Week 7 · Maths Practice Paper

What is 2345 + 6789?

What is the value of the digit 6 in the number 264,913?

(A) Six hundred      (B) Six million      (C) Sixty thousand      (D) Six thousand

What is the value of 20282+0+2+8 ?

(A) 165      (B) 169      (C) 173      (D) 177

The first term of a sequence is 5. The next term is found by adding six to the previous term: 5, 11, 17, 23, ___, ___, ... Which of these numbers will NOT appear in the sequence?

(A) 53      (B) 65      (C) 77      (D) 80

What number is shown by this arrow (exactly halfway between the 6th and 7th mark)?

(A) 30,065      (B) 30,650      (C) 36,050      (D) 36,500

Here is a repeating pattern of shapes: circle, square, triangle, star, circle, square, triangle, star, ... What would be the 200th shape in this pattern?

(A) circle      (B) square      (C) triangle      (D) star

A train leaves London at 9:47am and arrives in Edinburgh 245 minutes later. At what time does the train arrive in Edinburgh?

(A) 12:52pm      (B) 1:52pm      (C) 2:52pm      (D) 3:52pm

The fraction A is halfway along this number line, between 13 and 56. What is the value of A?

(A) 12      (B) 712      (C) 23      (D) 34

Which of these calculations has an incorrect answer?

(A) 1085 ÷ 5 = 217      (B) 1288 ÷ 8 = 161      (C) 1596 ÷ 7 = 229      (D) 999 ÷ 3 = 333

Zara is rolling a dice and recording how often the number shown is odd or even. Currently, the ratio of odd to even numbers rolled is 4:9. She has rolled an even number 15 more times than she has rolled an odd number. How many times has she rolled the dice altogether?

(A) 15      (B) 27      (C) 39      (D) 78

Here is a small number grid. Starting at the top-left corner, you may only move down or to the right, one square at a time, until you reach the bottom-right corner. If your path visits a 1, then a 3, then a 9 (in that order, not necessarily in consecutive squares) at any point during the journey, you have failed the challenge.

A new stand has 16 blocks of seats. Each block has 11 rows, and each row has 15 seats. How many seats are there in the stand altogether?

(A) 1,760      (B) 2,640      (C) 2,860      (D) 3,120

Which of these calculations has a different answer to the other three?

(A) 34 of 64      (B) 625 of 200      (C) 15% of 320      (D) 20% of 200

Ravi earns GBP 7.50 per hour by walking dogs for his neighbours. This weekend, he spent four hours walking dogs on Saturday, and 1 12 hours on Sunday. How much money did he earn in total?

(A) GBP 33.75      (B) GBP 37.50      (C) GBP 41.25      (D) GBP 45.00

Three identical cubes and a sphere have a total mass of 168g. The sphere's mass is 16g more than a cube's mass. What is the mass of a single cube?

(A) 32g      (B) 38g      (C) 40g      (D) 48g

Leo is holding a card with a number on it. When he finds one quarter of his number and then adds 9, he makes two more than the double of his number. What is his number?

(A) 2      (B) 4      (C) 8      (D) 10

In this addition, the letters A, B, C and D each represent different digits. What is A + B + C + D?

D + CD + BCD + ABCD = 4444

Which of these could NOT be a net for a cube?

(A) A cross/plus-shaped arrangement of 6 squares      (B) A zig-zag staircase of 6 squares (each offset by one from the last)      (C) A row of 4 squares with one extra square above the 2nd and one extra square below the 3rd      (D) A straight row of 6 squares in a single line

Ravi, Sam and Tegan have these four number cards: 31, 32, 33, 34. Each child chooses one of the cards. Ravi and Sam's numbers add to a square number. Sam and Tegan's numbers add to a prime number. Ravi and Tegan's numbers add to a multiple of 13. Which number card was not chosen by any of the children?

(A) 31      (B) 32      (C) 33      (D) 34

In a quiz there are 20 questions, and contestants score 5 points for a correct answer, -3 points for an incorrect answer, and 0 points if they 'pass' on a question. Maya scored 62 points in the quiz. How many questions did Maya 'pass' on?

(A) 3      (B) 6      (C) 9      (D) 12

In the triangle below, AD is perpendicular to the base BC (the right angle is marked at D). The angle at the top of the triangle, between AD and side AC, is 40°. A second line is drawn from B to a point on AC, making an angle of 70° with AC (marked on the diagram). What is the size of angle X, at B, between the base BC and this second line?

What is the area, in cm², of the shaded area below (each small square is 1cm × 1cm)?

Ethan has GBP 20. Priya has GBP 68. They each give the same amount of money to a local charity. Priya now has five times as much money as Ethan. How much money did they each give to the charity?

Zara takes the digit cards 1 to 8 and creates an addition using three fractions. She uses the odd digits 1, 3 and 7 as the numerators, and the even digits 2, 4 and 8 as the denominators. What is the largest total that Zara can make? Give your answer as a fraction.

The symbol ◇ represents the following function: a ◇ b = (a × b) - (a + b). For example, 5 ◇ 4 = (5 × 4) - (5 + 4) = 20 - 9 = 11.

L and M are both two-digit numbers, and L > M. Work out the values of L and M if: L ◇ M = 143