Level 1 PSLE
AB and BC are two sides of a parallelogram. Which point when joined to A and C will form a parallelogram?
1 m
Level 1 PSLE
CB forms one side of the right-angled triangle. Which point when joined to C and B will form the right-angled triangle?
1 m
Level 2 PSLE
A parallelogram ABCD is drawn on a square grid.
  1. Using the line XY, identify point Z on the grid to draw triangle XYZ such that it has the same perimeter as ABCD and XY = YZ. Give your number in number. (Eg 1)
  2. Find the ratio of the area of XYZ to the area of ABCD.
2 m
Level 1 PSLE
A unit shape in the form of a right-angled triangle is drawn in the grid. Cindy forms a rectangle by joining two unit shapes as shown. In addition to the rectangle, Cindy wants to form a trapezium. This figure is to be formed with the smallest number of unit shapes. How many triangles are required to construct the smallest trapezium?
1 m
Level 2 PSLE
A trapezium A is drawn by joining dots on the square grid with four straight lines. In the same way,
  1. how many complete unit squares are required to draw a rectangle twice the area of trapezium A?
  2. How many unit squares are required to draw a parallelogram with the same perimeter as trapezium A?
2 m
Level 2 PSLE
Dina has some cards in the shape of rhombuses of sides 4 cm. She placed them in a row to form a parallelogram of perimeter 168 cm. How many cards did Dina use?
2 m
Level 2 PSLE
ABCD is a trapezium, EA = EB and CBE is a straight line. Find ∠AEB.
2 m
Level 2
In the figure, ABCD is a parallelogram and BEF is a triangle. EG is a straight line and HG is parallel to DC. ∠DGH = 110° and ∠ADG = 130°. Find ∠ABC.
2 m
Level 2 PSLE
ABCD is a parallelogram. AXD and BYC are straight lines. ∠DXY = 106° and ∠AYB is a right angle. Find ∠AYX.
2 m
Level 2
In the figure, not drawn to scale, ABCD is a parallelogram. ∠CDE and ∠BAE are equal. Find ∠x.
2 m
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.
3 m
Level 3 PSLE
In the figure, RXYZ is a parallelogram. PZR and QZY are straight lines and PQ = QR. ∠PQZ = 28° and ∠XYZ = 52°.
  1. Find ∠YZR.
  2. Find ∠ZQR.
3 m
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
  1. ∠z
  2. ∠x + ∠y
  3. ∠y
3 m
Level 3
In the figure, ABCD is a parallelogram. AC = CE = CF. AF and CE are straight lines. ∠AEC = 73° and ∠AFC = 34°. Find ∠ABC.
3 m
Level 3
The figure is not drawn to scale. VWXY is a parallelogram. WZ and XZ are straight lines. UX = UW, ∠UWX = 57° and ∠UWV = 41°. Find the difference between ∠a and ∠b.
3 m
Level 3 PSLE
In the figure, WXYZ is a parallelogram and YZRS is a rhombus. ∠XYS = 90° and ∠YSZ = 24°. Find ∠WXY.
3 m
Level 3
In the figure, not drawn to scale, ACDE is a parallelogram and ABF is an isosceles triangle. EFCB is a straight line. ∠CDE = 100°, ∠ACF = 54° and ∠CAB = 12°. Find ∠EAF.
3 m
Level 3
In the figure not drawn to scale, a piece of paper that is of parallelogram shape is folded at two comers P and Q as shown. Find ∠a.
3 m
Level 3
In the figure, not drawn to scale, JKL is an isosceles triangle, KLMN is a parallelogram and NKJ is a straight line. Find ∠NQP.
3 m
Level 3
In the figure, ABCD is a parallelogram and C is the centre of the circle. Find ∠BCE.
3 m