Year 11 Paper 1: Number and Data

Question 1 [1 marks]

Number and Calculation

Which of these numbers is a prime number?

Question 2 [1 marks]

Statistics and Probability

A pie chart is divided into 6 equal sectors, each showing a different flavour of ice cream sold at a summer fair. What is the angle of each sector?

Question 3 [2 marks]

Number and Calculation

Nadia buys 3 tins of paint. Each tin costs £8.75. Work out the total cost of the 3 tins of paint.

Question 4 [2 marks]

Linear Algebra

The equation 3x+7=25 can be shown as a function machine: x --> [ x 3 ] --> [ +7 ] --> 25. Use the function machine, working backwards, to find the value of x.

Question 5 [3 marks]

Fractions, Decimals and Percentages

Chloe is driving on a journey of 84 miles. She has driven 3/7 of the journey so far. Work out how many miles Chloe has left to drive.

Question 6 [3 marks]

Number and Calculation

Work out 5 + 100 / (2 + 3)^2

Question 7 [3 marks]

Ratio and Proportion

A bureau de change offers an exchange rate of £1 = 1.18 euros. It also charges a fixed fee of £3 for each transaction, taken from the amount changed before the exchange rate is applied. Bilal changes £200 into euros. Work out how many euros he receives.

Question 8 [1 marks]

Number and Calculation

Work out 18 / 3 + 2.

Question 9 [1 marks]

Fractions, Decimals and Percentages

A price is increased by 12%. State the single decimal multiplier used to find the new price directly from the original price.

Question 10 [1 marks]

Statistics and Probability

A frequency table shows the number of pencils sold each day last week. Length of sale period (minutes): 0-5, 5-10, 10-15, 15-20 Frequency: 2, 5, 8, 5 Write down the midpoint of the class 10-15.

Question 11 [1 marks]

Fractions, Decimals and Percentages

Which fraction is equivalent to 3/5? Circle one: 6/10, 4/6, 3/8.

Question 12 [1 marks]

Linear Algebra

Given that y = 2x + 3, which of the following correctly makes x the subject of the formula?

Question 13 [2 marks]

Statistics and Probability

Here are five points plotted on a scatter graph: (1, 2), (2, 4), (3, 6), (4, 8), (5, 10). Do these points show a positive correlation, negative correlation, or no correlation? Explain in one short sentence.

Question 14 [2 marks]

Number and Calculation

A lift in a multi-storey car park starts at level -2 (the second basement level). It travels up 5 levels, then down 3 levels. At which level does it end up?

Question 15 [2 marks]

Ratio and Proportion

Share £63 in the ratio 1:2. Work out how much the smaller share is.

Question 16 [2 marks]

Number and Calculation

Work out 4,075 divided by 1000. Give your answer as a decimal.

Question 17 [2 marks]

Statistics and Probability

A teacher draws a scatter graph of hours studied (x) and test score (y) for 6 students. The points are: (1, 55), (2, 58), (3, 60), (4, 62), (5, 61), (6, 64). Give a one-sentence description of the strength of the correlation (strong, moderate or weak) and state whether it is positive or negative.

Question 18 [3 marks]

Ratio and Proportion

A gardener needs at least 9 kg of compost for a raised bed. Compost is sold in 2 kg bags at £3.20 and 5 kg bags at £7.00. Show that buying one 5 kg bag and two 2 kg bags is cheaper than buying five 2 kg bags or two 5 kg bags.

Question 19 [3 marks]

Number and Calculation

Rounding and estimating.

Round 6.482 to 1 decimal place.

By rounding each number to 1 significant figure, work out an estimate for (39.2 x 5.1) / 9.8

Question 20 [3 marks]

Ratio and Proportion

A jacket is reduced by 20% and now costs £24. Work out the original price of the jacket.

Question 21 [1 marks]

Statistics and Probability

The bar chart compares the total sales, in £000s, of Company A and Company B last year. Company A had sales of 42 (thousand pounds) and Company B had sales of 48 (thousand pounds).