Level 2
Some tables and chairs are arranged as shown. How many chairs will there be in Pattern 8?
2 m
Level 2
Study the number arrangement carefully. What is the value of A?
2 m
Level 2
Look at the pattern.
1 ÷ 9 = 0.111111
2 ÷ 9 = 0.222222
3 ÷ 9 = 0.333333

1 ÷ 99 = 0.010101
2 ÷ 99 = 0.020202
3 ÷ 99 = 0.030303

What is 4 ÷ 999 to 6 decimal places?
2 m
Level 2
Observe the number pattern in Figure A and Figure B. What is the missing number in Figure C?
2 m
Level 2
1 + 2 + 3 + ... + 94 + 95 + 96 + 97. When the first 97 whole numbers are added up. What is the digit in the ones place of this total?
2 m
Level 3
There are 5 tennis players. Each player will have one match against each of the other 4 players. How many different matches are there to be arranged?
2 m
Level 3
How many shaded triangles will there be in Pattern 25?
3 m
Level 2
Find the sum of the even numbers ranging from 1 to 50.
2 m
Level 2
When all the even numbers from 2 to 20 are added up, what is the digit in the ones place?
2 m
Level 2
Study the pattern.
13 -14 = 112
14 - 15 = 120
15 -16 = 130
What is the value of 129 - 130?
2 m
Level 2
Jane used 200 beads to make a necklace. She used 3 black beads for every 5 white beads to form the following pattern. What was the total number of black beads she used?
3 m
Level 2
The picture shows only the first 4 rows of black and white cards placed laid out by Ali. In total, 320 rows of cards are needed. The remaining cards will be arranged in the pattern as shown. How many black cards will Ali need for the whole banner?
3 m
Level 3
Study the pattern. It shows the seating arrangement at a conference. Seat 8 is in column D. The seating arrangement continues on in the same manner. Find the column for
  1. Seat 90
  2. Seat 116
3 m
Level 3
What is the difference in the number of squares and triangles in Pattern 45?
3 m
Level 3
Corie spent 3 days making some bread for sale. Each day, she made 18 more bread than the day before. She made a total of 141 bread. How many bread did she make on the first day?
3 m
Level 3
Look at the pattern on the right. At what position does the number '12' first appear?
3 m
Level 3
A novel has 79 pages. What is the sum of all the page numbers?
3 m
Level 3
The figure shown is a staircase made up of 1-cm cubes. What is the volume of the total number of cubes up to Step 20?
3 m
Level 3
Jerry started exercising by doing 5 sit-ups on the first day. Every day, he would do 2 more sit-ups than the day before. How many sit-ups did he do altogether after 7 days?
3 m
Level 3
Find the sum of 12 + 13 + 23 + 14 + 24 + 34 + 15 + 25 + 35 + 45 + . . . + . . . + 120 + 220 + . . . + . . . + . . . + 1920.
3 m