Questions

From Worst to Best

211 P6.SP.TL.18012272

Level 3
Uncle Lim travelled from City A to City B which was 560 km away. For the first 480 km of the journey, he travelled at a speed of 80 km/h. He then reduced his speed by 40 km/h and completed the rest of the journey. What was his average speed for the whole journey?

4 m

Attempt

212 P6.SP.TL.18012273

Level 3
At 9.45 a.m., Mark started driving from Town X to Town Y which was 440 km away. For the first 220 km, he travelled at an average speed of 80 km/h. He then decreased his speed by 20 km/h and completed the remaining journey.

Find the total time taken for the whole journey. Express the answer in mixed number.
At what time did she reach Town Y?

4 m

Attempt

DST triangle Average speed Journey by parts Different speed Duration Start end time More than or less than

213 P6.SP.TL.18012274

Level 3
A car was on its way from Town X to Town Y. After covering ²₅ of its journey, it passed a van which was travelling at an average speed of 70 km/h. 5 hours later, the car reached its destination, but the van was still 28 km from Town Y. If the car had also started from Town X, how long would it take to travel from Town X to Town Y? Express the answer in mixed number.

4 m

Attempt

DST triangle Average speed Different speed Same starting point Duration Fraction of a whole

214 P6.SP.TL.18012276

Level 3
At 10 30 , Aaron left Town A for Town B, driving at a speed of 75 km/h. At 11 30 , Tom also left Town A for Town B driving at a certain speed. Both of them did not change their speed throughout the journey. At 14 30, both of them passed a shopping mall that was 150 km away from Town B. How many minutes earlier did Tom reach Town B than Aaron?

4 m

Attempt

DST triangle Average speed Same starting point Different starting time Duration More than or less than

215 P6.AP.TL.17090777

Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?

3 m

Attempt

Length Equilateral triangle Intervals

216 P6.SP.TL.18012277

Level 3
At 5.30 p.m., Bella and Brent left Hotel A for Hotel B at average speeds of 72 km/h and 50 km/h respectively. Upon reaching Hotel B, Bella rested for 20 minutes. She then headed back for Hotel A at an average speed of 72 km/h along the same route. Brent and Bella met each other on their way at 9 p.m.

How much more distance had Bella covered than Brent when they met on their way?
How far apart were Hotel A and Hotel B? Express the answer in mixed number.

4 m

Attempt

DST triangle Average speed Different speed Same starting point Same starting time Meeting point Unit conversion Duration More than or less than

217 P6.PA.JM.18011232

Level 3
The equilateral triangles are formed using 2 cm-sticks.

How many sticks are needed to form pattern 5?
In which pattern will each side of the triangle measure 32 cm?
Calculate the number of shaded triangles in Pattern 100.

5 m

Attempt

Sum of consecutive Area perimeter Length Triangle

218 P6.PA.JM.18011234

Level 3
1-cm square tiles and triangular tiles were used to make some figures. The area of each triangular tile was half that of a square tile. The first four figures are shown.

Find the area of Figure 5.
How many squares were used to make a figure with an area of 180.5 cm²?

5 m

Attempt

Repeated patterns Square numbers Sum of consecutive Area perimeter Square Triangle

219 P6.SP.TL.18012278

Level 3
May started jogging from home to park at a speed of 300m/min at 6 a.m. Her brother started jogging from home later. They were beside each other at 6.30 a.m. and her brother reached park at 7 a.m. while May was still 1800 m away. If both of them travelled at a constant speed throughout the journey, what time did her brother leave home?

4 m

Attempt

DST triangle Average speed Same starting point Different starting time Distance apart Start end time

220 P6.SP.TL.18012281

Level 3
At 8 a.m., Shaira and Joana raced off together from the starting point of a trail. Shaira ran at an average speed of 3 m/s. Joana ran at an average speed of 4 m/s. Upon reaching the end of the trail, Joana rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 8.40 a.m., Shaira met Joana.