Level 1 PSLE
PQRS is a square and PQ = PT. Find ∠QPT.
Level 1 PSLE
PQRS is a square and PQ = PT. Find ∠QPT.
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Level 2 PSLE
In the figure, ABE is an equilateral triangle and BCDE is a rhombus ∠DAB = 38°.
Find ∠CBE.
Level 2 PSLE
In the figure, ABE is an equilateral triangle and BCDE is a rhombus ∠DAB = 38°.
Find ∠CBE.
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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
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The figure is not drawn to scale. ∠PQR is a quadrant. Find ∠QRN.
The figure is not drawn to scale. ∠PQR is a quadrant. Find ∠QRN.
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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.
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.
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Level 1
In the figure, ABCD is a square. CEF and AEF are isosceles triangles and ∠BAE = 25°. Find ∠AFE.
Level 1
In the figure, ABCD is a square. CEF and AEF are isosceles triangles and ∠BAE = 25°. Find ∠AFE.
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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)
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)
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Level 2 PSLE
In the figure ABCD is a square, AB = BE and ∠BAE = 75°. Find ∠BCE.
Level 2 PSLE
In the figure ABCD is a square, AB = BE and ∠BAE = 75°. Find ∠BCE.
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Level 2
XYZ and OYZ are isosceles triangles. XY = XZ, OY = OZ, ∠XYO = 18° and ∠YOZ = 80°. Find ∠a.
Level 2
XYZ and OYZ are isosceles triangles. XY = XZ, OY = OZ, ∠XYO = 18° and ∠YOZ = 80°. Find ∠a.
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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.
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.
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Level 2 PSLE
ABCD is a trapezium, EA = EB and CBE is a straight line. Find ∠AEB.
Level 2 PSLE
ABCD is a trapezium, EA = EB and CBE is a straight line. Find ∠AEB.
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Level 2 PSLE
ABCD is a trapezium with AB parallel to DC and AB = BC = BD.
Find ∠CBD.
Level 2 PSLE
ABCD is a trapezium with AB parallel to DC and AB = BC = BD.
Find ∠CBD.
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Level 2 PSLE
In the figure, ABCD is a rectangle. BD = BE, ∠BED = 40° and ∠EDA = 264°. Find ∠CDB.
Level 2 PSLE
In the figure, ABCD is a rectangle. BD = BE, ∠BED = 40° and ∠EDA = 264°. Find ∠CDB.
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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.
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.
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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)
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)
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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.
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.
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Level 3 PSLEThe 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.
- Find the length of AE in terms of w. Give your answer in the simplest form.
- Find the total area of the figure when w = 16.
Level 3 PSLEThe 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.
- Find the length of AE in terms of w. Give your answer in the simplest form.
- Find the total area of the figure when w = 16.
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Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
- ∠BAQ
- ∠DCQ
.
Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
- ∠BAQ
- ∠DCQ
.
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Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
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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.
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.
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