Week 8 · Maths Practice Paper

Work out the sum of 9, 89, 789, and 6789

(A) 7676      (B) 7566      (C) 7686      (D) 7576

Priya has just paid 84p for a pear. How much would nine cost?

(A) GBP 7.36      (B) GBP 7.56      (C) GBP 7.66      (D) GBP 7.06

The train from London to Edinburgh takes 6 hours and 20 minutes. If the train arrives in Edinburgh at 3:15pm, what time did it leave London?

(A) 8:55am      (B) 9:55am      (C) 8:35am      (D) 9:35pm

The first term of a sequence is 2. The next term is found by multiplying the previous term by three and then adding one. What is the fourth term of the sequence?

2, __, __, ?      (A) 67      (B) 22      (C) 7      (D) 46

Which of these quantities is the largest?

(A) 32 × 2 × 5      (B) 3 × 22 × 5      (C) 34 × 2      (D) 3 × 23

400 students are asked how they travel to school. 40% say they travel by car. One eighth say they walk. The rest travel by bus. How many students travel by bus?

(A) 190      (B) 180      (C) 200      (D) 210

Amir works at a bakery. He earns GBP 7.80 per hour on Saturday and GBP 9.50 per hour on Sunday. Last weekend he worked for 3 hours on Saturday and 1 12 hours on Sunday. How much money did Amir earn over the weekend?

(A) GBP 33.65      (B) GBP 37.65      (C) GBP 41.65      (D) GBP 35.65

This pie chart shows how a group of children travel to school. 180 children go to school by bike. How many children take the bus to school?

(A) 320      (B) 360      (C) 400      (D) 300

The diagram shows two squares and one equilateral triangle, all with the same side length, each with one corner touching a single central point (not overlapping). Together with the angle labelled x°, they exactly surround the point. What is the value of x?

(A) 105      (B) 120      (C) 135      (D) 150

Eight teams play in a netball competition. Each team plays every other team once. How many matches are there?

(A) 56      (B) 28      (C) 32      (D) 16

Aisha takes four exams and finds that her average score is 58 marks. In her fifth and final exam, how many marks does she need to score to achieve an overall average of 67 marks?

(A) 85      (B) 91      (C) 97      (D) 103

The chart below shows distances between some cities in England, using the best routes. All distances are in miles. On Saturday, Onyx drives from London to Bath and then from Bath to Bristol. On Sunday they drive directly back from Bristol to London. How many miles did they drive over the weekend?

(A) 432      (B) 453      (C) 465      (D) 488

Which of these calculations is incorrect?

(A) 4 + 3 × 5 = 19      (B) 18 - 2 × 6 = 6      (C) 15 - 3 × 4 = 3      (D) 5 + 4 × 3 = 27

A film starts at 18:15. The film lasts 132 minutes. At what time does the film end?

(A) 20:27      (B) 20:07      (C) 19:57      (D) 20:47

The mass of 3 identical cubes and 1 sphere is 156g. The sphere is 36g heavier than one of the cubes. What is the mass of one of the cubes?

(A) 30      (B) 24      (C) 40      (D) 36

Here are two identical shaded triangles on coordinate axes. The first has vertices (0,0), (0,6) and (4,6). The second is identical but reflected below the x-axis and translated 9 units to the right: its vertex matching (0,0) is at (9,0), its vertex matching (0,6) is at point B, and its vertex matching (4,6) is at point A. Write the coordinates of point A.

(A) (13,-6)      (B) (9,-6)      (C) (13,6)      (D) (4,-6)

The price of a washing machine increases by twenty percent. The cost of the washing machine is now GBP 342. How much did the washing machine cost before the increase?

(A) GBP 270      (B) GBP 285      (C) GBP 300      (D) GBP 410.40

The diagram shows the plan of a floor: an 18m by 10m rectangle with a rectangular notch (width x m, height 4m) removed from one corner. The area of the floor is 150 m². Work out the value of x.

(A) 6.5      (B) 7.5      (C) 5.5      (D) 9.5

In a quiz there are 20 questions in a round. A contestant scores +4 for each correct answer, -2 for each incorrect answer, and -1 for each question left blank. Leo takes the quiz answering 14 correctly, 4 incorrectly and leaving 2 blank. What is his final score?

(A) 56      (B) 46      (C) 38      (D) 50

Ravi has GBP 4. Nina has GBP 28. Nina gives Ravi some money. Nina now has 3 times as much money as Ravi. How much money did Nina give Ravi?

(A) GBP 3      (B) GBP 2      (C) GBP 1      (D) GBP 4

Section B. Kian has a farm with sheep, goats, and cows. He observes that the ratio of sheep to goats is 1:3 and the ratio of goats to cows is 5:8. If he has 15 goats, how many animals in total are there on Kian's farm?

Section B. Skytower is an extremely tall skyscraper in Croydon. The building is served by three lifts: Lift A stops at every 6th floor, Lift B stops at every 10th floor, and Lift C stops at every 15th floor. All three lifts stop in the lobby on the ground floor (floor zero). Which is the next floor that is served by all three lifts?

Section B. Bijan reads a book. On Monday he reads 72 pages. On Tuesday he reads three eighths of the remaining pages. On Wednesday he reads the final 110 pages. How many pages are in the book?