Edexcel-Style Year 10 Foundation Paper 3

Question 1 [1 marks]

Linear Algebra

Solve x/4 = 6

Question 2 [1 marks]

Fractions, Decimals and Percentages

Which list shows 1/4, 1/3, 1/2, 2/3 in order from smallest to largest?

Question 3 [2 marks]

Area, Volume and Measures

A flight leaves at 11:50 am and lands at 1:35 pm. Work out the duration of the flight.

Question 4 [2 marks]

Fractions, Decimals and Percentages

Work out 7/9 - 4/9. Give your answer in its simplest form.

Question 5 [2 marks]

Graphs and Coordinates

The diagrams show two straight lines drawn on grids.

Write down the gradient of the horizontal line shown in diagram (a).

Write down the gradient of the vertical line shown in diagram (b).

Question 6 [2 marks]

Indices and Standard Form

A square rug has an area of 144 cm^2. Work out the length of one side of the rug.

Question 7 [3 marks]

Number and Calculation

Chloe buys three items costing £4.85, £12.99 and £7.20. By rounding each amount to the nearest pound, work out an estimate for the total cost.

Question 8 [3 marks]

Ratio and Proportion

Simplify the ratio 40 minutes : 2 hours, giving your answer in its simplest form.

Question 9 [3 marks]

Sequences

Three sequences are shown below. Sequence A: 7, 11, 15, 19 Sequence B: 4, 12, 36, 108 Sequence C: 3, 6, 11, 18

State whether Sequence A is arithmetic, geometric, or neither of these. Give a reason for your answer.

State whether Sequence B is arithmetic, geometric, or neither of these. Give a reason for your answer.

State whether Sequence C is arithmetic, geometric, or neither of these. Give a reason for your answer.

Question 10 [3 marks]

Angles and Geometrical Reasoning

Triangle E has vertices at (2, 1), (5, 1) and (2, 4). Triangle E is rotated 90 degrees clockwise about the origin O to give triangle E'.

Question 11 [4 marks]

Area, Volume and Measures

A rectangular picture frame measures 15 cm by 8 cm on the outside. A rectangular window measuring 6 cm by 3 cm is cut from the middle of the frame to hold the photo. Work out the area of the frame itself (not including the window).

Question 12 [1 marks]

Number and Calculation

Round 47 to 1 significant figure.

Question 13 [1 marks]

Indices and Standard Form

Work out 2^5.

Question 14 [1 marks]

Area, Volume and Measures

A circle has radius 7 cm. Work out the circumference of the whole circle. Give your answer to 1 decimal place. Use pi = 3.14159.

Question 15 [1 marks]

Linear Algebra

Which value of x satisfies the equation 3x - 2 = 13 ? A) 3 B) 5 C) 15 D) 11/3

Question 16 [2 marks]

Ratio and Proportion

Shampoo is sold in a 250 ml bottle for £3.60 and a 500 ml bottle for £6.40. Which bottle is better value per 100 ml? Show working.

Question 17 [2 marks]

Area, Volume and Measures

Freya converts 3.2 kilograms to grams. She writes: 3.2 kg = 32 g. Explain the mistake Freya has made, and write down the correct answer.

Question 18 [2 marks]

Graphs and Coordinates

A student reads a distance-time graph and finds a cyclist's speed is 12 km in 30 minutes. Give the cyclist's speed in km/h.

Question 19 [1 marks]

Area, Volume and Measures

Convert 5.2 litres to millilitres.

Question 20 [2 marks]

Linear Algebra

A rectangle has length (3x + 2) cm and width (x - 1) cm. Find an expression, in its simplest form, for the perimeter of the rectangle.

Question 21 [2 marks]

Ratio and Proportion

A jogger runs 18 km in 1.5 hours at a constant speed. Work out her average speed, in km/h.

Question 22 [2 marks]

Angles and Geometrical Reasoning

A scale drawing uses 1 cm = 0.5 m. A real pond is 3.75 m long. Work out the length of the pond on the drawing in centimetres. Give your answer to 1 decimal place.

Question 23 [2 marks]

Number and Calculation

Zara was asked to list all the ways to choose 2 different toppings for a pizza from mushroom (M), pepper (P), onion (O) and olives (L), where the order the toppings are chosen in does not matter. Her working is shown below: MP, MO, ML, PM, PO, PL, OM, OL, OM, LM She has concluded there are 10 different pizzas. Explain what is wrong with Zara's list, and work out the correct number of different pizzas.

Question 24 [3 marks]

Angles and Geometrical Reasoning

Lines l and m are parallel. Points P and R lie on l, and point Q lies on m, forming triangle PQR, with QP = QR. The angle between the transversal QP and line m, which is alternate to angle QPR, is marked 63 degrees.

Question 25 [2 marks]

Ratio and Proportion

A cyclist travels at a constant speed of 20 m/s. Work out this speed in km/h.

Question 26 [3 marks]

Angles and Geometrical Reasoning

A wall is represented by the straight line segment PQ, 6 cm long, using a scale of 1 cm to 2 m. Draw PQ. A safety zone extends exactly 3 m from every point on the wall, including its two ends. Using the same scale, draw the locus of the boundary of the safety zone.

Question 27 [3 marks]

Number and Calculation

A length is 4.6 m correct to 1 decimal place. A second length is 2.31 m correct to 2 decimal places. Work out the greatest possible value of the sum of the two lengths. Give your answer to 2 decimal places.

Question 28 [3 marks]

Graphs and Coordinates

A cubic graph has the equation y = x^3 + 2.

Write down the coordinates of the y-intercept of the graph.

State whether the value of y increases throughout as x increases, giving a reason.

Describe the single transformation that maps the graph of y = x^3 onto the graph of y = x^3 + 2.

Question 29 [5 marks]

Linear Algebra

Make x the subject of each formula.

y = (x + 2)/3

y = 5/(x - 1)

Question 30 [4 marks]

Ratio and Proportion

Aaliyah needs at least 2 kg of sugar for a school bake sale. A shop sells sugar in bags of 750 g for 90p each, and bags of 1 kg for £1.10 each. She can only buy whole bags.

Question 31 [5 marks]

Linear Algebra

The formula for converting a temperature from Celsius (C) to Fahrenheit (F) is F = (9/5)C + 32.

Work out F when C = 35.

Use the formula to work out the value of C when F = 68.

Question 32 [5 marks]

Indices and Standard Form

Write 0.00000042 in standard form then give the number of zeros between the decimal point and the first non-zero digit.

Write 0.00000042 in standard form.

State how many zeros appear between the decimal point and the 4 in the original number.

Question 33 [2 marks]

Linear Algebra

Factorise 4x^2 - 9