9 hours and 50 minutes, 9 hours and 59 minutes) (c) (2 hours and 30 minutes, 2 hours and 40 minutes) (d) (11 hours and 30 minutes, 11 hours and 40 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) (12 hours and 30 minutes, 12 hours and 40 minutes) (b) (9 hours and 50 minutes, 9 hours and 59 minutes) (c) (2 hours and 30 minutes, 2 hours and 40 minutes) (d) (11 hours and 30 minutes, 11 hours and 40 minutes)
|
c
|
|
synthetic
|
35_Angle
|
Which of the following options best estimates the angle between two lines in the figure?
|
(a) (140, 150) degrees (b) (20, 30) degrees (c) (40, 50) degrees (d) (60, 70) degrees
|
range estimation
|
Angle
|
<image>Which of the following options best estimates the angle between two lines in the figure?
(a) (140, 150) degrees (b) (20, 30) degrees (c) (40, 50) degrees (d) (60, 70) degrees
|
b
|
|
synthetic
|
95_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
|
d
|
|
synthetic
|
108_Scale
|
Which of the following options is the most likely estimate of the red dot's coordinates?
|
(a) 1.4 (b) 3.0 (c) 6.3 (d) 7.0
|
value estimation
|
Scale
|
<image>Which of the following options is the most likely estimate of the red dot's coordinates?
(a) 1.4 (b) 3.0 (c) 6.3 (d) 7.0
|
b
|
|
synthetic
|
42_Quantity
|
The number of purple objects is X times greater than the number of red objects. Which of the following is a reasonable estimate for X?
|
(a) 2.4 (b) 5.0 (c) 3.2 (d) 5.7
|
multiplicative estimation
|
Quantity
|
<image>The number of purple objects is X times greater than the number of red objects. Which of the following is a reasonable estimate for X?
(a) 2.4 (b) 5.0 (c) 3.2 (d) 5.7
|
a
|
|
synthetic
|
84_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) 2.6 (b) 4.2 (c) 6.0 (d) 7.8
|
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) 2.6 (b) 4.2 (c) 6.0 (d) 7.8
|
d
|
|
synthetic
|
5_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) ACDB (b) DABC (c) ABCD (d) ACBD
|
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) ACDB (b) DABC (c) ABCD (d) ACBD
|
a
|
|
synthetic
|
58_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
|
50_Angle
|
Angle A is X times larger than Angel B. Which of the following options is a reasonable estimate for X?
|
(a) 1.8 (b) 1.2 (c) 2.6 (d) 4.0
|
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) 1.8 (b) 1.2 (c) 2.6 (d) 4.0
|
a
|
|
synthetic
|
182_Area
|
Which of the following color options corresponds to the largest regular shape area?
|
(a) pink (b) blue (c) yellow (d) red
|
value comparison
|
Area
|
<image>Which of the following color options corresponds to the largest regular shape area?
(a) pink (b) blue (c) yellow (d) red
|
a
|
|
synthetic
|
183_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) (70%, 80%) (c) (20%, 30%) (d) (60%, 70%)
|
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) (70%, 80%) (c) (20%, 30%) (d) (60%, 70%)
|
c
|
|
synthetic
|
119_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) BDAC (b) DCBA (c) DBCA (d) ACBD
|
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) BDAC (b) DCBA (c) DBCA (d) ACBD
|
b
|
|
synthetic
|
76_Area
|
Which of the following options is a reasonable estimate of the area percentage of the pink portion of the bar chart?
|
(a) (70%, 80%) (b) (50%, 60%) (c) (20%, 30%) (d) (80%, 90%)
|
range estimation
|
Area
|
<image>Which of the following options is a reasonable estimate of the area percentage of the pink portion of the bar chart?
(a) (70%, 80%) (b) (50%, 60%) (c) (20%, 30%) (d) (80%, 90%)
|
c
|
|
synthetic
|
82_Area
|
A is X times larger in area than B. Which of the following options is a reasonable estimate for X?
|
(a) 0.5 (b) 4 (c) 2 (d) 0.25 (e) 1
|
multiplicative estimation
|
Area
|
<image>A is X times larger in area than B. Which of the following options is a reasonable estimate for X?
