Level 3
John wants to cover a floor measuring 80 cm by 100 cm with square tiles of the same size. Given that he uses only whole tiles, find
  1. the largest possible length of the side of each tile.
  2. the number of tiles that are needed to cover the floor.
4 m
Level 3
What is the shortest length which can be divided into 2 cm, 4 cm or 8 cm portions without any remainder?
4 m
Level 3
Alyson, Clara and Joyce were each given a piece of string of equal length. Alyson cut hers into equal lengths of 2 m, Clara cut hers into equal lengths of 3 m, and Joyce cut hers into equal lengths of 5 m. If there were no remainder in each case, find the shortest length of string given to each of them.
4 m
Level 3
The total length of 3 ribbons and 6 wires is 300 cm. The length of a wire is 13 of the length of the ribbon. What is the total length of the 6 wires?
4 m
Level 3
Tanya takes 6 minutes to jog 1 round on the track while Joel takes 9 minutes to jog 1 round. Both of them started jogging around the track in the same direction and at the same time. How long would it take for them to meet each other for the first time at the starting point?
4 m
Level 3
Red, blue and green cloths are sold in 40 cm, 70 cm and 100 cm long respectively. Ron wanted to buy equal length of each color. What is the least number of rolls of each color he must buy?
  1. Red cloth
  2. Blue cloth
  3. Green cloth
4 m
Level 3
2 rectangles A and B, not drawn to scale, overlap at x as shown. x is 18 of rectangle A and 16 of rectangle B. If the length of rectangle B is 9 cm and its breadth is 4 cm, what is the area of the unshaded part of figures A and B?
4 m
Level 3
Mr Smith planted 10 trees in a row for his garden. The distance between each tree and the next was equal for all the trees. The distance between the first tree and the fifth tree was 20 m, what was the distance between the 1st tree and the 8th tree?
4 m
Level 3
Ten potted plants are placed in a straight row at equal distance apart. The distance between the first and fourth potted plant is 6 m. What is the distance between the first and last potted plant?
4 m
Level 3
Some lanterns were hung in a row at equal distances. The distance between the 2nd and the 4th lantern was 8 m. What was the distance between the 1st and the 7th lantern?
4 m
Level 3
14 lamp posts are placed along a road at equal distances. The distance between the 5th and the 9th lamp post is 16 m.
  1. What is the distance between 2 lamp posts?
  2. What is the distance between the 1st and the last lamp post?
4 m
Level 3
The distance between the 1st bus stop and the 6th bus stop is 2100 m. Given that the distance between any 2 bus stops is the same, find the distance between the 2nd and the 4th bus stop.
4 m
Level 3
During a campaign, banners were put up along a road at equal distances from one another. The distance between the 2nd banner and 6th banner is 16 m. Find the distance between the 3rd banner and 10th banner.
4 m
Level 3
During a school anniversary celebration, pupils were required to line along one side of the corridor to welcome the Guest-Of-Honor from the foyer to the hall. They would stand at an equal distance apart. A pupil would stand at the beginning of the corridor and another pupil would stand at the end. The corridor was 50 m long. During the rehearsal, 26 pupils were asked to line one side of corridor, from the beginning to the end. On the actual day, 3 pupils were absent and 2 pupils were asked to serve drinks In the canteen instead. Those pupils who remained would have to spread themselves out to line the entire corridor, from the beginning to the end. Find the new distance between every 2 pupils.
4 m
Level 3
Lampposts were located at an equal distance of 6 m apart from one another, starting from the beginning of the road. Between every 2 lampposts, there were 2 shrubs, planted 2 m apart.
  1. What was the distance between the 1st shrub and the 4th shrub?
  2. What was the distance between the 4th shrub and the 10th shrub?
  3. Given that the stretch of road was 80 m, how many shrubs were there?
4 m
Level 3
Some lampposts were located at an equal distance of 6 m apart from one another, starting from the beginning of the road.
  1. What was the distance between the first lamppost and the 4th lamppost?
  2. What was the distance between the 4th lamppost and the 10th lamppost?
  3. Given that the stretch of road was 80 m, how many lampposts were there from the beginning to the end of the road?
4 m
Level 3
Maria had a ribbon of 150 cm long. She tied some balloons on the ribbon. Part of the ribbon and balloons were shown. Each balloon was 9 cm apart from one another.
  1. What is the length of the ribbon between the 2nd and the 10th balloon?
  2. Find the most number of balloons that could be tied on the 150 cm of ribbon with balloons at 9 cm apart from one another.
4 m
Level 3
During a school anniversary celebration, pupils were required to line along both sides of the corridor to welcome the Guest-Of-Honor from the foyer to the hall. On the left row, the girls would stand at an equal distance apart. On the right row, the boys would stand 2 m apart from each other. Both rows would have a girl and a boy standing at the beginning and at the end of the corridor. The corridor was 50 m long. If there were a total of 104 pupils, how many girls were there?
4 m
Level 2
During a school anniversary celebration, pupils were required to line along both sides of the corridor to welcome the Guest-Of-Honor from the foyer to the hall. On the left row, the girls would stand 1 m apart from each other at an equal distance apart. On the right row, the boys would stand 2 m apart from each other. Both rows would have a girl and a boy standing at the beginning and at the end of the corridor. The corridor was 50 m long. How many pupils were required to line both sides of the corridor?
4 m
Level 3
34 of a ribbon was used to tie a box. 7 cm was used for the ribbon knot.
  1. Find the length of the ribbon used.
  2. What was the original length of the ribbon?
4 m