Level 3 PSLE
Zane uses toothpicks to form figures that follow a pattern. The first four figures are shown.
  1. The table shows the number of toothpicks used for each figure. Complete the table for Figure 5 and Figure 6. Give your answers in numbers. (Eg 1, 2)
  2. What is the difference in the number of toothpicks Zane would use for Figure 11 and Figure 13?
  3. How many toothpicks would he use for Figure 50?
4 m
Level 3
Study the image. Find the missing number.
4 m
Level 3
The diagram shows the first three figures in a sequence of squares with shaded patterns. For each figure, a mathematical pattern is expressed as the following.

Figure 1: 1 + 3 = 4 = 2 x 2 total squares
Figure 2: 1 + 3 + 5 = 9 = 3 x 3 total squares
Figure 3: 1 + 3 + 5 + 7 = 16 = 4 x 4 total squares
  1. How many white squares are there in Figure 6?
  2. How many white squares are there in Figure 10?
  3. Find the sum of 1 + 3 + 5 + 7 + ... + 39.
4 m
Level 1
Use all the digits 9, 7, 2 to form the smallest three-digit odd number.
2 m
Level 1
Use all the digits 9, 7, 2 to form the biggest three-digit even number.
2 m
Level 1
Which is the smallest odd number?
  1. 457
  2. 254
  3. 369
2 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
When two of the numbers are multiplied, the product cannot be divided by 2 exactly. What are the two numbers? Give your answers in ascending order. (Eg 1, 2)

175, 420, 6, 3
2 m
Level 3
There is a 4-digit number. The digit in the hundreds place is thrice the digit in the ones place. The digit in the thousands place is the smallest even number. The sum of all the digits is 21. What is the number?
3 m
Level 3
I am a 5 digit number.
All my digits are odd.
The sum of the 5 digits is 25.
The digits in the ten thousands place and ones place make 10.
The ones digit is 4 more than the ten thousands digit.
The digits in the hundreds place and tens place make 10 too.
The tens digit is 4 more than the thousands digit.
If none of the digits is repeated, what is the 5 digit number?
4 m