(a) 0.5 (b) 4 (c) 2 (d) 0.25 (e) 1
|
b
|
|
synthetic
|
25_Quantity
|
Which of the following colors of objects in the figure is most likely to have the highest quantity?
|
(a) red (b) purple (c) green (d) blue
|
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) purple (c) green (d) blue
|
a
|
|
synthetic
|
168_Angle
|
Which of the following options is a reasonable estimate of the obtuse angle between two lines in the figure?
|
(a) 146 degrees (b) 173 degrees (c) 104 degrees (d) 127 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) 146 degrees (b) 173 degrees (c) 104 degrees (d) 127 degrees
|
c
|
|
synthetic
|
143_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
|
b
|
|
synthetic
|
63_Length
|
The height of yellow is 8. Which of the following options is a reasonable estimate of the height of orange?
|
(a) 17 (b) 18 (c) 14 (d) 9
|
value estimation
|
Length
|
<image>The height of yellow is 8. Which of the following options is a reasonable estimate of the height of orange?
(a) 17 (b) 18 (c) 14 (d) 9
|
d
|
|
synthetic
|
41_Length
|
Which of the following colors in the bar chart has the largest height?
|
(a) blue (b) orange (c) red (d) green
|
value comparison
|
Length
|
<image>Which of the following colors in the bar chart has the largest height?
(a) blue (b) orange (c) red (d) green
|
c
|
|
synthetic
|
162_Area
|
ADC is X times larger in area than ABE. Which of the following options is a reasonable estimate for X?
|
(a) 1 (b) 0.5 (c) 0.25 (d) 2 (e) 4
|
multiplicative estimation
|
Area
|
<image>ADC is X times larger in area than ABE. Which of the following options is a reasonable estimate for X?
(a) 1 (b) 0.5 (c) 0.25 (d) 2 (e) 4
|
d
|
|
synthetic
|
41_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) 98 (b) 73 (c) 27 (d) 55
|
value estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) 98 (b) 73 (c) 27 (d) 55
|
a
|
|
synthetic
|
144_Angle
|
Which of the following options is a reasonable estimate of the angle between the directions of the cyan car and the yellow car in the figure?
|
(a) 180 degrees (b) 135 degrees (c) 0 degrees (d) 45 degrees (e) 90 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle between the directions of the cyan car and the yellow car in the figure?
(a) 180 degrees (b) 135 degrees (c) 0 degrees (d) 45 degrees (e) 90 degrees
|
b
|
|
synthetic
|
78_Angle
|
Which of the following options best estimates the angle between two lines in the figure?
|
(a) (50, 60) degrees (b) (30, 40) degrees (c) (150, 160) degrees (d) (10, 20) degrees
|
range estimation
|
Angle
|
<image>Which of the following options best estimates the angle between two lines in the figure?
(a) (50, 60) degrees (b) (30, 40) degrees (c) (150, 160) degrees (d) (10, 20) degrees
|
b
|
|
synthetic
|
157_Area
|
Which of the following options is a reasonable estimate of the area percentage of the purple portion of the bar chart?
|
(a) (80%, 90%) (b) (50%, 60%) (c) (20%, 30%) (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 bar chart?
(a) (80%, 90%) (b) (50%, 60%) (c) (20%, 30%) (d) (10%, 20%)
|
c
|
|
synthetic
|
96_Quantity
|
Which of the following options is a reasonable estimate of the number of objects of purple in the figure?
|
(a) 17 (b) 2 (c) 10 (d) 23
|
value estimation
|
Quantity
|
<image>Which of the following options is a reasonable estimate of the number of objects of purple in the figure?
(a) 17 (b) 2 (c) 10 (d) 23
|
d
|
|
synthetic
|
5_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) 176 (b) 98 (c) 220 (d) 26
|
value estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) 176 (b) 98 (c) 220 (d) 26
|
c
|
|
synthetic
|
131_Scale
|
Which of the following ranges is most likely to be the value of the column in the figure?
|
(a) (0.20, 0.30) (b) (0.70, 0.80) (c) (0.0, 0.10) (d) (0.40, 0.50)
|
range estimation
|
Scale
|
<image>Which of the following ranges is most likely to be the value of the column in the figure?
