561 P6.AN.NK.17051738
Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is 12 of ∠x and ∠z is 3 times of ∠y, find
  1. ∠z
  2. ∠w.
4 m
Isosceles triangle Angles on straight line Corresponding angles Sum of angles in a quadrilateral Fraction of a whole Fraction to units Times as many Units method
562 P5.AN.JM.17083198
Level 3
In the figure, ABCD is a quadrilateral where ∠ABC = 130° and ∠BCD = 120°. ∠CDE = 78° and BC = CD. The point E on AD is such that BE is parallel to CD. Calculate
  1. ∠BDE
  2. ∠BAE
4 m
Isosceles triangle Sum of angles in a quadrilateral
563 P5.AN.JM.170831130
Level 3
Given that ABCD is a rhombus, calculate
  1. ∠ x
  2. ∠ y
4 m
Rhombus Vertically opposite angles Angles sum of triangle Sum of angles in a quadrilateral
564 P6.AN.NK.17050210
Level 3
In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.
4 m
Isosceles triangle Circle Angles at a point Sum of angles in a quadrilateral Angles properties within a circle Times as many Units method
565 P5.AN.JM.17083172
Level 3
ABCD is a rhombus. Find ∠z.
4 m
Isosceles triangle Rhombus Angles on a straight line Vertically opposite angles Interior angles Sum of angles in a quadrilateral
566 P5.AP.JM.17083193
Level 3
The figure consists of 2 squares of side 12 cm and 6 cm respectively. What is the area of the shaded triangle?
4 m
Square Triangle Composite figure area
567 P6.AP.TL.17090835
Level 3
The figure shows one big quadrant and two small semicircles. The radius of the big quadrant is 60 cm.
  1. Find the perimeter of the shaded figure. (Take π = 3.14)
  2. Find the shaded area of this figure. (Take π = 3.14)
4 m
Triangle Semicircle Quarter circle Composite figure perimeter Composite figure area
568 P5.AP.JM.17083213
Level 3
ABFG and CDEF are squares. The area of CDEF is 121 cm2. Find the total shaded area in the figure.
4 m
Square Triangle Composite figure area
569 P5.AP.NK.23022712
Level 3
The rectangle is made up of some triangles. The three shaded triangles are identical. The perimeter of the rectangle is 84 cm. Its breath is 15 cm. Find the total area of the shaded triangles.
4 m
Rectangle Triangle Composite figure area
570 P5.AN.JM.17083261
Level 3
In the figure, O is the centre of a semicircle and OABC is a rhombus. Given that ∠OCD = 28°, find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Rhombus Angles sum of triangle Corresponding angles Interior angles Angle properties of a circle
571 P5.AP.NK.23022719
Level 3
The shape, not drawn to scale, is made up of a square and some triangles. Find the shaded area.
4 m
Square Triangle Composite figure area
572 P5.AP.JM.17083220
Level 3
The figure is not drawn to scale. ABCD is a rectangle. M is the midpoint of AB and N is the midpoint of DC. Given that AE = FD = BG = HC and EF = GH = 4 cm, Find the area of the shaded part.
4 m
Rectangle Triangle Composite figure area
573 P5.AN.JM.17083256
Level 3
In the figure, ABCD is a parallelogram. O is the centre of the circle. Find
  1. ∠ADC
  2. ∠ABD
4 m
Parallelogram Angles sum of triangle Exterior angle of a triangle Interior angles Angle properties within a circle
574 P5.AP.JM.17083190
Level 3
The figure shows a rectangle of area 108 cm2. Given that DE = EF = FC, find the total area of the shaded parts in the figure.
4 m
Rectangle Triangle Composite figure area
575 P5.AP.NK.23012632
Level 3
The figure is made up of 3 different squares. Find the area of the shaded parts.
4 m
Square Triangle Composite area figure
576 P5.AP.NK.23022713
Level 3
The figure, not drawn to scale, is made up of identical small squares and big squares. The length of the small and big squares are 10 cm and 20 cm respectively. Find the area of the shaded parts.
4 m
Square Rectilinear area Triangle Composite figure area
577 P6.AP.TL.17090838
Level 3
In the figure. WXYZ is a rectangle. The ratio of the length of PX to the length of WX is 2 : 3. Q is the mid-point of XZ. The area of rectangle WXYZ is 192 cm2. What is the area of the shaded part?
4 m
Rectangle Triangle Cut & paste Ratio to units
578 P5.AP.JM.17083192
Level 3
The figure is made up of 6 identical triangles. Given that the perimeter of Square EFGH is 72 cm, Find the area of the whole figure.
4 m
Square Triangle Composite figure area
579 P6.AP.TL.17090839
Level 3
The diagram shows 3 identical circles embedded in a rectangle. Given that the length of the rectangle is 18 cm, find the total area of the shaded parts. Use calculator π. (Give the answer correct to 2 decimal places)
4 m
Rectangle Triangle Circle Semicircle Quarter circle Composite figure area Cut & paste
580 P5.AP.JM.17083194
Level 3
4 identical right-angled triangles are used to form a square as shown.
  1. What is the area of square ABCD?
  2. What is the length of Square ABCD?
4 m
Square Right-angled triangle Composite figure area

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