Level 1 PSLE
In the figure, PQRS and PSTU are rhombuses, which of the following pairs are parallel? Give your answer in number. (Eg 1)
(1) QR and UT
(2) QP and ST
1 m
Level 1 PSLE
Is the given shape a rhombus? Give your answer in number. (Eg Yes = 1; No = 2)
1 m
Level 1 PSLE
Is the given shape a rhombus? Give your answer in number. (Eg Yes = 1; No = 2)
1 m
Level 2 PSLE
In the figure, ABE is an equilateral triangle and BCDE is a rhombus ∠DAB = 38°. Find ∠CBE.
1 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
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 1
In the figure, not drawn to scale, PQRS is a rhombus. ∠QSP is 53°. RST is a straight line. Find ∠PST.
2 m
Level 2 PSLE
In the figure, STUV and SVWX are rhombuses. Find ∠SXW.
2 m
Level 2 PSLE
In the figure, EFGH is a rhombus with ∠HGF = 106°. HEYX is a trapezium with HX parallel to EY and ∠XHE = 30°. Find ∠YEF.
2 m
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.
3 m
Level 3 PSLE
EFG is an equilateral triangle and ABCD is a rhombus. DGH is a straight line. Find ∠z.
3 m
Level 3 PSLE
ABCD and BDEF are rhombuses. CGD is a straight line.
  1. Find ∠DBG.
  2. Find ∠CDE.
3 m
Level 3
In the figure, not drawn to scale, HIJ is equilateral triangle, HIJK and LMNP are identical rhombuses. Given that HI is parallel to PN, ∠MRS = 12° find ∠KRS.
3 m
Level 3
In the figure, not drawn to scale, QSTU and PRUV are rhombuses. Given that ∠TSR = 116° and ∠QPV = 124°, find
  1. ∠PVR
  2. ∠RWQ.
3 m
Level 3
The figure shows 3 identical isosceles triangles X, Y and Z, one more isosceles triangle, W, and a rhombus, C. What is the value of a?
3 m
Level 3
In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find
  1. ∠x
  2. ∠y.
3 m
Level 3
In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.
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
The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.
  1. Find ∠c.
  2. Find the difference between ∠a and ∠c.
4 m
Level 3 PSLE
In the figure, ABFG is a parallelogram and CDEF is a rhombus. GFE is a straight line. ∠BAG = 53°, ∠FBC = 27° and ∠DCE = 35°.
  1. Find ∠BFC.
  2. Find ∠BCD.
4 m