451 P4.AN.JM.17092851
Level 3
The figure shows a square ABCD. ∠BAE = 27°.
  1. Name the line of symmetry for the square ABCD.
  2. Find ∠AEC.
4 m
Square Angles sum of triangle Symmetry
452 P5.AP.JM.17083237
Level 3
The figure shows a star formed by 5 identical isosceles triangles and a regular Pentagon CEGIK (which is a 5-sided polygon with equal sides). Given that O is the centre of the star, Length OS = 11 cm and KC = CE = EG = GI = IK = 12 cm, Find the area of the star.
3 m
Isosceles triangle Composite figure area
453 P6.PA.JM.18011216
Level 3
Study the patterns.
  1. Find the total number of triangles in Figure 30.
  2. Express the biggest triangle as a percentage of the total possible number of triangles in Figure 30. Correct your answer to 2 decimal places.
5 m
Equal intervals D Place values D Round off Finding percent
454 P5.AP.JM.17083203
Level 3
The shaded figure is made up of 3 identical squares of side 10 cm and a triangle with a height of 36 cm. What is the area of the figure?
3 m
Square Triangle Composite figure area
455 P4.AN.JM.17092852
Level 3
The figure shows a square PQRS. ∠QST is 21° larger than ∠RST.
  1. Name the line of symmetry for the square PQRS.
  2. Find ∠QST.
  3. Find ∠QTS.
4 m
Square Angles sum of triangle Symmetry Model Comparison Units method
456 P5.AP.JM.17083200
Level 3
The figure shows two identical right-angled triangles overlapping each other. Find the area of the shaded part.
3 m
Right-angled triangle Overlapping area
457 P4.AN.JM.17092853
Level 3
The figure shows a square JKLM. ∠LJN is twice as large as angle MJN.
  1. Name the line of symmetry tor the square JKLM.
  2. Find ∠LJN.
  3. Find ∠JNM.
4 m
Square Angles sum of triangle Symmetry Model Times-as-many Units method
458 P6.SP.TL.18012271
Level 3
Willy drove from Town A to Town B which was 312 km away. He started from Town A at an average speed of 76 km/h. He maintained this speed for 2 h before increasing it by 4 km/h for the rest of the journey to Town B.
  1. How long did he take to complete the whole journey?
  2. What was his average speed from Town A to Town B?
4 m
DST triangle Average speed Journey by parts Different speed Duration More than or less than
459 P6.PA.JM.18011231
Level 3
The figure is made of identical triangles.
  1. Complete the table for layers 5 and 10.
  2. If each small triangle has a height of 4 cm and a perpendicular base of 3 cm. Find the area of all the triangles at the 29th layer.
5 m
Repeated patterns Area Perimeter Triangle
460 P6.SP.TL.18012272
Level 3
Uncle Lim travelled from City A to City B which was 560 km away. For the first 480 km of the journey, he travelled at a speed of 80 km/h. He then reduced his speed by 40 km/h and completed the rest of the journey. What was his average speed for the whole journey?
4 m
DST triangle Average speed Journey by parts Different speed Duration More than or less than

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