521 P6.AN.NK.21060925
Level 3 PSLE
In the figure, ABCD is a rectangle. The points F, G, and H lie on the rectangle ABCD. CEF and HEG are straight lines.
  1. Find ∠FGH.
  2. Find ∠ECH.
4 m
Rectangle Triangle Vertically opposite angles Angles sum of triangle Alternate angles
522 P5.AN.JM.17083239
Level 3
ABHI and CDGH are identical squares. Given that ∠DEF = 60° and FI is a straight line, find ∠HBC.
4 m
Right angle Square Isosceles triangle Angles on a straight line Corresponding angles
523 P6.AN.JC.23031305
Level 3 PSLE
ABCD is a parallelogram, ACE is an equilateral triangle and DC = DE.
  1. Find ∠ACD.
  2. Find ∠CDA.
  3. Find ∠EAB.
4 m
Isosceles triangle Equilateral triangle Parallelogram Angles sum of triangle Angles at a point Alternate angles
524 P5.AN.JM.17083154
Level 3
In the figure, RSU is a triangle with SU = SR, while QRST is a parallelogram and TSU is a straight line. Given ∠STQ = 92°, ∠PSU = 144° and ∠QPS = 51°, find
  1. ∠SRU
  2. ∠PSR
4 m
Isosceles triangle Parallelogram Angles at a point Corresponding angles
525 P5.AN.JM.17083155
Level 3
In the figure, given that KLMN is a parallelogram and QP is parallel to MN, find
  1. ∠KNM
  2. ∠MKN
  3. ∠KML
4 m
Parallelogram Angles sum of triangle Alternate angles Corresponding angles
526 P6.AN.NK.17051746
Level 3
The figure is not drawn to scale. BDEF is a parallelogram, ABF and BCF are isosceles triangles. FE//UZ and ∠EYZ= 104°. AD is straight line.
  1. Find ∠AFB.
  2. Find ∠DCF.
4 m
Isosceles triangle Parallelogram Angles on a straight line Corresponding angles
527 P6.AN.NK.17051756
Level 3
In the figure, ABCD is a parallelogram. CF, FG and AB are straight lines. ADE is an isosceles triangle.
  1. Find ∠x.
  2. Find ∠y.
4 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Corresponding angles
528 P5.AN.JM.17083245
Level 3
VXY is an equilateral triangle, PQRS is a rectangle and TUYX is a trapezium. VXT and VYU are straight lines. If ∠f = 80°, find
  1. ∠XTU
  2. Sum of ∠g, ∠h, ∠i and ∠j.
4 m
Right angle Rectangle Equilateral triangle Trapezium Corresponding angles
529 P6.AP.TL.17090820
Level 3
The figure shows 4 similar right-angled triangles arranged to form a big square which encloses a circle. The midpoints of the 4 sides of the big square touch the circumference of the circle. The two sides which form the right angle of each triangle are 16 cm and 12 cm respectively. Find the area of the shaded part. (Take π = 3.14)
4 m
Square Square & square root Right-angled triangle Circumference Circle area Composite figure area
530 P6.AN.NK.21060919
Level 2
In the figure, ABCD is a parallelogram and EA = EB.
  1. Find ∠y.
  2. Find ∠z.
4 m
Isosceles triangle Parallelogram Angles sum of triangle Angles at a point Interior angles
531 P6.AN.NK.17051734
Level 3
In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.
  1. Find ∠CGD.
  2. Find ∠GFE.
4 m
Rectangle Isosceles triangle Parallelogram Rhombus Angles at a point Interior angles
532 P6.AP.TL.17090821
Level 3
The figure is not drawn to scale. A, B and C are radii of 21 cm long. Find the area of the shaded part. (Take π = 227)
4 m
Triangle Semicircle
533 P6.AN.NK.17051723
Level 3
The figure is not drawn to scale. ABDE is a parallelogram. ∠EAO is 57° and ∠DBC is 28°. ABC is an isosceles triangle and AB = BC.
  1. Find ∠OCB.
  2. Find ∠AED.
4 m
Isosceles triangle Parallelogram Angles sum of triangle Alternate angles Interior angles
534 P6.AP.TL.17090822
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)
4 m
Equilateral triangle Circumference Semicircle
535 P5.AN.JM.17083144
Level 3
The figure shows a parallelogram STUV and a triangle VXY. UVX and ZVY are straight lines. Find ∠XYV.
4 m
Triangle Parallelogram Vertically opposite angles Angles sum of triangle Interior angles
536 P5.AP.NK.23041218
Level 3
In the figure, triangle DEF was drawn within 3 identical squares of side 9 cm. BC was 8 cm.
  1. Find the area of the shaded figure.
  2. The shaded figure was used as a design and printed on a piece of cloth. After printing, the total shaded area of the piece of cloth was 13005 cm2. What was the length of piece of cloth? (Give your answer in metres.)
4 m
Length Square Triangle Tiling Sets Unit conversion
537 P6.AN.NK.17051758
Level 3
ABEF is a parallelogram. DF, DG, AF and BE are straight lines. AB = AG. Find ∠BGC.
4 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Interior angles
538 P5.AN.JM.17083176
Level 3
The figure is not drawn to scale. MNOP is a square. JKLM is a parallelogram.
  1. Name the trapezium in the figure. Give your answer in letters in alphabetical order. (Eg ABCD)
  2. Find ∠JMP
4 m
Square Parallelogram Trapezium Right angle Angles sum of triangle Interior angles
539 P6.AN.NK.17051732
Level 3
The figure is not drawn to scale. Find
  1. ∠a
  2. ∠b
4 m
Angles on a straight line Angles sum of triangle Alternate angles Corresponding angles Interior angles
540 P5.AP.JM.17083191
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.
4 m
Rectangle Folded figure Fraction to units

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