391 P4.AN.JM.17092854
Level 3
The figure shows 2 squares ABCD and BECF. ∠GCF is twice as large as ∠GCB.
  1. Name the line that is parallel to AC.
  2. Find ∠FGC.
3 m
Square Angles sum of triangle Model Times-as-many Units method
392 P5.PA.NK.23010307
Level 3
The following pattern is made up of shaded and unshaded squares.
  1. Find the values of (i), (ii) and (iii). Give your answers in the following format. (Eg 1, 2, 3)
  2. Find the number of unshaded squares for Figure 30.
  3. Find the number of shaded squares for Figure 30.
4 m
Repeated patterns Square numbers Odd & even
393 P5.AP.JM.17083106
Level 3
Sally had a piece of wire 8 m long. She cut 8 pieces each measuring 12 m long from the original piece. The remainder was used to form a square. Find the area of the square.
3 m
Square Fraction of a whole
394 P4.AP.JM.17100182
Level 2
The rectangle and the square have the same perimeter. Find the length of the rectangle.
3 m
Square Rectangle Length
395 P3.AP.JM.17102372
Level 3
The figure is made up of a triangle and a square. The perimeter of the triangle is 16 m. Find the perimeter of the figure.
3 m
Square Triangle Composite figure perimeter
396 P5.VO.JM.17083171
Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
3 m
Volume Base area x height Height of cuboid Volume transfer
397 P5.AP.JM.17083117
Level 3
The figure shows a garden in the school with two ponds beside each other. The koi pond is a square pond with an area of 64 m2 . The area of the rectangular turtle pond is 34 of the area of the koi pond. The length of the grass patch is twice the breadth of the grass patch.
  1. What is the breadth of the turtle pond?
  2. What is length of the grass patch?
3 m
Square Rectangle Fraction to units Times as many
398 P4.AP.JM.17100114
Level 2
The figure is made up of two squares X and Y. The length of square X is equal to AO, and AO = OB. If the area of the shaded region is 9 cm2, find the length of square Y.
3 m
Length Square Square & square root Equal stage
399 P5.PA.NK.23053003
Level 3
The following is made up of identical triangles. Study the pattern carefully.
  1. Complete the table for Figure 4.
  2. A figure number in the pattern has a total of 144 triangles. What is the figure number?
4 m
Square Numbers Sum of consecutive Triangle
400 P6.AP.TL.17090768
Level 3
The perimeter of the figure formed by 3 squares, A, B and C, is 54 cm. The length of Square C is 12 the length of Square B. The length of Square A is twice the length of Square B. Find the area of Square A.
3 m
Length Square Fraction to units Times as many Units method

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