201 P5.RA.JM.17083127
Level 3
The figure, not drawn to scale, is made up of 3 equilateral triangles and 3 squares. Find the ratio of the length AB to the length CD to the length EF. (Express your answer in its simplest form).
3 m
Finding ratio R Simplest form Area Perimeter Square & square root Equilateral triangle
202 P4.AP.JM.17100158
Level 2
Every square in the figure is of side 1 cm. What is the area of the figure?
2 m
Square Triangle Composite figure area
203 P6.AP.TL.17090738
Level 2 PSLE
The shaded figure is formed using 3 squares and 3 equilateral triangles. The length of the straight line PQ is 15 cm. Find the perimeter of the shaded figure.
2 m
Square Equilateral triangle Composite figure perimeter
204 P4.AP.JM.17100156
Level 2
Find the area of the shaded part of the following figure.
2 m
Rectangle Triangle Composite figure area
205 P6.RA.TL.17042609
Level 3
The figure is made up of two squares and a triangle. The ratio of the area of Triangle X to that of Square Z is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle X and Square Y is 464 cm2, what is the area of Square Z?
3 m
Ratio to units Area Perimeter Unchanged total Units table
206 P6.AN.NK.17052202
Level 2
A square piece of paper is folded as shown in the figure.
  1. Find ∠ADE.
  2. Find ∠EDC.
2 m
Square Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
207 P5.AN.JM.17083220
Level 1
In the figure, ABC is an equilateral triangle and ∠BCD = 80°. Find ∠z.
2 m
Equilateral triangle Angles at a point
208 P4.AP.JM.17100157
Level 2
Find the area of the figure.
2 m
Rectangle Triangle Composite figure area
209 P6.AN.JC.17050719
Level 2
The figure shows a rectangular piece of paper folded at corner C. Find ∠BAC.
2 m
Folded figure Angles on a straight line Right angle Angles sum of triangle Overlapping angles
210 P5.AN.JM.17083120
Level 1
The figure shows an equilateral triangle. What is the value of ∠p?
2 m
Equilateral triangle Angles at a point
211 P6.AN.NK.17052205
Level 2
An equilateral triangle, XYZ, is folded as shown in the figure. Find
  1. ∠BAZ
  2. ∠YBZ.
2 m
Equilateral triangle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
212 P6.AP.TL.17090736
Level 2
The figure is made up of a semicircle and an equilateral triangle. The diameter is 42 cm. Find its perimeter.
2 m
Equilateral triangle Circumference Semicircle Composite figure perimeter
213 P5.AN.JM.17083116
Level 2
In the figure, ABC is a triangle. AD = DC, ∠BDC = 118°. Find ∠q.
2 m
Isosceles triangle Angles at a point
214 P6.PA.JM.18011213
Level 3
Study the pattern.
  1. Complete the table.
  2. How many dots are there on each side of the triangle if the total number of dots on the triangle is 102?
3 m
Equal intervals
215 P5.PA.JM.17083157
Level 3
What is the difference in the number of squares and triangles in Pattern 45?
3 m
Equal intervals Square Triangle
216 P5.AN.NK.23041249
Level 2
The figure is made up of ten identical isosceles triangles. O is the centre of the figure. Find ∠OJK.
2 m
Isosceles triangle Angles at a point
217 P6.AN.JC.23030117
Level 2 PSLE
A rectangular piece of paper is folded to form a trapezium ABCD. The two shaded triangles are identical. Find ∠x.
2 m
Right angle Rectangle Trapezium Angles on a straight line Angles sum of triangle Angles at a point Overlapping angles Folded figure
218 P6.AP.TL.17090744
Level 2 PSLE
Anna has a square piece of paper FGHJ of side 21 cm. She cut along the dotted lines shown in Figure 1 to get one small square of area 9 cm2 and 8 identical right-angled triangles. Triangle KLM in Figure 2 is one such triangle. Find the length of KM.
2 m
Length Square Square & square root Right-angled triangle Composite figure area
219 P6.AN.NK.17050212
Level 2
In the figure, not drawn to scale, O and C are the centres of the circles. AC is a straight line. Find ∠z.
2 m
Circle Exterior angle of a triangle Sum of angles in a quadrilateral
220 P5.AP.JM.17083217
Level 2
The figure shows a rectangle and two triangles. Find the shaded area.
2 m
Rectangle Triangle Triangle common height Composite figure area

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