1 P5.AN.JM.17083130
Level 1
In the figure not drawn to scale has a triangle with 2 angles given. Find the third angle and answer as Y = yes or N = no if this angle is an isosceles triangle.
1 m
Isosceles triangle
2 P5.AN.JM.17083208
Level 1
In the figure, ACE and BCD are straight lines. AC = BC. CD = ED and ∠CAB = 55°. Find ∠CED.
1 m
Isosceles triangle Vertically opposite angles
3 P5.AN.JM.17083131
Level 1
The figure shows an isosceles triangle XYZ. Given ∠XZY = 61°, find ∠XYZ.
1 m
Isosceles triangle Angles sum of triangle
4 P6.AN.NK.21060907
Level 1 PSLE
PQRS is a square and PQ = PT. Find ∠QPT.
1 m
Square Isosceles triangle Right angle Angles sum of triangle
5 P5.AN.JM.17083167
Level 3
In the figure, ABCD and BPQR are two rhombuses. If ∠PQR = 114° and ∠ADC = 96°, calculate
  1. ∠QPR
  2. ∠QCB
  3. ∠RSC
5 m
Isosceles triangle Rhombus Angles sum of triangle Exterior angle of a triangle Corresponding angles
6 P5.AN.JM.17083235
Level 1
ABCD is a parallelogram and CDE is an isosceles triangle. Find ∠ADC.
1 m
Isosceles triangle Parallelogram Angles sum of triangle Interior angles
7 P6.AN.NK.21060920
Level 2 PSLE
In the figure, ABE is an equilateral triangle and BCDE is a rhombus ∠DAB = 38°. Find ∠CBE.
1 m
Equilateral triangle Isosceles triangle Rhombus Angles sum of triangle Interior angles
8 P6.AG.JC.17080442
Level 2
The perimeter of an isosceles triangle is (6k + 21) cm. The longest side is (2k + 7) cm. Find the length of one of the equal sides.
2 m
Algebra in 1 variable Algebra simplifying Length Area Perimeter Triangle
9 P5.AN.JM.17083136
Level 2
ACD and EBC are isosceles triangles. Find ∠m.
2 m
Isosceles triangle
10 P5.AN.NK.23041247
Level 2
ABC is an equilateral triangle and BCD is an isosceles triangle. DB = DC. Find ∠BDC.
2 m
Equilateral triangle Isosceles triangle Angles sum of triangle
11 P5.AN.JM.17083141
Level 2
The figure shows a right-angled triangle RST. Given that ∠PQR = 73°, what is the value of ∠QRS?
2 m
Isosceles triangle Right-angled triangle Angles on a straight line Angles sum of triangle
12 P6.AN.NK.17050201
The figure is not drawn to scale. ∠PQR is a quadrant. Find ∠QRN.
2 m
Isosceles triangle Quarter circle
13 P5.AN.JM.17083128
Level 2
The figure shows a right-angled triangle ABC. Given that BD = CD and ∠BDC = 108°, what is the value of ∠CAB?
2 m
Isosceles triangle Right-angled triangle
14 P6.AP.TL.17090767
Level 2
The figures F and G, are two identical isosceles triangles. Both figures contain a square of a different size. Given that the area of the square in Figure F is 252 cm2, find the area of the square in Figure G.
2 m
Square Isosceles triangle Right-angled triangle Cut & paste
15 P6.AN.NK.17051707
Level 1
In the figure, ABCD is a square. CEF and AEF are isosceles triangles and ∠BAE = 25°. Find ∠AFE.
2 m
Right angle Square Isosceles triangle
16 P6.GE.NK.21060414
Level 2 PSLE
R is one of the points inside the box. Identify point R by the number next to the dot to complete a triangle PQR so that PQ = PR. Give your answer in number. (Eg 1)
1 m
Isosceles triangle Semicircle Grid dots
17 P5.AN.JM.17083124
Level 2
The figure shows an isosceles triangle. What is the value of ∠q?
2 m
Isosceles triangle Angles on a straight line
18 P5.AN.JM.17083133
Level 2
In the figure, ABCD is a rectangle and BDE is an isosceles triangle. Given that ∠BEC = 65°, find ∠DBE.
2 m
Rectangle Isosceles triangle Angles on a straight line
19 P5.AN.JM.17083196
Level 2
In the figure, KJN is a straight line. LMJ is an isosceles triangle and KJL is an equilateral triangle. Find ∠OJN.
2 m
Right angle Equilateral triangle Isosceles triangle Angles on a straight line
20 P5.AP.JM.17083118
Level 2
In the square grid, A is a right-angled triangle, B is a square and C is an isosceles triangle. Arrange A, B and C from the largest area to the smallest area.
2 m
Square Right-angled triangle Grid square Min-max

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