401 P5.AP.JM.17083230
Level 3
The figure shows a rectangle in a square. The square is of side 15 cm. What is the area of the rectangle?
3 m
Square Rectangle Triangle
402 P4.AN.JM.17092850
Level 3
The figure shows a square ABEF and a rectangle BCDE. ∠CFE = 38°.
  1. Find ∠BHF.
  2. Find ∠AGC.
3 m
Square Rectangle Vertically opposite angles Angles sum of triangle Exterior angle of a triangle
403 P3.AP.JM.17102323
Level 3
Look at the diagram. The figure is made up of two squares, A and B.
  1. Find the area of square B.
  2. Find the perimeter of the figure.
3 m
Square Rectilinear figure Composite figure perimeter Composite figure area
404 P3.AP.JM.17102318
Level 3
What is the area of the living room not covered by the square mat?
3 m
Square Rectangle Rectilinear figure Composite figure area
405 P4.AP.JM.17100145
Level 3
ABCD is a square made up of 2 squares and 2 rectangles. The squares have an area of 49 cm2 and 16 cm2 respectively. Find the area of ABCD.
3 m
Square Square & square root Rectangle Rectilinear figure
406 P5.PA.NK.23053002
Level 3
James formed some figures using squares and circles as shown
  1. Find the number of squares in Figure 6.
  2. Find the total number of circles and squares in Figure 10.
  3. A figure in the pattern has a total of 6481 circles and squares. What is the Figure Number?
4 m
Equal intervals Times sum of consecutive Guess & check Square Circle
407 P6.AN.NK.17081801
Level 3 PSLE
In the figure, QRST is a square and QPT is an equilateral triangle. Given that USV is 12°, find ∠QSU.
3 m
Right angle Square Equilateral triangle Isosceles triangle Angles sum of triangle
408 P6.AP.TL.17090803
Level 3
In the figure, the unshaded rectangle WXYZ has a perimeter of 20 cm. A square is constructed on each of its sides. If the total area of the squares is 80 cm2, find the area of the unshaded rectangle.
3 m
Square Rectangle Rectilinear figure Composite figure area
409 P4.AP.JM.17100236
Level 3
Figure A is a square with an area of 49 cm2. Figure B is a rectangle with breadth of 2 cm. Given that both figures have the same perimeter, find the area of Figure B.
3 m
Square Square & square root Rectangle Equal stage
410 P3.AP.JM.17102331
Level 3
What is the total area of the shaded parts in the figure?
3 m
Square Triangle Composite figure area Cut & paste
411 P6.AN.NK.17052303
Level 3
In the figure, not drawn to scale, JKLM is a square. PKL is an equilateral triangle. What is ∠PQN?
3 m
Right angle Square Equilateral triangle Vertically opposite angles Angles sum of triangle
412 P6.AP.TL.17090771
Level 3
Rectangle WXYZ is made up of an unshaded rectangle, an unshaded square and two shaded rectangles. The area of the square is 25 cm2 and the perimeter of the unshaded rectangle is 78 cm. What is the total area of the 2 shaded rectangles?
3 m
Length Square Square & square root Rectangle Rectilinear figure Composite figure area
413 P4.AP.JM.17100243
Level 3
A roll of wire can be bent to form either a rectangle (Figure A) or a square (Figure B). The breadth of the rectangle is 35 as long as its length. Given that Figure A has an area of 375 cm2, find the perimeter of Figure B.
3 m
Square Square & square root Rectangle Fraction to units Units method
414 P4.AN.JM.17092867
Level 3
The figure is made up of a square ABCD and a rectangle CEFG. ∠DCG is 75°. Find the sum of ∠BCG and ∠BAD.
3 m
Right angle Square Rectangle Overlapping angles
415 P6.PA.JM.18011219
Level 3
Study the number pattern carefully.
  1. What is the missing number in the 5th pattern?
  2. What is the missing number in the 32th pattern?
  3. If this number pattern goes on, which pattern number will give you 445?
4 m
Square numbers
416 P4.AN.JM.17092868
Level 3
In the figure, TUVW is a square and WXYZ is a rectangle. ∠TWU = 45° and ∠VWZ = 74°. Find ∠k.
3 m
Right angle Square Rectangle Overlapping angles
417 P3.AP.JM.17102374
Level 3
The figure shows 2 identical squares. The area of each square is 36 cm2. What is the perimeter of the figure?
3 m
Square Square & square root Rectilinear figure Composite figure perimeter
418 P6.PA.JM.18011220
Level 3
May added a certain number of white squares round a grey square and then a certain number of grey squares round the white squares and she continued adding more grey and white squares round the diagram in each pattern as shown.
  1. How many grey squares did she need if the most outer layer had 11 squares on each side?
  2. How many squares are there in the Figure 11?
4 m
Square numbers
419 P4.AP.JM.17100234
Level 3
The rectangle and square have the same area. The length of the rectangle is 4 times its breadth. What is the length of one side of the square?
3 m
Length Square Rectangle Square & square root Equal stage
420 P6.PA.JC.17111323
Level 3
A pattern is made by putting shaded squares of unit length around a white square of similar unit length. He then continues to make patterns as shown in Figure 2 and Figure 3.
  1. Which figure uses 100 white squares?
  2. Find the number of shaded squares in Figure 30.
  3. Find the total number of squares in Figure 60.
4 m
Equal intervals Square numbers

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