401 P6.AN.NK.17052106
Level 3
The figure, not drawn to scale, is made up of a triangle QRS, an equilateral triangle KLM and a trapezium NPRS. ∠SRP = 117°, ∠RPN = 63° and ∠PNS = 55°. Find the sum of ∠a, ∠b, and ∠c.
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
402 P6.AN.NK.17052108
Level 3
The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
403 P5.AN.JM.17083234
Level 3
In the figure, ABC is parallel to DEF and DC cuts ∠BDE equally. Given that ∠ABD = 50° and ∠BGC = 105°, find
  1. ∠p
  2. ∠q
3 m
Exterior angle of a triangle Alternate angles
404 P5.AP.JM.17083209
Level 3
The figure is made up of two shaded triangles within a rectangle. Find the area of the unshaded part.
3 m
Rectangle Triangle Composite figure area
405 P5.AN.NK.23041250
Level 3
In the figure, ABCD is a rectangle and BDE is an isosceles triangle. Given that BD = BE, ∠BED = 55° and ∠ADE = 253°, find ∠ DBC.
3 m
Rectangle Isosceles triangle Angles at a point Alternatte angles
406 P6.AN.NK.17051722
Level 3
In the figure, not drawn to scale, JKL is an isosceles triangle, KLMN is a parallelogram and NKJ is a straight line. Find ∠NQP.
3 m
Isosceles triangle Parallelogram Angles on a straight line Interior angles Sum of angles in a quadrilateral
407 P5.AP.JM.17083131
Level 3
The figure is made up of 2 triangles, NJM and KLM. Find the area of the shaded part in the figure.
3 m
Triangle Composite figure area
408 P6.AP.TL.17090797
Level 3
In the figure, WXYZ is a rectangle. h = 20 cm, WX = 30 cm, XY = 24 cm. Find the area of the shaded parts.
3 m
Rectangle Triangle Composite figure area
409 P5.AN.JM.17083229
Level 3
MNOP is a parallelogram and MPQ is an equilateral triangle. QPO is a straight line. Find ∠MON.
3 m
Equilateral triangle Parallelogram Angles on a straight line Angles sum of triangle Alternate angles
410 P6.AP.TL.17090802
Level 3
MNO and NOP are two identical equilateral triangles. MN = NY and PO = OZ.  Given that MP = 42 cm and YZ = 72 cm, find the total unshaded areas.
3 m
Equilateral triangle Composite figure area
411 P5.AN.JM.17083139
Level 3
In the figure, PR // SU and PT = QT. Find ∠QTR.
3 m
Isosceles triangle Angles sum of triangle Alternate angles
412 P5.AP.NK.23102501
Level 3
In the figure, ABCD is a rectangle. E is a point on line AB. F and G are points on line DC. The total shaded area of triangles DEF and FBG is 112 cm2. AD = 14 cm and GC = 4 cm. Find the area of rectangle ABCD.
3 m
Length Rectangle Triangle Composite figure area
413 P6.AN.NK.17050207
Level 3
In the figure, O is the centre of the circle. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Exterior angle of a triangle Interior angles Angle properties within a circle
414 P5.AN.JM.17083153
Level 3
The figure shows a parallelogram. Find
  1. ∠x
  2. ∠y
  3. ∠z
3 m
Parallelogram Vertically opposite angles Angles sum of triangle Exterior angle of a triangle Alternate angles
415 P5.AP.NK.23022715
Level 3
ABCD is a rectangle. Find the area of the shaded part.
3 m
Rectangle Triangle Composite figure area
416 P6.AN.NK.17050203
Level 3
In the figure, not drawn to scale, WY, XZ and OX are straight lines. Given that O is the centre of the circle and ∠OWZ = 31°, find ∠OYZ.
3 m
Isosceles triangle Angles on a straight line Angles sum of a triangle Angle properties within a circle
417 P5.AP.JM.17083216
Level 3
The figure is made up of 2 squares of different sizes. Find the area of the shaded part.
3 m
Square Triangle Composite figure area
418 P6.AN.NK.17050204
Level 3
In the figure, not drawn to scale, O is the centre of the circle. HOC, FDC and ODE are straight lines. Find ∠EDF.
3 m
Isosceles triangle Vertically opposite angles Angles at a point Corresponding angles Angle properties within a circle
419 P6.AP.TL.17090794
Level 3
The figure consists of a rectangle, a quadrant and an isosceles triangle. Given that the radius of the quadrant is 10 cm and B is the midpoint of Line AC, find the difference between the shaded areas Y and Z. Express the answer in nearest whole number. (Take π = 3.14)
3 m
Rectangle Isosceles triangle Quarter circle Composite figure area W Round off
420 P5.AP.JM.17083186
Level 3
The figure, that is not drawn to scale, is made up of 2 rectangles of the same breadth. What is the area of the shaded part?
3 m
Rectangle Triangle Composite figure area

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