Level 3
The figure is made up of 6 similar rectangles of length 20 cm. Find the area of the shaded parts.
3 m
Level 3
The diagrams show a rectangular cardboard X and a square Y.
Abel cut as many squares Y as he could from rectangular cardboard X.
The remaining part of the rectangular cardboard X is shown in Figure 1.
  1. What is the length of AB as shown in Figure 1?
  2. What is the greatest number of squares Y that Abe could cut from a rectangular cardboard X?
3 m
Level 3
The rectangular piece of wood shown in Figure 1 has a perimeter of 68 cm. Fatimah arranged 4 such rectangular pieces of wood to form a figure as shown in Figure 2.
  1. Find the length of the rectangular piece of wood.
  2. Find the shaded area in Figure 2.
3 m
Level 3
The average length of 5 pieces of ribbon was 120 cm. When 2 pieces of ribbons were used, the average length of the remaining pieces of ribbons became 114 cm. What was the average length of the 2 pieces of ribbons used?
4 m
Level 3
ABC is a right-angled triangle. 4 such identical triangles are used to form the Square WXYZ. Find the length of each side of the big Square WXYZ.
3 m
Level 3
Each of the figure is made up of 2-cm sticks. The table shows the total length of sticks used for each figure and the perimeter of each figure.
  1. Complete the table for Figure 4 (i).
  2. Complete the table for Figure 4 (ii).
  3. Which figure number will have a perimeter of 2604 cm?
5 m
Level 3
The figure shows a star formed by 5 identical isosceles triangles and a regular Pentagon CEGIK (which is a 5-sided polygon with equal sides). Given that O is the centre of the star, Length OS = 11 cm and KC = CE = EG = GI = IK = 12 cm, Find the area of the star.
3 m
Level 3 PSLE
Andy used 3-cm rods to build some structures. The first five structures are shown.

The table shows the number of rods used for each structure and the height of each structure.

  1. Find the value of a.
  2. Find the value of b.
  3. What was the height of Structure 119?
  4. How many rods were used to build Structure 119?
5 m
Level 2
Kelvinder jogged 523 km. Jamie jogged 34 km less. What was the total distance they jogged?
4 m
Level 2
Michelle has 59 m of ribbon. Ruth has 13 m of ribbon less than Michelle. Find the total length of the ribbon both girls have.
4 m
Level 2
Amanda needs 45 m of cloth to sew a skirt. She needs 6 m of cloth to sew 2 skirts and a dress. How much cloth will she need to sew one dress? (Give your answer in m.)
4 m
Level 3
A roll of wire can be bent to form a rectangle with designs within it of 3 cm width throughout (see given figure). The figure has a total area of 375 cm2. The breadth of the rectangle is 35 as long as its length. Find the area of the shaded parts.
3 m
Level 2
Wendy has a piece of ribbon. She cuts 9 short pieces, each measuring 0.78 m, from it and has 2 45 m of it left. What was the original length of the ribbon?
4 m
Level 3
Two rectangles of length 14 cm and breadth 10 cm, are placed one on top of the other to form a shape as shown. What is the area of the shape?
3 m
Level 3
The diagram shows 3 squares, the length of which are 1 cm, 2 cm and 3 cm respectively. Each square is made up of small squares which has a length of 1 cm and alternate squares are coloured grey and white.
  1. How many small grey squares are needed to create a square of side 11 cm?
  2. Find the length of the side of a square if 196 small grey and white squares are used to create it.
  3. Find the number of small white squares when a square of side 18 cm is created?
5 m
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
A piece of paper had a length of 15 cm and breadth of 10 cm. Four identical squares with sides 2 cm were cut out from the corners as shown.
  1. What was the area of the paper before it was cut?
  2. What was the area of the paper after the four corners were cut?
4 m
Level 2
Siti had 3 m of cloth. She used 34 m of the cloth to make a bag and 712 m of the cloth to make a pillow.
  1. How much cloth did she use to make the bag and the pillow? (Give your answer in its simplest form)
  2. What was the length of the cloth that Siti had left?
4 m
Level 3
The equilateral triangles are formed using 2 cm-sticks.
  1. How many sticks are needed to form pattern 5?
  2. In which pattern will each side of the triangle measure 32 cm?
  3. Calculate the number of shaded triangles in Pattern 100.
5 m
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.
  1. Find the total distance covered by the two runners when they met each other. Express the answer in km.
  2. Find the length of the trail in km.
4 m