Type 1: Five figures numbered 1 to 5 are given, followed by four alternatives. Select the alternative that names the three figures which, when fitted into each other, form a complete square, equilateral triangle or triangle, as stated in the question. Type 2: A figure (X) with a gap is given, followed by four alternatives. Select the figure that fits exactly into figure (X) to form a complete square.
Question 1
Pick the figure from the options that fits into Figure-X without any gap to form a complete square.

Figure X with a gap, and four answer figures 1 to 4, shape construction question 18
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Figure (4), when turned, fits exactly into the gap of figure (X) to form a complete square, as shown in the solution image (the fitted part is shaded). Each of the other figures differs from the gap in one step or slope.


solution figure showing the shape assembled for shape construction question 18
Question 2
Identify the alternative that fills Figure-X exactly to give a complete square.

Figure X with a gap, and four answer figures 1 to 4, shape construction question 17
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Figure (2), when turned, fits exactly into the gap of figure (X) to form a complete square, as shown in the solution image (the fitted part is shaded). Each of the other figures differs from the gap in one step or slope.


solution figure showing the shape assembled for shape construction question 17
Question 3
Find the figure among the four alternatives that fits Figure-X exactly and forms a complete square.

Figure X with a gap, and four answer figures 1 to 4, shape construction question 16
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Figure (4), when turned, fits exactly into the gap of figure (X) to form a complete square, as shown in the solution image (the fitted part is shaded). Each of the other figures differs from the gap in one step or slope.


solution figure showing the shape assembled for shape construction question 16
Question 4
Choose the alternative figure that, when fitted into Figure-X, completes the square.

Figure X with a gap, and four answer figures 1 to 4, shape construction question 15
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Figure (2), when turned, fits exactly into the gap of figure (X) to form a complete square, as shown in the solution image (the fitted part is shaded). Each of the other figures differs from the gap in one step or slope.


solution figure showing the shape assembled for shape construction question 15
Question 5
Which of the four alternatives fits exactly into the gap in Figure-X to make a complete square?

Figure X with a gap, and four answer figures 1 to 4, shape construction question 14
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Figure (3), when turned, fits exactly into the gap of figure (X) to form a complete square, as shown in the solution image (the fitted part is shaded). Each of the other figures differs from the gap in one step or slope.


solution figure showing the shape assembled for shape construction question 14
Question 6
Select the figure from the four alternatives that fits exactly into Figure-X to form a complete square.

Figure X with a gap, and four answer figures 1 to 4, shape construction question 13
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Figure (1), when turned, fits exactly into the gap of figure (X) to form a complete square, as shown in the solution image (the fitted part is shaded). Each of the other figures differs from the gap in one step or slope.


solution figure showing the shape assembled for shape construction question 13
Question 7
Choose the alternative that gives the three figures, out of the five shown, that together form a triangle.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 12
A
1, 2, 3✓✗
B
2, 3, 4✓✗
C
2, 4, 5✓✗
D
3, 4, 5✓✗
Explanation
Figures 1, 2, 3 fit together to form the triangle, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 12
Question 8
Which three of the five given figures can be joined to make a complete triangle? Choose the correct alternative.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 11
A
1, 2, 5✓✗
B
1, 4, 5✓✗
C
1, 2, 4✓✗
D
3, 4, 5✓✗
Explanation
Figures 1, 2, 4 fit together to form the triangle, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 11
Question 9
Three of the five figures below fit into each other to form a triangle. Select the alternative that names those three figures.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 10
A
2, 3, 4✓✗
B
2, 4, 5✓✗
C
2, 3, 5✓✗
D
3, 4, 5✓✗
Explanation
Figures 2, 4, 5 fit together to form the triangle, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 10
Question 10
Pick the alternative that lists the three figures, out of the five shown, that fit together to make an equilateral triangle.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 9
A
1, 2, 3✓✗
B
1, 3, 5✓✗
C
2, 3, 4✓✗
D
2, 3, 5✓✗
Explanation
Figures 2, 3, 5 fit together to form the equilateral triangle, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 9
Question 11
Which three of the five given figures, when joined, form a complete equilateral triangle? Choose the correct alternative.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 8
A
1, 3, 5✓✗
B
1, 2, 3✓✗
C
1, 4, 5✓✗
D
3, 4, 5✓✗
Explanation
Figures 1, 2, 3 fit together to form the equilateral triangle, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 8
Question 12
Three of the five figures below can be fitted together to form an equilateral triangle. Select the alternative that names them.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 7
A
1, 2, 3✓✗
B
1, 2, 5✓✗
C
1, 3, 4✓✗
D
2, 4, 5✓✗
Explanation
Figures 2, 4, 5 fit together to form the equilateral triangle, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 7
Question 13
From the five figures given, find the three that fit into each other to form a square, and pick the matching alternative.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 6
A
1, 2, 4✓✗
B
1, 2, 5✓✗
C
1, 3, 5✓✗
D
2, 3, 4✓✗
Explanation
Figures 1, 2, 4 fit together to form the square, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 6
Question 14
Select the option that names the three of the five figures which, when put together, make a complete square.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 5
A
1, 2, 3✓✗
B
1, 3, 5✓✗
C
1, 3, 4✓✗
D
2, 4, 5✓✗
Explanation
Figures 1, 3, 4 fit together to form the square, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 5
Question 15
Out of the five figures below, three will join to form a complete square. Identify the alternative that lists them.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 4
A
1, 3, 4✓✗
B
1, 3, 5✓✗
C
3, 4, 5✓✗
D
1, 4, 5✓✗
Explanation
Figures 3, 4, 5 fit together to form the square, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 4
Question 16
Choose the alternative that gives the three figures, out of the five shown, that fit together to form a complete square.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 3
A
1, 2, 3✓✗
B
1, 3, 5✓✗
C
1, 4, 5✓✗
D
2, 3, 4✓✗
Explanation
Figures 1, 2, 3 fit together to form the square, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 3
Question 17
Which three of the five given figures can be fitted together to make a complete square? Choose the correct alternative.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 2
A
1, 2, 3✓✗
B
1, 2, 4✓✗
C
1, 2, 5✓✗
D
1, 3, 5✓✗
Explanation
Figures 1, 3, 5 fit together to form the square, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 2
Question 18
Three of the five figures below, when fitted into each other, form a complete square. Select the alternative that names those three figures.

five numbered figures 1 to 5 that are pieces of a shape, shape construction question 1
A
1, 2, 4✓✗
B
1, 2, 3✓✗
C
1, 2, 5✓✗
D
2, 4, 5✓✗
Explanation
Figures 1, 2, 3 fit together to form the square, as shown in the solution image (the pieces may need to be turned). The remaining figures are of the wrong size or shape to complete it.


solution figure showing the shape assembled for shape construction question 1
Share: