Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.
Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.
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Level 3
In the figure, a rectangular piece of paper measuring 26 cm by 18 cm is folded at the Corner D in such a way that BD is 13 of its breadth. Find the area of Triangle ABD.
Level 3
In the figure, a rectangular piece of paper measuring 26 cm by 18 cm is folded at the Corner D in such a way that BD is 13 of its breadth. Find the area of Triangle ABD.
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Level 3
In the figure, ABDE is a rhombus and BD = BC. Given that ∠EAB = 118°, find ∠EBC.
Level 3
In the figure, ABDE is a rhombus and BD = BC. Given that ∠EAB = 118°, find ∠EBC.
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Level 3
Given that BC is longer than ED by 10 cm and CD = 42 cm. BC is 25 of AB and the total area of Triangle AHF and Triangle CHD is 1323 cm2. Find the area of the unshaded triangles.
Level 3
Given that BC is longer than ED by 10 cm and CD = 42 cm. BC is 25 of AB and the total area of Triangle AHF and Triangle CHD is 1323 cm2. Find the area of the unshaded triangles.
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Level 3
ADEH and ACFH are parallelograms and BGF is an isosceles triangle. Given that ∠BFC = 39°, ∠AHG = 63° and ∠DFE = 49°, find
- ∠CFD,
- ∠DCF.
Level 3
ADEH and ACFH are parallelograms and BGF is an isosceles triangle. Given that ∠BFC = 39°, ∠AHG = 63° and ∠DFE = 49°, find
- ∠CFD,
- ∠DCF.
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Level 3
In the figure, not drawn to scale, ABC, CDE, BFE, and AFD are straight lines. What is the value of ∠x + ∠y?
Level 3
In the figure, not drawn to scale, ABC, CDE, BFE, and AFD are straight lines. What is the value of ∠x + ∠y?
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Level 3
ABCD is a parallelogram. ADE and BFE are straight lines.
Find the values of
- ∠t
- ∠w
- ∠v
- ∠u
Level 3
ABCD is a parallelogram. ADE and BFE are straight lines.
Find the values of
- ∠t
- ∠w
- ∠v
- ∠u
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Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.
- Find the area of the rectangular piece of paper.
- Find the total area of X, Y and Z in Figure B.
Level 3
The figure shows a rectangular piece of paper 32 cm by 5 cm which is coloured on one side. It is folded along the dotted line to form Figure B.
- Find the area of the rectangular piece of paper.
- Find the total area of X, Y and Z in Figure B.
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Level 3
In the figure, GACF and GABE are parallelograms. Given that ∠CAD = 13°, ∠GFE = 77° and GEF is an isosceles triangle where GE = GF. Find
- ∠ADC,
- ∠GAD.
Level 3
In the figure, GACF and GABE are parallelograms. Given that ∠CAD = 13°, ∠GFE = 77° and GEF is an isosceles triangle where GE = GF. Find
- ∠ADC,
- ∠GAD.
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Level 3
ABCD and RSTC are rhombuses. Find ∠RVB.
Level 3
ABCD and RSTC are rhombuses. Find ∠RVB.
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Level 3
The figure is not drawn to scale. ADFJ is a parallelogram. CGI and BEH are triangles. ∠CGH = 79° and HBE = 53°. Find
- ∠BCG
- the sum of ∠BHE, ∠CYE and ∠EZG.
Level 3
The figure is not drawn to scale. ADFJ is a parallelogram. CGI and BEH are triangles. ∠CGH = 79° and HBE = 53°. Find
- ∠BCG
- the sum of ∠BHE, ∠CYE and ∠EZG.
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Level 3
The figure is made up of a circle, a triangle and a square of sides 28 cm. E is the mid-point of AD. Find the area of the shaded region. (Take π = 227)
Level 3
The figure is made up of a circle, a triangle and a square of sides 28 cm. E is the mid-point of AD. Find the area of the shaded region. (Take π = 227)
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Level 3
Given that ABCD is a trapezium and ABD is an isosceles triangle, find the values of
- ∠x
- ∠y
Level 3
Given that ABCD is a trapezium and ABD is an isosceles triangle, find the values of
- ∠x
- ∠y
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Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is
12 of ∠x and ∠z is 3 times of ∠y, find
- ∠z
- ∠w.
Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is
12 of ∠x and ∠z is 3 times of ∠y, find
- ∠z
- ∠w.
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Level 3
The figure is made up of a big semicircle of diameter 8 cm and 2 small semicircles with diameter 5.7 cm. Find the shaded area. Round off the answer to nearest 1 decimal place. (Take π = 3.14)
Level 3
The figure is made up of a big semicircle of diameter 8 cm and 2 small semicircles with diameter 5.7 cm. Find the shaded area. Round off the answer to nearest 1 decimal place. (Take π = 3.14)
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Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
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Level 3
In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.
Level 3
In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.
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Level 3
The figure shows a circle with centre O and diameter, 14 cm. ABCD and OAEB are squares. Find the total area of the shaded portions of the figure. (Take π = 227)
Level 3
The figure shows a circle with centre O and diameter, 14 cm. ABCD and OAEB are squares. Find the total area of the shaded portions of the figure. (Take π = 227)
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Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
- Find ∠a.
- Find ∠c.
Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
- Find ∠a.
- Find ∠c.
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Level 3
In the figure, ABCD is a quadrilateral where ∠ABC = 130° and ∠BCD = 120°. ∠CDE = 78° and BC = CD. The point E on AD is such that BE is parallel to CD. Calculate
- ∠BDE
- ∠BAE
Level 3
In the figure, ABCD is a quadrilateral where ∠ABC = 130° and ∠BCD = 120°. ∠CDE = 78° and BC = CD. The point E on AD is such that BE is parallel to CD. Calculate
- ∠BDE
- ∠BAE
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