21 P6.RD.TL.17042445
Level 3
In the figure, not drawn to scale, 40% of the triangle XEZ is shaded. The ratio of the shaded part of circle to the unshaded part of the circle is 5 : 9. What percentage of the rectangle WXZY is shaded?
3 m
Ratio to units Finding percent Percent to units Area perimeter Repeated identity Units table
22 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
23 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
24 P6.RA.NK.17082801
Level 3
The figure, not drawn to scale, shows a rectangle, WXYZ, which is divided in 4 parts, A, B, C, D. The ratio of the area of D to the area of C is 1 : 3. The ratio of the area of C to the area of B is 2 : 7. If the area of A is 238 cm2 , what is the area of the rectangle WXYZ?
3 m
Area Perimeter Rectangle Ratio to units Repeated identity Units table
25 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
26 P6.RA.TL.16010110
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
3 m
Ratio to units Area perimeter Square Rectangle Overlapping area Unchanged difference Units table
27 P6.RA.TL.17042602
Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
3 m
Finding ratio LCM Area perimeter Rectangle Overlapping area Unchanged difference Units method
28 P6.AG.NK.21061107
Level 3 PSLE
The perimeter of figure ABCDE is (10w + 14) cm. The perimeter of square ABCD is 20 cm.
  1. Find the perimeter of triangle ADE in terms of w.
  2. The perimeter of figure ABCDE is 44 cm. What is the value of w?
3 m
Algebra in 1 variable Algebra substitution Area perimeter Square Triangle
29 P6.AG.JC.23030112
Level 3 PSLE
The figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
  1. Find the length of AE in terms of w. Give your answer in the simplest form.
  2. Find the total area of the figure when w = 16.
3 m
Algebra in 1 variable Algebra substitution Length Area perimeter Rectangle Isosceles triangle
30 P6.RD.TL.17042616
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure? (Take π = 227)
4 m
Fraction to units Ratio to units Area Perimeter Overlapping area Units method
31 P6.RD.TL.17042721
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
  1. Find the ratio of the area of Pentagon A to the area of Pentagon C.
  2. 23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
4 m
Fraction to units Finding ratio Ratio to units Area perimeter Overlapping area Repeated identity Units method
32 P6.RD.TL.17042614
Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
4 m
Percent of a whole Percent to units Percent of different bases Area perimeter Triangle Overlapping area Repeated identity Units method
33 P6.FR.JC.17053010
Level 3 PSLE
ABCD is a square. The shaded parts X and Y are two squares with different areas. All the corners of squares X and Y lie either on the sides of square ABCD or on the line AC. If the area of the square is 360 cm2. Find the shaded area.
3 m
Fraction of a whole F Addition & subtraction Fraction to units Area Perimeter Square Units method
34 P6.PA.JM.18011218
Level 3
Each of the figures is made up of 1-cm sticks.
The table shows the number of sticks used to make the figures and their perimeters.
  1. Find the number of sticks in Figure 12.
  2. What is the perimeter of Figure 177?
  3. Which figure requires a total number of 4007 sticks?
4 m
Equal intervals Area Perimeter
35 P6.PA.JC.17111310
Level 3
Each figure is made up of a number of identical sticks of 1-cm length.
  1. Find the perimeter of Figure 50.
  2. Find the number of sticks in Figure 100.
  3. Given that a figure has a perimeter, P, of 254 cm, find the number of squares in this figure.
4 m
Equal intervals Area Perimeter
36 P6.AG.JC.17080470
Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Rectangle
37 P6.AG.JC.17080471
Level 3
The perimeter of triangle A is equal to that of rectangle B.
  1. Find the length of rectangle B in terms of k.
  2. If k = 3, find the area of rectangle B.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Triangle Equal stage
38 P6.AG.JC.17080469
Level 3
A rectangle has a length of 16 cm and a breadth of 4q cm. Find
  1. its area in terms of q,
  2. its perimeter in terms of q,
  3. the area of the rectangle if q = 3.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Rectangle
39 P6.FR.JC.22052001
Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
4 m
Fraction of a whole Fraction to units Area perimeter Square Rectangle Overlapping area Combined repeated identity Units manipulation Units table
40 P6.PA.JC.17111329
Level 3
A T-shaped block consists of 4 squares of 1 cm2 each and the perimeter is 10 cm. Study the pattern with 1 block arranged to form 2 blocks and 3 blocks respectively.
  1. Find the perimeter of the pattern that consists of 20 blocks.
  2. If a pattern has a perimeter of 106 cm, find the number of squares that makes up the pattern.
5 m
Equal intervals Area Perimeter Square

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