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 2
The figure shows a parallelogram WXVZ and an isosceles triangle UZV. WZV and UZV are straight lines. Given that ∠XYZ = 118°, what is the value of ∠ZUV?
Level 2
The figure shows a parallelogram WXVZ and an isosceles triangle UZV. WZV and UZV are straight lines. Given that ∠XYZ = 118°, what is the value of ∠ZUV?
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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 2
Find the unknown angles.
- angle x
- angle y
Level 2
Find the unknown angles.
- angle x
- angle y
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Level 2
The figure shows a right-angled triangle and an isosceles triangle. Find ∠p.
Level 2
The figure shows a right-angled triangle and an isosceles triangle. Find ∠p.
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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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Level 3 PSLE
In the diagram, LMNP is a square and YX = YW = YZ. XZ is parallel to LP and it is perpendicular to WY. If ∠XWK is 105°, find ∠KWZ.
Level 3 PSLE
In the diagram, LMNP is a square and YX = YW = YZ. XZ is parallel to LP and it is perpendicular to WY. If ∠XWK is 105°, find ∠KWZ.
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Level 3
In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.
Level 3
In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.
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Level 3
The figure is not drawn to scale. ABCD is a rhombus and ∠BCF is 98°. BDF, CGF, EGD are straight lines. Find ∠DFG.
Level 3
The figure is not drawn to scale. ABCD is a rhombus and ∠BCF is 98°. BDF, CGF, EGD are straight lines. Find ∠DFG.
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Level 3
In the figure that is not drawn to scale, ABC is a straight line and BDE is an isosceles triangle. Find ∠x.
Level 3
In the figure that is not drawn to scale, ABC is a straight line and BDE is an isosceles triangle. Find ∠x.
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Level 3
In the figure, ABCD is a parallelogram and CEF is an isosceles triangle. BEDF is a straight line. ∠BAD = 100°, ∠CDE = 56° and ∠DCF = 14°. Find ∠BCE.
Level 3
In the figure, ABCD is a parallelogram and CEF is an isosceles triangle. BEDF is a straight line. ∠BAD = 100°, ∠CDE = 56° and ∠DCF = 14°. Find ∠BCE.
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Level 3 PSLE
In the figure, QRST is a square and QPT is an equilateral triangle. Given that USV is 12°, find ∠QSU.
Level 3 PSLE
In the figure, QRST is a square and QPT is an equilateral triangle. Given that USV is 12°, find ∠QSU.
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Level 2 PSLE
In the figure, PTR and STQ are straight lines. PQ = QR = RS. ∠PTS = 110° and ∠QPR = 30°. Find ∠PRS.
Level 2 PSLE
In the figure, PTR and STQ are straight lines. PQ = QR = RS. ∠PTS = 110° and ∠QPR = 30°. Find ∠PRS.
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Level 3 PSLE
In the figure, RXYZ is a parallelogram. PZR and QZY are straight lines and PQ = QR. ∠PQZ = 28° and ∠XYZ = 52°.
- Find ∠YZR.
- Find ∠ZQR.
Level 3 PSLE
In the figure, RXYZ is a parallelogram. PZR and QZY are straight lines and PQ = QR. ∠PQZ = 28° and ∠XYZ = 52°.
- Find ∠YZR.
- Find ∠ZQR.
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Level 3 PSLE ABCD and BDEF are rhombuses. CGD is a straight line.
- Find ∠DBG.
- Find ∠CDE.
Level 3 PSLE ABCD and BDEF are rhombuses. CGD is a straight line.
- Find ∠DBG.
- Find ∠CDE.
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Level 3
The figure is not drawn to scale. It shows a parallelogram TUVW and an isosceles triangle QTW next to it. ∠SWQ = 11°. SR and QP are straight lines. Find
- ∠z
- ∠x + ∠y
- ∠y
Level 3
The figure is not drawn to scale. It shows a parallelogram TUVW and an isosceles triangle QTW next to it. ∠SWQ = 11°. SR and QP are straight lines. Find
- ∠z
- ∠x + ∠y
- ∠y
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Level 3
The figure shows two isosceles triangle ABC and ABD. Given that ∠ADB = 50° and ∠ACB = 84°, what is the value of ∠DAC?
Level 3
The figure shows two isosceles triangle ABC and ABD. Given that ∠ADB = 50° and ∠ACB = 84°, what is the value of ∠DAC?
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