161 P6.SP.TL.18012267
Level 3
Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.
  1. Find the distance covered per second by Vivian in m.
  2. Find the distance covered per second by Kyle in m.
  3. When the two cyclists next met again at the starting point, how far would Vivian have covered? Express the answer in km.
3 m
DST triangle Same starting time Opposite direction Meeting point Circular track Unit conversion Duration LCM
162 P6.AN.NK.21060913
Level 3 PSLE
The figure is made up of 3 squares. Find ∠a.
3 m
Square Angles on a straight line Angles sum of triangle Exterior angles of a triangle
163 P6.SP.TL.18012268
Level 3
Bus X and Bus Y left the same bus station at uniform speeds in the same direction round a 48-km circular route. Bus X took 45 minutes to complete each round while Bus Y took 30 minutes.
  1. How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
  2. How far would Bus X be behind Bus Y after 12 hour?
3 m
DST triangle Average speed Same starting point Circular track Unit conversion Duration LCM
164 P6.SP.TL.18012269
Level 3
Helen and Jomarie started off from the same place and drove at uniform speeds in the same direction round a 40-km circular racing track. Helen completed each round in 40 minutes. Jomarie took 50 minutes to complete each round.
  1. How far would Jomarie be behind Helen after 1 hour?
  2. How long after they started would it take Helen to meet Jomarie for the first time?
3 m
DST triangle Average speed Same starting point Meeting point Distance apart Circular track Unit conversion Duration LCM
165 P6.AN.NK.21060932
Level 3 PSLE
ABCD is a trapezium with AB parallel to DC. AFB and EFC are straight lines and AE = EB. ∠EBC = 94°.
  1. Find ∠AFD.
  2. Find ∠BFE.
3 m
Angles sum of triangle Trapezium Exterior angle of a triangle Alternate angles
166 P6.AN.NK.17051717
Level 3
In the figure, ABE and DBC are right-angled triangles. EB is parallel to DC. Find
  1. ∠BCD
  2. ∠BED
3 m
Right-angled triangle Angles sum of triangle Angles at a point Alternate angles
167 P6.AP.TL.17090774
Level 3
The figure is made up of 7 identical rectangles.
  1. Find the perimeter of the figure.
  2. Find the shaded area.
3 m
Rectangle Triangle Fraction of a whole
168 P6.AG.JC.17080471
Level 3
The perimeter of triangle A is equal to that of rectangle B.
  1. Find the length of rectangle B in terms of k.
  2. If k = 3, find the area of rectangle B.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Triangle Equal stage
169 P6.AN.NK.17051755
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
Equilateral triangle Rhombus Angles sum of triangle Corresponding angles
170 P6.AN.NK.17051750
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
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Corresponding angles
171 P6.AP.JC.22051401
Level 2 PSLE
The figure shows a right-angled triangle, ABC, drawn on a grid.
  1. ABD is a right-angled triangle with the same area as triangle ABC. Identify point D on the grid.
  2. ADE is an equilateral triangle. Identify point E on the grid such that it does not overlap with triangle ABC.
  3. Find the ratio of the area of triangle ABC to the area of triangle ADE.
3 m
Equilateral triangle Isosceles triangle Right-angled triangle Grid dots Equal stage Finding ratio
172 P6.AN.NK.17051718
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
Isosceles triangle Parallelogram Interior angles
173 P6.AN.NK.17051739
Level 3
The figure is not drawn to scale. KL//NM and ML//PK. Triangles KPL and LMN are isosceles triangles. Find
  1. ∠a
  2. ∠b.
3 m
Isosceles triangle Angles sum of triangle Interior angles
174 P6.AP.TL.17090772
Level 3
The figure is made up of 16 square tiles. What fraction of the figure is shaded? Give the answer in the simplest form.
3 m
Square Triangle Tiling Fraction of a whole F Simplest form
175 P6.AN.NK.17051737
Level 3
The figure is not drawn to scale. It has three parallel lines and two isosceles triangles. ∠x and ∠y are in the ratio of 3 : 5 respectively. Find ∠x + ∠y + ∠z.
3 m
Isosceles triangle Angles on a straight line Interior angles Ratio to units Units method
176 P6.AN.NK.17051719
Level 3
In the figure, ABCD is a trapezium. AZB is an isosceles triangle with AZ = BZ. AY and BX are straight lines. Find ∠DAZ.
3 m
Isosceles triangle Trapezium Angles on a straight line Interior angles
177 P6.AN.NK.17051724
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
Isosceles triangle Parallelogram Angles sum of triangle Interior angles
178 P6.AN.NK.17051729
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
Isosceles triangle Rhombus Angles sum of triangle Interior angles
179 P6.AN.NK.17081701
Level 3 PSLE
In the figure, EFGH is a trapezium. P is a point on EH such that PG = GH. ∠EFG = 62° and ∠FEP = 110°. Find LPGF.
3 m
Isosceles triangle Trapezium Angles sum of triangle Interior angles
180 P6.PA.JC.21030801
TRY FOR FREE
Level 3
The figure is made up for triangles drawn up to Layer 3.
  1. How many triangles will there be if it is drawn up to Layer 7?
  2. If there is a total of 60 triangles, how many layers are there in the figure?
4 m
Attempt
Times sum of consecutive Triangle

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