Foundation Basics B

Question 1 [1 marks]

Number and Calculation

A calculator shows the answer to 22/7 as 3.142857143. Round this answer to 3 significant figures.

Question 2 [1 marks]

Angles and Geometrical Reasoning

The angle at vertex M in triangle LMN can be written as angle LMN. Write down one other three-letter name for this same angle.

Question 3 [1 marks]

Statistics and Probability

A scatter graph shows a strong negative correlation between two variables. Which statement correctly describes this?

Question 4 [2 marks]

Angles and Geometrical Reasoning

A protractor is placed with its centre on the vertex of angle ABC. The arm of the angle crosses the scale at 38 on the inner scale and 142 on the outer scale. By eye, angle ABC is clearly smaller than a right angle.

Question 5 [3 marks]

Sequences

The nth term of a sequence is 6n - 4.

Work out the first three terms of the sequence.

Work out the 20th term of the sequence.

Question 6 [4 marks]

Area, Volume and Measures

A rectangular floor measures 5 m by 4 m. Square tiles measuring 40 cm by 40 cm are used to cover the floor exactly, with no cutting or overlap. Each tile costs £3.60. Work out the total cost of the tiles needed to cover the floor.

Question 7 [3 marks]

Fractions, Decimals and Percentages

The diagram shows a rectangle divided into 10 equal parts. 7 of the parts are shaded grey. The rectangle represents all of the 200 songs on Ben's playlist.

Write down the fraction of the rectangle that is shaded, giving your answer in its simplest form.

Work out the number of songs on the playlist that are represented by the shaded part of the diagram.

Question 8 [1 marks]

Area, Volume and Measures

Convert 3.6 tonnes to kilograms.

Question 9 [2 marks]

Number and Calculation

Work out 12.75 + 4.86.

Question 10 [1 marks]

Area, Volume and Measures

Two squares are drawn, of any size.

Question 11 [1 marks]

Number and Calculation

The table shows the midday temperature in five UK cities on 15 January. Aberdeen: -3 degrees C Belfast: 0 degrees C Cardiff: 2 degrees C Leeds: -1 degrees C Norwich: -6 degrees C Put the cities in order of temperature, coldest first.

Question 12 [2 marks]

Area, Volume and Measures

A parallelogram has an area of 108 cm^2 and a base of 9 cm. Work out the perpendicular height of the parallelogram.

Question 13 [2 marks]

Number and Calculation

Sera adds 4,389 + 2,176 and gets 6,545. Use the inverse to check whether her answer is correct. Carry out the check and state whether she is correct.

Question 14 [1 marks]

Statistics and Probability

A survey asks 7 pupils how many books they read last month. The frequency table is: Number of books: 0, 1, 2, 3 Frequency: 2, 3, 1, 1 Write down the mode number of books.

Question 15 [2 marks]

Number and Calculation

Work out 0.95 + 3.07 + 5.48.

Question 16 [2 marks]

Number and Calculation

A drama club has 9 members. Two of the members are to be chosen to perform a duet at the end-of-term show. The order in which they are chosen does not matter. Work out how many different pairs of performers could be chosen.

Question 17 [3 marks]

Number and Calculation

Tom uses his calculator to work out 68 x 297. His calculator shows 2019.6. Use estimation to determine whether Tom's answer is correct, and give an estimate for the correct answer.

Question 18 [5 marks]

Statistics and Probability

A jar contains only yellow, purple and orange sweets, in the ratio yellow : purple : orange = 2 : 5 : 3.

Find P(purple), the probability that a sweet taken at random from the jar is purple.

Find P(orange).

There are 80 sweets in the jar in total. Work out how many of the sweets are yellow.

Question 19 [3 marks]

Number and Calculation

Complete the prime factorisation and then use it to find the HCF of 48 and 72. Prime factorisation: 48 = ___, 72 = ___