371 P4.PA.NK.23042605
Level 3
The patterns are made up of identical shaded and identical unshaded squares.

  1. Find the total number of squares in Pattern 4.
  2. Find the number of unshaded squares in Pattern 4.
  3. Which Pattern Number has a total of 100 squares?
4 m
Square numbers
372 P4.PA.JM.17092427
Level 3
Study the pattern. Each figure is made up of identical squares.
  1. What fraction of Figure 1 is shaded? Express your answer in the simplest form.
  2. What is the number of shaded squares in Figure 4?
  3. What is the number of unshaded squares in Figure 8?
4 m
Equal intervals Square numbers Fraction of a whole
373 P4.AP.JM.17100167
Level 3
The square on the right has the same perimeter as the rectangle on the left. Find the area of the square.
3 m
Square Rectangle Equal stage
374 P5.VO.NK.23012644
Level 3
A tank with a square base of 10 cm was 13 filled with water After another 4500 cm3 of water was poured into the tank, it became 34 full.
  1. Find the capacity of the tank in litres.
  2. Find the final height of the water in the tank.
3 m
Base area x height Filling tank Unit conversion Fraction of a whole F Addition & subtraction Units method
375 P4.AP.JM.17100184
Level 3
Figure A is a square with a perimeter of 56 cm. Figure B is a rectangle with breadth of 7 cm. Given that both figures have the same area, find the perimeter of Figure B.
3 m
Square Rectangle Equal stage
376 P6.AN.NK.17051730
Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
  1. ∠BAQ
  2. ∠DCQ
.
3 m
Right angle Square Isosceles triangle
377 P4.AP.JM.17100191
Level 3
The same amount of paint can be used to paint either a square (Figure A) or a rectangle (Figure B). Figure A has a perimeter of 64 cm while Figure B has a breadth of 8 cm. Find the perimeter of Figure B.
3 m
Square Rectangle Equal stage
378 P4.AP.JM.17100185
Level 3
The figure is made up of a square and a rectangle. The side of the square is 9 cm. The perimeter of the figure is 108 cm. What is the length of the rectangle?
3 m
Length Square Rectangle Rectilinear figure
379 P6.AN.NK.17052302
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
380 P6.AN.NK.17052307
Level 3
In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.
3 m
Square Equilateral triangle Isosceles triangle

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