Level 2 PSLE The figure shows a right-angled triangle, ABC, drawn on a grid.
- ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
- ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
- Find the ratio of the area of triangle ABC to the area of triangle ADE.
Level 2 PSLE The figure shows a right-angled triangle, ABC, drawn on a grid.
- ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
- ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
- Find the ratio of the area of triangle ABC to the area of triangle ADE.
Image in this question is not available.
Level 3
The figure, not drawn to scale, is made up of a triangle QRS, an equilateral triangle KLM and a trapezium NPRS. ∠SRP = 117°, ∠RPN = 63° and ∠PNS = 55°. Find the sum of ∠a, ∠b, and ∠c.
Level 3
The figure, not drawn to scale, is made up of a triangle QRS, an equilateral triangle KLM and a trapezium NPRS. ∠SRP = 117°, ∠RPN = 63° and ∠PNS = 55°. Find the sum of ∠a, ∠b, and ∠c.
Image in this question is not available.
Level 3
The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z
Level 3
The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z
Image in this question is not available.
Level 3
MNO and NOP are two identical equilateral triangles. MN = NY and PO = OZ. Given that MP = 42 cm and YZ = 72 cm, find the total unshaded areas.
Level 3
MNO and NOP are two identical equilateral triangles. MN = NY and PO = OZ. Given that MP = 42 cm and YZ = 72 cm, find the total unshaded areas.
Image in this question is not available.
Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?
Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?
Image in this question is not available.
Level 3
The figure is not drawn to scale. UVY is an equilateral triangle and XVW is an isosceles triangle. WVU and VXZ are straight lines and WU//ZY. ∠YVZ = 90° and ∠XYV = 56°.
- Find ∠WVZ.
- Find ∠VXW.
- Find ∠YXZ.
Level 3
The figure is not drawn to scale. UVY is an equilateral triangle and XVW is an isosceles triangle. WVU and VXZ are straight lines and WU//ZY. ∠YVZ = 90° and ∠XYV = 56°.
- Find ∠WVZ.
- Find ∠VXW.
- Find ∠YXZ.
Image in this question is not available.
Level 3
The figure is not drawn to scale. BCEF is a square and ABF is an equilateral triangle. CDE is an isosceles triangle. AED is a straight line.
- Find ∠FAE.
- Find ∠CDE.
Level 3
The figure is not drawn to scale. BCEF is a square and ABF is an equilateral triangle. CDE is an isosceles triangle. AED is a straight line.
- Find ∠FAE.
- Find ∠CDE.
Image in this question is not available.
Level 3
The figure is not drawn to scale. Triangle ABZ is an isosceles triangle. Triangle XYZ is an equilateral triangle. ∠BZA is
15 of ∠YXZ and ∠YZB = ∠XZA.
- Find ∠YZB.
- Find ∠XAZ.
Level 3
The figure is not drawn to scale. Triangle ABZ is an isosceles triangle. Triangle XYZ is an equilateral triangle. ∠BZA is
15 of ∠YXZ and ∠YZB = ∠XZA.
- Find ∠YZB.
- Find ∠XAZ.
Image in this question is not available.
Level 3 PSLE
In the diagram, XLP and YMN are equilateral triangles. WXYZ is a straight line. ∠ZYN = 62° and ∠WXL = 92°. Find ∠a.
Level 3 PSLE
In the diagram, XLP and YMN are equilateral triangles. WXYZ is a straight line. ∠ZYN = 62° and ∠WXL = 92°. Find ∠a.
Image in this question is not available.
Level 3
In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find
- One-third of ∠AFE
- Twice of ∠ECF
Level 3
In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find
- One-third of ∠AFE
- Twice of ∠ECF
Image in this question is not available.
Level 3 PSLEABCD is a parallelogram, ACE is an equilateral triangle and DC = DE.
- Find ∠ACD.
- Find ∠CDA.
- Find ∠EAB.
Level 3 PSLEABCD is a parallelogram, ACE is an equilateral triangle and DC = DE.
- Find ∠ACD.
- Find ∠CDA.
- Find ∠EAB.
Image in this question is not available.
Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
Image in this question is not available.
Level 3
Three similar sections are cut away from an equilateral cardboard triangle ABC. Each side of the equilateral triangle is 56 cm. Find the perimeter of the remaining cardboard. (Take π = 3.14)
Level 3
Three similar sections are cut away from an equilateral cardboard triangle ABC. Each side of the equilateral triangle is 56 cm. Find the perimeter of the remaining cardboard. (Take π = 3.14)
Image in this question is not available.
Level 3
In the figure, not drawn to scale, ABCD is a square, CDE is an equilateral triangle, CEFG is a rhombus, and BC = EC. Find
- ∠EFG
- ∠AEB.
Level 3
In the figure, not drawn to scale, ABCD is a square, CDE is an equilateral triangle, CEFG is a rhombus, and BC = EC. Find
- ∠EFG
- ∠AEB.
Image in this question is not available.