61 P6.AN.NK.21060908
Level 2 PSLE
In the figure ABCD is a square, AB = BE and ∠BAE = 75°. Find ∠BCE.
2 m
Right angle Square Isosceles triangle Angles sum of triangle
62 P6.RD.JC.17031303
Level 3 PSLE
In the figure not drawn to scale, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 3 : 1.
  1. What fraction of square ACEG is shaded?
  2. If the length of the square is 96 cm, find the unshaded area in cm2.
3 m
Fraction to units Ratio to units Area Perimeter Square Cut & paste
63 P6.FR.JC.17050718
Level 2
The figure is made up of a rectangle and a square. 79 of the square is unshaded and 16 of the rectangle is shaded. What fraction of the figure is shaded?
2 m
Fraction of a whole Fraction to units Area perimeter Square Rectangle Overlapping area Repeated identity Units table
64 P6.AP.TL.17090709
Level 2
Find the perimeter of the shaded parts. (Take π = 3.14)
2 m
Square Circle
65 P6.AP.TL.17090716
Level 2
The circles are not drawn to scale. The small circle is with radius a and the big circle is with radius A. The ratio of a to A is 4 : 7. If the area of the small circle is 169π cm2, find A. Express the answer in mixed number.
2 m
Square & square root Circle Mixed numbers Ratio to units Units method
66 P6.AP.TL.17090721
Level 2
A rectangle is placed in a circle with O as the centre. Use the calculator value of π to find the shaded part of the circle. Correct the answer to 1 decimal place.
2 m
Rectangle Square & square root Triangle Circle area Fraction of a whole D Place values D Round off
67 P6.AP.TL.17090729
Level 2
The figure shows a circle. O is the centre and the diameter XOY is 42 cm long. Each of the shaded part is formed by the radius of the big circle and 2 identical quarter arcs. Find the total area of the shaded parts in the figure. (Take π = 227)
2 m
Square Quarter circle
68 P6.AP.TL.17090726
Level 2
5 identical quarter circles were cut out from a square cardboard of length 18 cm. Find the area of the 5 quarter circles. Leave the answer in terms of π.
2 m
Square Quarter circle Length
69 P6.AP.TL.17090730
Level 2
The figure, not drawn to scale, consists of a rectangle ABFG, a square BCDF, and 2 identical quadrants AGE and BFD. AG = 8 cm and FG = 4 cm. Find the shaded area. (Take π = 227)
2 m
Square Rectangle Quarter circle Cut & paste
70 P6.AP.TL.17090728
Level 2
The figure is made up of 2 identical circles with centres O and L. OKLM is a square of sides 10 cm. Find the area of the shaded part.
2 m
Square Circle area Quarter circle
71 P6.AP.TL.17090715
Level 2
W, X, Y and Z are mid-points of the sides of the square. If the area of the square is 100 cm2, what is the area of the unshaded triangles? Leave your answer in mixed number.
2 m
Square Triangle Composite figure area Mixed numbers F 4 operations
72 P6.RD.JC.16010108
Level 3
This figure is not drawn to scale. It is made up of 3 squares. The ratio of the area of the smallest square to the largest square is 2 : 9 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest square?
3 m
Fraction of a whole Ratio to units Area perimeter Square Overlapping area Unchanged total Units table
73 P6.AN.NK.21060914
Level 2 PSLE
In the figure, EFGH is a square, FJKL is a rectangle and ∠GFL = 249°. Find ∠ EFJ.
2 m
Right angle Square Rectangle Angles at a point Overlapping angles
74 P6.RD.TL.17042603
Level 3
The square is divided into 4 parts, W, X, Y and Z. W and X form 12 of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1 : 3. What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.
3 m
Fraction to units Ratio to units Area perimeter Square Times as many Unchanged total Units table Units manipulation
75 P6.AP.TL.17090738
Level 2 PSLE
The shaded figure is formed using 3 squares and 3 equilateral triangles. The length of the straight line PQ is 15 cm. Find the perimeter of the shaded figure.
2 m
Square Equilateral triangle Composite figure perimeter
76 P6.RA.TL.17042609
Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
3 m
Ratio to units Area Perimeter Unchanged total Units table
77 P6.AN.NK.17052202
Level 2
A square piece of paper is folded as shown in the figure.
  1. Find ∠ADE.
  2. Find ∠EDC.
2 m
Square Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
78 P6.AP.TL.17090743
Level 2
The figure is formed by 6 identical squares with 4 similar semi-circles cut out from it. Each square has a side of 14 cm. Find the perimeter of the shaded figure. Express the answer in terms of π.
2 m
Square Circumference Semicircle Composite figure perimeter
79 P6.AP.TL.17090742
Level 2
The figure is formed by 5 identical squares with 3 similar semi-circles cut out from it. Each square has a side of 14 cm. Find the perimeter of the shaded figure. Leave the answer in terms of π.
2 m
Length Square Circumference Semicircle Composite figure perimeter
80 P6.AP.TL.17090744
Level 2 PSLE
Anna has a square piece of paper FGHJ of side 21 cm. She cut along the dotted lines shown in Figure 1 to get one small square of area 9 cm2 and 8 identical right-angled triangles. Triangle KLM in Figure 2 is one such triangle. Find the length of KM.
2 m
Length Square Square & square root Right-angled triangle Composite figure area

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