(a) (0.20, 0.30) (b) (0.70, 0.80) (c) (0.0, 0.10) (d) (0.40, 0.50)
|
d
|
|
synthetic
|
6_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) 0 (b) 220 (c) 203 (d) 102
|
value estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) 0 (b) 220 (c) 203 (d) 102
|
b
|
|
synthetic
|
21_Area
|
Which of the following color options corresponds to the largest regular shape area?
|
(a) orange (b) pink (c) green (d) purple
|
value comparison
|
Area
|
<image>Which of the following color options corresponds to the largest regular shape area?
(a) orange (b) pink (c) green (d) purple
|
d
|
|
synthetic
|
71_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
|
c
|
|
synthetic
|
73_Scale
|
Which of the following ranges is most likely to be the value of the class B in the figure?
|
(a) (0.70, 0.80) (b) (0.30, 0.40) (c) (0.50, 0.60) (d) (0.0, 0.10)
|
range estimation
|
Scale
|
<image>Which of the following ranges is most likely to be the value of the class B in the figure?
(a) (0.70, 0.80) (b) (0.30, 0.40) (c) (0.50, 0.60) (d) (0.0, 0.10)
|
a
|
|
synthetic
|
180_Quantity
|
Which of the following options is a reasonable estimate of the number of cubes in the figure?
|
(a) 12 (b) 20 (c) 6 (d) 31
|
value estimation
|
Quantity
|
<image>Which of the following options is a reasonable estimate of the number of cubes in the figure?
(a) 12 (b) 20 (c) 6 (d) 31
|
b
|
|
synthetic
|
168_Length
|
Which of the following options has data corresponding to twice the value of C?
|
(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 C?
(a) value A (b) value B (c) value C (d) value D
|
d
|
|
synthetic
|
66_Quantity
|
The number of red objects is X times greater than the number of blue objects. Which of the following is a reasonable estimate for X?
|
(a) 4.7 (b) 4.1 (c) 5.4 (d) 1.5
|
multiplicative estimation
|
Quantity
|
<image>The number of red objects is X times greater than the number of blue objects. Which of the following is a reasonable estimate for X?
(a) 4.7 (b) 4.1 (c) 5.4 (d) 1.5
|
d
|
|
synthetic
|
54_Area
|
Which of the following options is a reasonable estimate of the area percentage of the blue portion of the pie chart?
|
(a) (80%, 90%) (b) (50%, 60%) (c) (10%, 20%) (d) (30%, 40%)
|
range estimation
|
Area
|
<image>Which of the following options is a reasonable estimate of the area percentage of the blue portion of the pie chart?
(a) (80%, 90%) (b) (50%, 60%) (c) (10%, 20%) (d) (30%, 40%)
|
d
|
|
synthetic
|
16_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) 2.7 (b) 5.7 (c) 1.4 (d) 6.9
|
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) 2.7 (b) 5.7 (c) 1.4 (d) 6.9
|
c
|
|
synthetic
|
170_Length
|
Given the length of line segment B is 14.1, which of the following options is most likely the length of line segment A?
|
(a) (6, 7) (b) (10, 11) (c) (2, 3) (d) (13, 14)
|
range estimation
|
Length
|
<image>Given the length of line segment B is 14.1, which of the following options is most likely the length of line segment A?
(a) (6, 7) (b) (10, 11) (c) (2, 3) (d) (13, 14)
|
a
|
|
synthetic
|
131_Area
|
Which of the following options is a reasonable estimate of the area percentage of the black portion of the pie chart?
|
(a) 35% (b) 62% (c) 88% (d) 13%
|
value estimation
|
Area
|
<image>Which of the following options is a reasonable estimate of the area percentage of the black portion of the pie chart?
