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
Level 3
Squares of sides 2 cm are arranged to create a pattern as shown.
  1. Find the number of squares needed for Figure 20.
  2. Find the area of Figure 10.
  3. Find the perimeter of Figure 40.
5 m
Level 3
Some poles are placed along the perimeter of a rectangular court measuring 15 m by 12 m. The poles are placed equally apart. If the distance between each pole is 3 m, find the total number of poles used.
3 m
Level 3
Trees were planted along each side of a square garden so that an equal number of trees are found along each side of the garden. If 40 trees were planted, how many trees were there along each side of the garden?
4 m
Level 3
Trees were planted along each side of a triangle shaped garden so that an equal number of trees were found along each side of the garden. If there were 78 trees used, how many trees were there along each side of the garden?
4 m
Level 3
A square garden has a side of 40 m. An equal number of trees were planted on each side of the square. Each tree is 8 m away from the next tree. One tree was already planted at points A, B, C and D of the square respectively. How many more trees must be planted?
3 m
Level 3
5 poles are placed along the breadth of a rectangular field. The space between 2 poles is 50 m. If 10 poles are placed along the length of the rectangular field in the similar way, what is the perimeter of the rectangle? Give the answer in meters.
3 m
Level 3
12 similar strips of paper were glued to form a new long strip of paper of length 135 cm. The first and second strip were glued together to form an overlapped length of 3 cm as shown. This was consistent for the rest of the remaining strips of paper. Find the length of each original strip of paper.
4 m
Level 3
Mr Ong wanted to place pots of sunflowers at equal distance apart from each other along the perimeter of his square garden. He placed a flower pot at each corner and an equal number of flower pots along each side of the square garden. He had 79 pots of flowers to use.
  1. What was the maximum number of flower pots Mr Ong could use to place along the perimeter of the square garden?
  2. How many flower pots would there be along each side of the square garden including the flower pots at the 2 corners?
4 m
Level 3
Karen tied some ribbons along a rope in a row at equal distance apart. The distance between the first and the fifth ribbon was 8 m. The first ribbon and the last ribbon were tied 3 m away from each end of the rope. What was the length of the rope if she had tied 30 ribbons on it?
5 m
Level 3
Jaslyn placed 25 pins in a row from one to the other end of a bulletin board at equal distance apart as shown in the diagram. The distance between the first and last pin was 96 cm.
  1. What was the distance between the first and eighth pin?
  2. Jaslyn decided to remove 8 pins and rearrange the remaining pins at a new equal spacing. What was the new distance of each spacing?
5 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