Level 3
The figure is not drawn to scale. It is formed by quadrants and semicircles of two sizes. The radius of the larger quadrant is 3 cm longer than the radius of the smaller quadrant. The radius of the smaller quadrant (Line B) is 12 cm.
  1. Find the area of the shaded part.
  2. Find the perimeter of the dotted line. (Take π = 3.14)
4 m
Level 3 PSLE
Wendy spent 16 of her money on a dress and 3 belts. The dress cost 2 times as much as each belt. Wendy spent 34 of her remaining money on a watch. She spent $160.65 more on the watch than on the 3 belts.
  1. What fraction of Wendy's money was spent on each belt?
  2. How much money did Wendy have at first?
5 m
Level 3
There were some pupils in a museum. 13 of the pupils lined up in 16 short rows and 12 of the pupils lined up in 6 long rows. The remaining pupils did not line up. There are 12 more pupils in each long row than each short row.
  1. What fraction of the pupils did not line up?
  2. How many pupils lined up?
5 m
Level 3
At 08 00, Ali left Town P and cycled towards Town Q. Grace left Town P and cycled towards Town Q at 08 30. Grace's cycling speed was 2 km/h faster than Ali. At 12 00, Grace caught up with Ali. Find the cycling speed of each cyclist.
  1. Ali
  2. Grace
5 m
Level 3
Henry and Peter had $690. Henry spent 49 of his money on a television. Peter spent 14 of his money on a stereo system. The television cost $140 more than the stereo system. How much money had Henry left?
5 m
Level 3
City X and City Y are 420 km apart. At 3.45 p.m., Joni is travelling at a uniform speed left City X for City Y while Ben set off from City Y to City X along the same road at a uniform speed, which was 12 km/h slower than that of Joni. The two met at 6.45 p.m.
  1. Find the speed of Joni.
  2. If Ben continued to travel at the same speed, how long would it take for him to reach his destination after the two met? Express the answer in mixed number.
5 m
Level 3
Raju and Shian left Town A for Town B at the same time. When Raju reached Town B in 4 hours, Shian had only completed 38 of the distance between the two towns. Shian's speed was 30 km/h slower than Raju. What was Raju's speed?
5 m
Level 3
Nick spent $716 on jackets and cardigans. The number of cardigans he bought was 12 the number of jackets he bought. The cost of a cardigan was $11 more than the cost of a jacket. He paid $180 more on jackets than on cardigans. Find the cost of 8 jackets and 5 cardigans.
5 m
Level 3
A shop owner paid a total of $520 for some shirts and some blouses. He paid $200 less for the shirts than the blouses. Each blouse cost $4 more than each shirt. The number of shirts he bought was 23 of the number of blouses bought.
  1. How much did he pay for all the shirts?
  2. How many shirts did he buy?
5 m
Level 3 PSLE
Peiyi and Jamal bought storybooks at the prices shown.
  1. Peiyi bought an equal number of large and small storybooks. She spent $175 more on the large ones. How many storybooks did she buy altogether?
  2. Jamal spent an equal amount of money on the large and small storybooks. What fraction of the storybooks he bought were large?
5 m