Questions 1 – 25: Score 2 marks for each correct answer

25 + 125 + 225 + 325 + 425 + 525

73000 − 4600

Which of the following is divisible by 9?

73 x 77

142857 x 7

110211 ÷ 9

93 x 94

65²

114 x 112

What is the last digit in the answer to 13948 x 18063?

What is the next number in this sequence?

100,     99,     96,     91,     …..

Which of the following is not 19 more than a square number?

In a shop I spend $2.98, $4.97 and $5.99. How much change do I receive from $20?

When using Vertically and Crosswise to multiply 263×479, what is the result of the third step before any carry digits have been added?

?×109=11663

Sweekriti has $360. She spends half on a bicycle. She spends one third of the remainder on cycling outfit. She then spends one quarter of the remainder on a backpack. How much does she have left?

Noriko is travelling from Tokyo to London and changes 426000 Japanese Yen into GB Pounds. The exchange rate is 200 Yen = 1 Pound. How many Pounds does she receive?

Kamala goes swimming at her local pool. The length of the pool is 25 metres. She swims 4 km. How many lengths does she swim? (1 km = 1000 metres)

Here are the first three patterns in a sequence.

Which of the following is the fourth pattern in the sequence?

In which of the following ranges is there a multiple of 81?

Today is Saturday at midday. What day of the week is 2024 minutes before this?

How many zeros are in the answer to 663663663221 ÷ 221?

Whish of the following gives a calculation for the 12th triangular number?

Questions 26 – 35: Score 3 marks for each correct answer.

31×96×99÷93

The figure shows the plan of a room. A mouse starts at point A and runs along the edge until getting back to point A.

My cupboard is 140 cm tall. When I place a chair on top of a table, they are 50 cm taller than the cupboard.

The table is 8 cm taller than the chair. How tall is the chair?

Jacob and Leah both have long ladders. The rungs on Jacob’s ladder are each 36 cm apart. The rungs on Leah’s ladder are each 32 cm apart. Jacob and Leah both start climbing their ladders. How high will they be when they are first at the same height.

Tammy wrote a number on the whiteboard. She then saw that it did not have her favourite digit 5 so she put a 5 on the end. Her new number is 1589 more than the first number. What was her first number?

In the following expression, each letter stands for a different digit.

What is the largest possible total?

LOTS + MORE + MATH

A cardboard picture frame is made by cutting a rectangle out of a large rectangle. The large rectangle measures 102 cm by 108 cm. The cut out rectangle measures 98 cm by 92 cm. What is the area of the remaining frame?

Which Vedic Maths sutra is most suitable for the calculations in the previous question?

A Japanese Bullet train has 16 cars. The front car and back car are each 27.35 metres long. All other cars are 25 metres long.

How long is the train?

Alpha, Beta, Gamma, Delta and Epsilon in some order are codes for the numbers 21, 22, 25, 27 and 29.

Alpha is greater than Epsilon, Gamma is less than Delta, Epsilon is greater than Delta, Beta is greater than Gamma.

Which is the code for 21?

Questions 36 – 40: Score 4 marks for each correct answer

What fraction of the whole rectangle is shaded?

The diagram shows the plan for Jamie Oliver’s new vegetable garden. Each rectangle is used for a different vegetable. Both the rectangles for carrots and potatoes are twice as long as they are wide.
What is the area for beans?

The shaded triangle is made by joining one corner of a square to midpoints of two edges. The area of the shaded triangle is 600 cm²

What is the perimeter of the square?

In the code, each digit is represented by three letters (except 9 which has two letters).

Which of the five words below can be the answer to,

In the figure, each spot lies on the corner of a regular pentagon.

What is the minimum number of regular pentagons. needed to be drawn so that all the spots lie on pentagons.