Foundation Grade 3 Mini Test A

Question 1 [1 marks]

Quadratics

State whether the graph of y = 8 - 3x^2 is u-shaped or n-shaped.

Question 2 [2 marks]

Fractions, Decimals and Percentages

Work out 12% of £450.

Question 3 [2 marks]

Angles and Geometrical Reasoning

Quadrilateral D has vertices at (1, 1), (4, 1), (4, 2) and (1, 3). Quadrilateral D is reflected in the line y = x to give quadrilateral D'.

Question 4 [2 marks]

Ratio and Proportion

Write the ratio 9:36 in the form 1:n.

Question 5 [3 marks]

Angles and Geometrical Reasoning

Column vectors are written in the form (x, y), where x is the top (horizontal) number and y is the bottom (vertical) number. u = (4, 1) and v = (-2, 5).

Work out u + v as a column vector.

Work out u - v as a column vector.

Work out 3v as a column vector.

Question 6 [3 marks]

Ratio and Proportion

A football squad has 24 players. The ratio of forwards to midfielders to defenders is 3:5:4. Work out the percentage of the squad who are defenders.

Question 7 [3 marks]

Number and Calculation

Work out (7.2 x 10^8) / (4 x 10^3). Give your answer in standard form.

Question 8 [7 marks]

Ratio and Proportion

Fatima wants to change £400 into US dollars. Bank rate: £1 = 1.24 dollars, with no fee. Post Office rate: £1 = 1.30 dollars, but a fee of £15 is taken from the £400 before the exchange rate is applied.

Work out how many dollars Fatima would get from the bank.

Work out how many dollars Fatima would get from the Post Office.

State which option gives Fatima more dollars, and by how much, ft from (a) and (b).

Question 9 [1 marks]

Angles and Geometrical Reasoning

Write down the locus of points equidistant from two intersecting straight lines.

Question 10 [1 marks]

Number and Calculation

Work out the smallest 3-digit integer that is divisible by both 11 and 13.

Question 11 [2 marks]

Angles and Geometrical Reasoning

Triangle XYZ is isosceles, with XY = XZ. Angle X = 48 degrees.

Work out the size of angle Y.

Give a reason for your answer to part (a).

Question 12 [2 marks]

Number and Calculation

A student writes a measurement as 0.72 correct to 2 decimal places. Work out the error interval for the true value.

Question 13 [3 marks]

Ratio and Proportion

Compare two shops. Shop A gives the rate £1 = 1.10 euros. Shop B gives the rate £1 = 1.12 euros but charges a fixed £2 fee per transaction. A customer wants to change £100. Which shop gives the customer more euros? Show your working.

Question 14 [2 marks]

Number and Calculation

Calculate 34 x 27.

Question 15 [3 marks]

Ratio and Proportion

Inverse proportion. 8 identical machines take 15 hours to complete a job. How many hours would 12 identical machines take to complete the same job, assuming they work at the same rate?

Question 16 [3 marks]

Number and Calculation

Work out (9 + 3^2) / 3 - 1.