1 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
2 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
3 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
4 P6.AN.NK.17050201
The figure is not drawn to scale. ∠PQR is a quadrant. Find ∠QRN.
2 m
Isosceles triangle Quarter circle
5 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
6 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
7 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
8 P6.AN.NK.21060908
Level 2 PSLE
In the figure ABCD is a square, AB = BE and ∠BAE = 75°. Find ∠BCE.
2 m
Right angle Square Isosceles triangle Angles sum of triangle
9 P6.AN.NK.17051711
Level 2
XYZ and OYZ are isosceles triangles. XY = XZ, OY = OZ, ∠XYO = 18° and ∠YOZ = 80°. Find ∠a.
2 m
Isosceles triangle Angles sum of triangle
10 P6.AN.NK.21060923
Level 2 PSLE
In the figure, ACDE is a trapezium. AE is parallel to CD. BCD is a straight line and AB = BC. Find ∠ABC.
2 m
Isosceles triangle Trapezium Angles sum of triangle Alternate angles
11 P6.AN.NK.21060924
Level 2 PSLE
ABCD is a trapezium, EA = EB and CBE is a straight line. Find ∠AEB.
2 m
Equilateral triangle Isosceles triangle Parallelogram Trapezium Angles sum of triangle Alternate angles
12 P6.AN.NK.21060929
Level 2 PSLE
ABCD is a trapezium with AB parallel to DC and AB = BC = BD.
Find ∠CBD.
2 m
Isosceles triangle Trapezium Angles sum of triangle Interior angles
13 P6.AN.NK.21060915
Level 2 PSLE
In the figure, ABCD is a rectangle. BD = BE, ∠BED = 40° and ∠EDA = 264°. Find ∠CDB.
2 m
Right angle Rectangle Isosceles triangle Angles at a point
14 P6.AP.TL.17090756
Level 2
The figure is formed using four identical isosceles triangles. AGD, AFB, BEC and CHD. ABCD is a square where E, F, G and H are midpoints of its sides. Given FJ = CJ, HK = BK and AD = 14 cm, find the total area of the shaded parts.
2 m
Square Isosceles triangle Composite figure area Cut & paste
15 P6.AP.TL.17090757
Level 2
The figure is formed by a circle and an isosceles triangle where PQ = PR. The radius of the circle is 14 cm. Find the area of the shaded part. (Take π = 227)
2 m
Isosceles triangle Right-angled triangle Circle Semicircle Composite figure area Cut & paste
16 P6.AP.JC.22050403
Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
2 m
Length Isosceles triangle Right-angled triangle Overlapping area
17 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
18 P6.AN.NK.17051730
Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
  1. ∠BAQ
  2. ∠DCQ
.
3 m
Right angle Square Isosceles triangle
19 P6.AN.NK.17052302
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
20 P6.AN.NK.17052307
Level 3
In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.
3 m
Square Equilateral triangle Isosceles triangle

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