601 P6.AN.NK.17050209
Level 3
The figure, not drawn to scale, O is the centre of the circle and BG//CF//DE. Find
  1. ∠AOD
  2. ∠AFO
5 m
Isosceles triangle Circle Angles sum of a triangle Angles at a point Exterior angle of a triangle Interior angles
602 P6.AP.NK.21060409
Level 3 PSLE
In Figure 1, WXYZ is a rectangular piece of paper. After 4 identical triangles are cut out from the paper, the remaining paper is shown in Figure 2. The area of the remaining paper is 186 cm2.
  1. What is the area of each triangle that was cut out?
  2. The perimeter of Figure 2 is 36 cm longer than the perimeter of Figure 1. What is the perimeter of each triangle?
5 m
Rectangle Triangle More than or less than
603 P6.AN.NK.17051743
Level 3
In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find
  1. ∠x
  2. ∠y.
5 m
Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Interior angles Units & parts Elimination
604 P6.AN.JC.22050904
Level 3 PSLE
Maria has a triangular piece of paper ABC with BA =BC, ∠ABC = 82° and ∠CDE = 69°. ADC and BEC are straight lines. She folded it along the line DE as shown.
  1. Find ∠x.
  2. Find ∠y
5 m
Isosceles triangle Angles on a straight line Angles sum of triangle Folded figure
605 P5.AN.JM.17083138
Level 3
In the figure, PRT and QRS are straight lines. RP = RQ and SR = ST. If ∠QPR = 55°, find
  1. ∠PRS
  2. ∠RST
5 m
Isosceles triangle Angles on a straight line Exterior angle of a triangle
606 P5.AN.JM.17083227
Level 3
WXYZ is a rhombus, STZ and XTY are straight lines. If XT = TZ, ∠TZY = 18° and ∠VXY = 31°, find
  1. ∠TYZ
  2. ∠VST
5 m
Rhombus Angles on a straight line Exterior angle of a triangle
607 P6.AP.TL.17090845
Level 3
The figure shows a triangle KLM and 3 semicircles. If the shaded area of the semicircle, labelled y, is 13 the unshaded area of the semicircle, labelled x, find the total shaded area. (Take π = 3.14)
5 m
Triangle Semicircle Composite figure area Fraction to ratio
608 P6.AP.TL.17090847
Level 3
In the figure, ABCD is a square of sides 24 cm. G is the midpoint of BD. DE = EC. DG is 4 times of FG. AH is 38 of AG. Find the total shaded area.
5 m
Square Triangle Composite figure area Fraction of a whole Times as many Units method
609 P6.AP.TL.17090848
Level 3
The figure, not drawn to scale, is made up of a square, a quadrant and a semicircle. WXYZ is a square of side 28 cm. Find the area of the shaded part. (Take π = 227)
5 m
Square Triangle Circle area Semicircle Quarter circle Composite figure area
610 P5.AP.JM.17083211
Level 3
Belle painted a letter 'N' on a piece of rectangular cardboard that has a length of 15 cm. The ratio of the length to the breadth of the cardboard is 5 : 4. Both triangles were identical. What area of the cardboard was painted?
5 m
Rectangle Triangle Composite figure area Ratio to units Units method
611 P5.AP.JM.17083235
Level 3
ABCD is a rectangle which has a breadth of 8 cm. It is divided into 4 triangles. Triangle X is 110 of the area of the rectangle and 13 the area of Triangle Z. Triangle Y has an area of 12 cm2.
  1. Find the area of the rectangle.
  2. Find the perimeter of the rectangle.
5 m
Rectangle Triangle Composite figure area Fraction of a whole
612 P6.AP.TL.17090841
Level 3
The figure is made up of a right-angled triangle ABC and two semicircles with AB and BC as their diameters respectively. The two semicircles and the line AC meet at D as shown. AB = 12 cm. BC = 16 cm and AC = 20 cm. (Take π = 3.14)
  1. Find the perimeter of the shaded region. Correct the answer to 2 decimal places.
  2. Find the area of the shaded region.
5 m
Right-angled triangle Circumference Semicircle Composite figure perimeter Composite figure area Overlapping area D Place values D Round off
613 P6.AP.TL.17090851
Level 3
In the figure, not drawn to scale, WXYZ is a rectangle with a length of 45 cm and a width of 22 cm. The area of the quadrilateral ABCD is 75 cm2. Find the ratio of the shaded area to the unshaded area.
5 m
Rectangle Triangle Composite figure area Overlapping area Finding ratio R Simplest form
614 P5.AP.JM.17083241
Level 3
In the figure, not drawn to scale, Triangle ABC and DEF are identical right-angled triangles. Find the unshaded area of the figure.
5 m
Right-angled triangle Overlapping area
615 P1.WN.JC.18100894
Level 3
Jennifer draws 5 different triangles. How many sides does she draw in all?
3 m
W Multiplication & division Triangle
616 P3.WN.JM.17110800
Level 3
Benedict used 84 sticks to make a total of 22 triangles and pentagons. A triangle was made using 3 sticks and a pentagon was made using 5 sticks. How many pentagons were there?
4 m
Make supposition
617 P3.WN.JM.17110664
Level 3
If the sum of 4 stars stands for 24 and the product of 2 triangles stands for 49, how much do the product of a star and a triangle stands for?
4 m
W 4 operations Units & parts Substitution

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