(a) 35% (b) 62% (c) 88% (d) 13%
|
d
|
|
synthetic
|
109_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 09 minutes (b) 2 hours and 26 minutes (c) 11 hours and 00 minutes (d) 6 hours and 51 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 09 minutes (b) 2 hours and 26 minutes (c) 11 hours and 00 minutes (d) 6 hours and 51 minutes
|
c
|
|
synthetic
|
57_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) 3.0 (b) 5.1 (c) 6.5 (d) 1.8
|
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) 3.0 (b) 5.1 (c) 6.5 (d) 1.8
|
d
|
|
synthetic
|
135_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_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
|
75_Length
|
The height of brown is 18. Which of the following options is a reasonable estimate of the height of black?
|
(a) 9 (b) 14 (c) 20 (d) 6
|
value estimation
|
Length
|
<image>The height of brown is 18. Which of the following options is a reasonable estimate of the height of black?
(a) 9 (b) 14 (c) 20 (d) 6
|
b
|
|
synthetic
|
65_Angle
|
Which of the following options is a reasonable estimate of the angle BDC in the figure?
|
(a) 90 degrees (b) 10 degrees (c) 45 degrees (d) 180 degrees (e) 135 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle BDC in the figure?
(a) 90 degrees (b) 10 degrees (c) 45 degrees (d) 180 degrees (e) 135 degrees
|
d
|
|
synthetic
|
59_Quantity
|
Which of the following colors of objects in the figure is most likely to have the highest quantity?
|
(a) green (b) purple (c) red (d) blue
|
value comparison
|
Quantity
|
<image>Which of the following colors of objects in the figure is most likely to have the highest quantity?
(a) green (b) purple (c) red (d) blue
|
a
|
|
synthetic
|
4_Length
|
Move the ruler to measure the length of the object to the nearest centimeter. The object is about (_) centimeters long
|
(a) 8 (b) 3 (c) 9 (d) 7
|
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) 8 (b) 3 (c) 9 (d) 7
|
b
|
|
synthetic
|
117_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) (0, 10) (b) (90, 100) (c) (70, 80) (d) (30, 40)
|
range estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) (0, 10) (b) (90, 100) (c) (70, 80) (d) (30, 40)
|
c
|
|
synthetic
|
16_Angle
|
Which of the following options is a reasonable estimate of the angle between two lines in the figure?
|
(a) 115 degrees (b) 155 degrees (c) 63 degrees (d) 15 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle between two lines in the figure?
(a) 115 degrees (b) 155 degrees (c) 63 degrees (d) 15 degrees
|
d
|
|
synthetic
|
4_Angle
|
Angle BOC is X times larger than Angel AOC. Which of the following options is a reasonable estimate for X?
|
(a) 1.4 (b) 3.8 (c) 2.3 (d) 3.2
|
multiplicative estimation
|
Angle
|
<image>Angle BOC is X times larger than Angel AOC. Which of the following options is a reasonable estimate for X?
(a) 1.4 (b) 3.8 (c) 2.3 (d) 3.2
|
a
|
|
synthetic
|
115_Angle
|
Which of the following options is a reasonable estimate of the obtuse angle between two lines in the figure?
|
(a) 144 degrees (b) 120 degrees (c) 173 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) 144 degrees (b) 120 degrees (c) 173 degrees (d) 102 degrees
|
b
|
|
synthetic
|
62_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) (60, 70) (b) (80, 90) (c) (0, 10) (d) (30, 40)
|
range estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) (60, 70) (b) (80, 90) (c) (0, 10) (d) (30, 40)
|
a
|
|
synthetic
|
125_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
|
d
|
|
synthetic
|
95_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) 72 (b) 90 (c) 50 (d) 27
|
value estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) 72 (b) 90 (c) 50 (d) 27
|
c
|
|
synthetic
|
174_Area
|
ACB is X times larger in area than ADE. Which of the following options is a reasonable estimate for X?
|
(a) 4 (b) 0.5 (c) 2 (d) 0.25 (e) 1
|
multiplicative estimation
|
Area
|
<image>ACB is X times larger in area than ADE. Which of the following options is a reasonable estimate for X?
(a) 4 (b) 0.5 (c) 2 (d) 0.25 (e) 1
|
c
|
|
synthetic
|
1_Angle
|
Which of the following options is a reasonable estimate of the angle BAF in the figure?
|
(a) 135 degrees (b) 180 degrees (c) 45 degrees (d) 10 degrees (e) 90 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle BAF in the figure?
