181 P6.RA.TL.17042602
Level 3
The figure, not drawn to scale, on the right shows 2 rectangles overlapping each other. The ratio of the shaded area to the area of Rectangle X is 4 : 9. The ratio of the shaded area to the area of Rectangle Y is 3 : 6. Find the ratio of the unshaded area to the total area of the figure.
3 m
Finding ratio LCM Area perimeter Rectangle Overlapping area Unchanged difference Units method
182 P5.AP.JM.17083202
Level 2
Figure A shows a rectangular sheet of paper. Nellie cut it into 22 identical triangles one of which is shown in Figure B. There was no paper left over. What was The area of the rectangular sheet of paper before it was cut?
2 m
Rectangle Triangle Tiling Composite figure area
183 P5.AP.JM.17083206
Level 2
The figure, not drawn to scale, is made up of Square A and Rectangle B. The area of Square A is 49 cm2. The length of Square A is the same as the breadth of Rectangle B. If the length of the Rectangle B is 26 cm, what is the total area of Figure A and B?
2 m
Square Rectangle Rectilinear figure Composite figure area
184 P5.AP.JM.17083215
Level 2
The figure, not drawn to scale, consists of a large square and 3 identical small squares. The side of the large square is twice the side of the small square. If The area of the small square is 4 cm2. Find the area of the figure.
2 m
Square Rectangle Rectilinear figure Composite figure area Times as many
185 P5.AP.JM.17083198
Level 2
In the figure, ABCD is a rectangle. AE = EF = FG = GH = HB. What is the area of the shaded part?
2 m
Rectangle Triangle Triangle common height Composite figure area
186 P6.AP.TL.17090711
Level 1
The figure is made up of a rectangle and a semi-circle. The diameter of the circle is 80 cm. Find the area of the shaded part. (Take π = 3.14)
2 m
Rectangle Circle area Semicircle Quarter circle Cut & paste
187 P6.AP.TL.17090755
Level 2
The figure shows a circle with parts of its region shaded. O is the centre of the circle. Line A is 14.3 cm and Line B is 15.8 cm. Find the difference between the shaded and unshaded areas.
2 m
Rectangle Circle Cut & paste
188 P5.AP.JM.17083238
Level 2
The figure is made up of two identical rectangles ABCD and BCEF. The area of Triangle ACE is 12 the area of Rectangle ______.
2 m
Rectangle Triangle Cut & paste Fraction of a whole
189 P5.AP.JM.17083242
Level 2
The figure shown is cut from a piece of paper. ABCD is a square and EFGH is a rectangle. Find the area of the figure.
2 m
Square Rectangle Composite figure area Overlapping area
190 P6.AP.NK.21060430
Level 3 PSLE
Two rectangular mats, each 6 m by 4 m, are place on the floor of a rectangular room as shown. The mats overlap. The area of the floor covered by the overlap is 5.6 cm2. Find the area of the floor not covered by the mats.
2 m
Rectangle Overlapping area
191 P6.AG.JC.15051409
Level 2 PSLE
Jasmine had a piece of ribbon 17p cm long. She formed a triangle, with sides measuring p cm, 5p cm and 30 cm, with part of the wire.
  1. Express the length of the remaining ribbon in terms of p in the simplest form.
  2. Jasmine used the remaining ribbon to form a rectangle of length 3p cm. If p = 8, what was the breadth of the rectangle?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area perimeter Rectangle
192 P5.FR.NK.23010311
Level 2
Rectangle A and Rectangle B overlap each other. Given that 16 of Rectangle A is shaded while 14 of Rectangle B is shaded, what fraction of the figure is not shaded?
2 m
Fraction of a whole F Addition & subtraction Common numerator
193 P6.AP.TL.17090785
Level 3
Two identical right-angled triangles overlap each other as shown. Find the area of the shaded part.
2 m
Rectangle Right-angled triangle Overlapping area
194 P5.AN.JM.17083246
Level 2
The figure shows 3 rectangles. What is the value of ∠f?
2 m
Right angle Rectangle Overlapping angles
195 P5.AN.NK.23041253
Level 3
Ben folded a rectangular piece of paper ABCD along its diagonal AC. Find ∠ACD.
2 m
Rectangle Triangle Right angle Angles on a straight line Overlapping angles Folded figure
196 P5.VO.NK.23012637
Level 3
A cuboid has a volume of 300 cm3. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.
3 m
Volume of cuboid Base area x height Area Perimeter Ratio to units Units method
197 P5.RD.JC.17083120
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
4 m
Fraction of a whole Finding ratio R Simplest form Area perimeter Overlapping area Repeated identity Units method
198 P6.AG.JC.23030112
Level 3 PSLE
The figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
  1. Find the length of AE in terms of w. Give your answer in the simplest form.
  2. Find the total area of the figure when w = 16.
3 m
Algebra in 1 variable Algebra substitution Length Area perimeter Rectangle Isosceles triangle
199 P5.RA.JM.17083113
Level 3
The figure shows a rectangular piece of paper. It is cut into 3 parts, X, Y and Z. Find the ratio of the area of the rectangular piece of paper to the area of Y. Leave your answer in the simplest form.
4 m
Finding ratio R Simplest form Area Perimeter Rectangle
200 P4.AP.JM.17100181
Level 3
Find the difference in perimeter between the 2 rectangles.
3 m
Rectangle

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