Foundation Core A

Question 1 [1 marks]

Area, Volume and Measures

Convert 1.5 kg to grams

Question 2 [1 marks]

Fractions, Decimals and Percentages

Simplify 6/9 fully.

Question 3 [2 marks]

Graphs and Coordinates

Point A is at (6, -2). Point A is reflected in the x-axis to give point B. Point B is then reflected in the y-axis to give point C. Work out the coordinates of point C.

Question 4 [2 marks]

Angles and Geometrical Reasoning

Triangle A has vertices at (-5, 4), (-5, 1) and (-3, 1). Triangle A is translated by the vector (5, -2) to give triangle B.

Question 5 [2 marks]

Number and Calculation

Chidi says that in the number 60,802 the digit 8 has a value of 8000. Explain the mistake Chidi has made, and write down the correct value of the digit 8.

Question 6 [2 marks]

Linear Algebra

The number of stickers Freya has is given by the expression 3n + 5, where n is the number of stickers her brother has. Describe, in words, what the expression 3n + 5 means in this context.

Question 7 [3 marks]

Ratio and Proportion

While on holiday in the USA, Tom sees a jacket priced at $84. The exchange rate is GBP 1 = $1.40. In the UK, the same jacket costs GBP 54. Work out the difference in price, in pounds, between buying the jacket in the USA and in the UK.

Question 8 [4 marks]

Statistics and Probability

150 people at a leisure centre were asked whether they prefer swimming or the gym. The two-way table shows some of the information.

Complete the two-way table.

One of these 150 people is chosen at random. Work out the probability that this person is a child who prefers the gym.

Question 9 [3 marks]

Indices and Standard Form

Work out the value of each of the following.

6^2

2^5

9^0

Question 10 [1 marks]

Statistics and Probability

A two-way table records pupils who play football and their gender. There are 35 pupils in total. 11 boys play football and 18 pupils play football overall. There are 15 girls in the class. Work out the probability that a randomly chosen pupil is a girl who plays football.

Question 11 [1 marks]

Area, Volume and Measures

Work out the perimeter of a rectangle with length 13 cm and width 8 cm.

Question 12 [1 marks]

Angles and Geometrical Reasoning

Which of these is a correctly written three-figure bearing?

Question 13 [1 marks]

Area, Volume and Measures

A prism has a triangular cross-section with base 5 cm and height 4 cm. The prism length is 10 cm. Work out the volume of the prism. Give your answer in cm^3.

Question 14 [1 marks]

Number and Calculation

Work out -3 + (-5).

Question 15 [1 marks]

Indices and Standard Form

Which two consecutive integers does sqrt(7) lie between?

Question 16 [1 marks]

Graphs and Coordinates

A distance-time graph shows Maya walking. At time 0 min she is at 0 km. At 10 min she is at 0.8 km, at 20 min she is at 1.5 km and at 30 min she is at 2.0 km. Work out Maya's distance from her start after 20 minutes.

Question 17 [2 marks]

Linear Algebra

A function machine doubles the input then subtracts 3. The output is 19. Work out the input.

Question 18 [2 marks]

Angles and Geometrical Reasoning

OABC is a quadrilateral, with vertices in order. OA = a, AB = b and BC = c.

Question 19 [2 marks]

Number and Calculation

Calculate (-4) x 3 + 7.

Question 20 [2 marks]

Graphs and Coordinates

The table shows the coordinates of four points on a grid. Point | x | y E | -4 | 3 F | 5 | 3 G | 2 | -5 H | -1 | -2 Write down the letter of the point that lies in the third quadrant, and state its coordinates.

Question 21 [2 marks]

Number and Calculation

A carton contains 900 ml of orange juice. Yusuf drinks 2/5 of the carton. Work out how much juice, in millilitres, Yusuf drinks.

Question 22 [2 marks]

Linear Algebra

Write down all the integer values of x that satisfy -3 < x <= 2.

Question 23 [3 marks]

Statistics and Probability

60 employees at a company were asked whether they cycle (C) or walk (W) to work. The Venn diagram shows: 20 employees in C only, 6 employees in the overlap of C and W, 10 employees in W only, and 24 employees outside both circles.

An employee is chosen at random. Find P(C).

Find the probability that an employee neither cycles nor walks to work.

Question 24 [4 marks]

Number and Calculation

A metal cylinder has radius 1.2 cm, given to 2 significant figures, and height 3.4 cm, given to 1 decimal place. Work out the least possible volume of the cylinder. Use pi = 3.142 and give your answer to 2 decimal places. (Volume = pi * r^2 * h.)

Write the error intervals for the radius and the height.

Using the least possible radius and least possible height, work out the least possible volume. Give your answer to 2 decimal places using pi = 3.142.

Question 25 [3 marks]

Angles and Geometrical Reasoning

Angle ABE = (2x + 30) degrees and angle BCF = (3x - 10) degrees, where x = 32. Show that AB is parallel to CF.

Question 26 [4 marks]

Number and Calculation

A factory packs 4598 widgets into boxes holding 36 widgets each. Part (a) How many full boxes are there and how many widgets are left over? Part (b) If the factory needs enough boxes so that every widget is in a box (partial boxes allowed), how many boxes are needed in total?

How many boxes are needed so that every widget is in a box?

Question 27 [5 marks]

Statistics and Probability

30 pupils were asked how many hours of TV they watched last night. The table shows the results, but one frequency, c, is missing. Hours watched (x): 0, 1, 2, 3, 4 Frequency (f): 6, 10, c, 4, 2 Total number of pupils = 30

Find the value of c.

Write down the modal number of hours watched.

Find the median number of hours watched.

Question 28 [2 marks]

Fractions, Decimals and Percentages

Express 24 as a percentage of 80.