Edexcel-Style Year 10 Foundation Paper 2

Question 1 [1 marks]

Area, Volume and Measures

Convert 5 m to cm

Question 2 [2 marks]

Sequences

Here are the first four terms of a sequence. 1, 3, 6, 10

Write down the next two terms of the sequence.

State the name given to this special sequence of numbers.

Question 3 [1 marks]

Area, Volume and Measures

Convert 3.5 days to hours.

Question 4 [2 marks]

Fractions, Decimals and Percentages

A quantity decreases from 120 to 84. Work out the percentage decrease.

Question 5 [2 marks]

Graphs and Coordinates

A vertical line has the equation x = 4. A horizontal line has the equation y = -3. Write down the coordinates of the point where these two lines cross.

Question 6 [2 marks]

Ratio and Proportion

In a bag of counters, the ratio of red counters to blue counters is 3:5.

Write the number of red counters as a fraction of the number of blue counters.

Write the number of red counters as a fraction of the total number of counters in the bag.

Question 7 [3 marks]

Linear Algebra

Make x the subject of each formula.

y = 4x

y = x/7

w = kx

Question 8 [3 marks]

Number and Calculation

Work out each calculation.

6.2 x 10

38 x 100

0.9 x 1000

Question 9 [3 marks]

Angles and Geometrical Reasoning

Triangle PQR has angle P = 90 degrees and angle Q = 35 degrees. Angle R = z.

Work out the size of angle z.

Write down the mathematical name for this type of triangle.

Question 10 [3 marks]

Linear Algebra

Solve the simultaneous equations: 2x + y = 11 2x - y = 5

Question 11 [4 marks]

Indices and Standard Form

Work out the value of each square root.

sqrt(36)

sqrt(64)

sqrt(1)

sqrt(121)

Question 12 [1 marks]

Fractions, Decimals and Percentages

Write 7/8 as a percentage.

Question 13 [1 marks]

Number and Calculation

There are 84 red counters and 37 blue counters in a bag. Work out the total number of counters in the bag.

Question 14 [1 marks]

Fractions, Decimals and Percentages

State the decimal multiplier equivalent to an increase of 8%.

Question 15 [1 marks]

Graphs and Coordinates

Find the gradient of the straight line joining the points (5, -2) and (5, 6).

Question 16 [1 marks]

Number and Calculation

Work out 5,000 - 999.

Question 17 [2 marks]

Area, Volume and Measures

A circle has radius 45 mm. Calculate the circumference of the circle. Give your answer in centimetres, correct to 1 decimal place.

Question 18 [2 marks]

Fractions, Decimals and Percentages

3/8 of a number is 27. Work out the number.

Question 19 [2 marks]

Ratio and Proportion

Priya and Noah share 35 stickers in the ratio 3:4. How many stickers does Priya receive?

Question 20 [2 marks]

Area, Volume and Measures

A triangular prism has a triangular cross-section with base 6 cm and height 3 cm. The prism is 12 cm long. Work out the volume of the prism in cm^3.

Question 21 [3 marks]

Angles and Geometrical Reasoning

u = (3, -1), v = (-5, 4) and w = (2, 6).

Work out u + v + w as a column vector.

Calculate the magnitude of u + v + w.

Question 22 [3 marks]

Fractions, Decimals and Percentages

A laptop originally costs £450. It is reduced by 20% and later increased by 10% on the reduced price. Work out the final selling price.

Question 23 [4 marks]

Number and Calculation

The table shows four calculations that all use the numbers 8, 3 and 2, arranged with different brackets and operations. Work out the value of each calculation.

8 + 3 x 2

(8 + 3) x 2

8 x (3 - 2)

(8 - 3) x 2^2

Question 24 [3 marks]

Area, Volume and Measures

Show that increasing every linear dimension of a cuboid by 10% increases its surface area by 21%. You must show your working.

Question 25 [4 marks]

Number and Calculation

A restaurant bill is for 4 meals, each costing £11.95, plus a 10% service charge.

By rounding the cost of each meal to the nearest pound, estimate the total bill.

Work out the exact total bill.

Question 26 [4 marks]

Graphs and Coordinates

The graph y = f(x) passes through points (0, 2) and (1, 5). (a) Find the images of these points on the graph y = f(-x) - 4. (b) Give both new coordinates.

Find the image of (0, 2) on y = f(-x) - 4.

Find the image of (1, 5) on y = f(-x) - 4.

Question 27 [3 marks]

Angles and Geometrical Reasoning

Work out the value of x, then find the size of the smaller of the two angles.

Question 28 [4 marks]

Number and Calculation

A recipe needs 0.345 kg of flour for one batch. Estimate how much flour is needed for 12 batches by rounding the quantity for one batch to 1 significant figure first.

Question 29 [4 marks]

Angles and Geometrical Reasoning

Triangle ABC has vertices A(2, 0), B(5, 0) and C(2, 3). First translate the triangle by the vector (-2, 1). Then reflect the translated triangle in the x-axis. Give the coordinates of the final image of point C only.

Question 30 [6 marks]

Number and Calculation

A rectangle has length 6.3 m correct to 1 decimal place and width 2.45 m correct to 2 decimal places. (a) Write down the error intervals for the length and the width. (b) Work out the greatest possible area of the rectangle. Give your answer to 3 decimal places.

Write the error intervals for the length and the width.

Work out the greatest possible area. Give your answer to 3 decimal places.

Question 31 [3 marks]

Angles and Geometrical Reasoning

In triangle ABC the exterior angle at C is 2x + 20 degrees. The interior opposite angles are x + 10 and 3x - 5. Work out the value of x.