(a) 135 degrees (b) 180 degrees (c) 45 degrees (d) 10 degrees (e) 90 degrees
|
a
|
|
synthetic
|
32_Area
|
Which of the following options is a reasonable estimate of the area percentage of the orange portion of the pie chart?
|
(a) 67% (b) 86% (c) 40% (d) 19%
|
value 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) 67% (b) 86% (c) 40% (d) 19%
|
d
|
|
synthetic
|
5_Area
|
ADO is X times larger in area than ODC. Which of the following options is a reasonable estimate for X?
|
(a) 2 (b) 0.25 (c) 0.5 (d) 4 (e) 1
|
multiplicative estimation
|
Area
|
<image>ADO is X times larger in area than ODC. Which of the following options is a reasonable estimate for X?
(a) 2 (b) 0.25 (c) 0.5 (d) 4 (e) 1
|
c
|
|
synthetic
|
35_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) CDBA (c) BCDA (d) DCAB
|
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) CDBA (c) BCDA (d) DCAB
|
a
|
|
synthetic
|
59_Area
|
Which of the following color options corresponds to the largest area?
|
(a) yellow (b) green (c) orange (d) blue
|
value comparison
|
Area
|
<image>Which of the following color options corresponds to the largest area?
(a) yellow (b) green (c) orange (d) blue
|
a
|
|
synthetic
|
130_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
|
b
|
|
synthetic
|
165_Angle
|
Which of the following options is a reasonable estimate of the angle between two lines in the figure?
|
(a) 165 degrees (b) 24 degrees (c) 141 degrees (d) 95 degrees
|
value estimation
|
Angle
|
<image>Which of the following options is a reasonable estimate of the angle between two lines in the figure?
(a) 165 degrees (b) 24 degrees (c) 141 degrees (d) 95 degrees
|
b
|
|
synthetic
|
41_Angle
|
Angle B is X times larger than Angel A. Which of the following options is a reasonable estimate for X?
|
(a) 3.9 (b) 2.0 (c) 1.4 (d) 3.3
|
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) 3.9 (b) 2.0 (c) 1.4 (d) 3.3
|
b
|
|
synthetic
|
144_Length
|
Which two points have the greatest distance between them?
|
(a) P1 and P3 (b) P1 and P2 (c) P2 and P3
|
value comparison
|
Length
|
<image>Which two points have the greatest distance between them?
(a) P1 and P3 (b) P1 and P2 (c) P2 and P3
|
b
|
|
synthetic
|
0_Quantity
|
Which of the following options is a reasonable estimate of the number of objects of all colors in the figure?
|
(a) 34 (b) 2 (c) 46 (d) 23
|
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) 34 (b) 2 (c) 46 (d) 23
|
c
|
|
synthetic
|
130_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) 2.6 (b) 4.5 (c) 1.0 (d) 6.7
|
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) 2.6 (b) 4.5 (c) 1.0 (d) 6.7
|
c
|
|
synthetic
|
17_Area
|
Which of the following options is a reasonable estimate of the area percentage of the pink portion of the bar chart?
|
(a) (80%, 90%) (b) (60%, 70%) (c) (40%, 50%) (d) (10%, 20%)
|
range estimation
|
Area
|
<image>Which of the following options is a reasonable estimate of the area percentage of the pink portion of the bar chart?
(a) (80%, 90%) (b) (60%, 70%) (c) (40%, 50%) (d) (10%, 20%)
|
d
|
|
synthetic
|
16_Scale
|
Which of the following options is a reasonable estimate of the time the clock in the figure is pointing to?
|
(a) 3 hours and 27 minutes (b) 4 hours and 46 minutes (c) 10 hours and 05 minutes (d) 7 hours and 44 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) 3 hours and 27 minutes (b) 4 hours and 46 minutes (c) 10 hours and 05 minutes (d) 7 hours and 44 minutes
|
c
|
|
synthetic
|
29_Scale
|
Which of the following options is an estimate of the value in the figure?
|
(a) 40 (b) 56 (c) 18 (d) 92
|
value estimation
|
Scale
|
<image>Which of the following options is an estimate of the value in the figure?
(a) 40 (b) 56 (c) 18 (d) 92
|
a
|
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