Questions

From Worst to Best

331 P4.AN.JM.17092862

Level 3
The figure shows a rectangle ABCD. ∠BAC = 35° and ∠DAE = 36°. Find

∠CAE
∠AEC

3 m

Attempt

332 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

Attempt

Square Rectangle Triangle

333 P6.SP.TL.18012255

Level 3
Fay cycled from View Hill at 09 56 toward Sand Garden while Joy cycled from Sand Garden toward View Hill at the same time. At 10 06, the two cyclists passed each other. 7 minutes later, Fay reached Sand Garden but Joy was 1155 m from View Hill.

At what speed were the two cyclists approaching each other?
Find the distance between Sand Garden and View Hill Park in km.

3 m

Attempt

DST triangle Average speed Different starting point Same starting time Meeting point Distance apart Common time Unit conversion

334 P6.AN.NK.17081612

Level 2 PSLE
In the figure, LMNP is a rectangle and PON is a straight line. ∠LPM = 28° and ∠MON = 80° , find ∠PMO.

2 m

Video Attempt

Rectangle Angles on a straight line Angles sum of triangle

335 P4.AN.JM.17092850

Level 3
The figure shows a square ABEF and a rectangle BCDE. ∠CFE = 38°.

Find ∠BHF.
Find ∠AGC.

3 m

Attempt

Square Rectangle Vertically opposite angles Angles sum of triangle Exterior angle of a triangle

336 P5.RA.JC.17083299

Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm² more than the area of the rectangle, find the width of the shaded rectangle that is being removed.

4 m

Attempt

Ratio to units Area Perimeter More than or less than Unchanged difference Units table

337 P6.SP.TL.18012254

Level 3
A black bus left Town A for Town B at the same time when a white bus left Town B to Town A. The average speed of the black bus and the white bus were 56 km/h and 72 km/h respectively. The two buses passed each other at a point 24 km from the midway of the two towns. How far apart are these two towns?

3 m

Video Attempt

DST triangle Different speed Different starting point Same starting time Meeting point Common time

338 P6.AN.NK.17051710

Level 3
In the figure that is not drawn to scale, ABC is a straight line and BDE is an isosceles triangle. Find ∠x.

3 m

Attempt

Isosceles triangle Angles on a straight line Angles sum of triangle

339 P6.SP.TL.18012239

Level 3 PSLE
Esther and Margi took part in a cycling race. Esther cycled at a speed of 20 km/h. Both of them did not change their speed throughout the race. When Margi covered ¹₂ the distance, Esther was 3.5 km in front of her. Esther reached the finishing line at 10.45 a.m. What time did Margi reach the finishing line?

3 m

Attempt

DST triangle Different speed Same starting point Same starting time Common time Unit conversion Duration Timeline

340 P6.AN.NK.17051715

Level 3
In the figure, ABCD is a parallelogram and CEF is an isosceles triangle. BEDF is a straight line. ∠BAD = 100°, ∠CDE = 56° and ∠DCF = 14°. Find ∠BCE.