AQA GCSE MATHEMATICS 8300-2F Foundation Tier Paper 2 Calculator Question Paper + Mark scheme June 2022.

GCSE MATHEMATICS F Foundation Tier Paper 2 Calculator Time allowed: 1 hour 30 minutes Materials For this paper you must have: • a calculator • mathematical instruments • the Formulae Sheet (enclosed). Instructions For Examiner’s Use Pages Mark 2–3 4–5 6–7 8–9 10–11 12–13 14–15 16–17 18–19 20–21 22–23 24–25 26–27 TOTAL • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of this page. • Answer all questions. • You must answer the questions in the spaces provided. Do not write outside the box around each page or on blank pages. • If you need extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s). • Do all rough work in this book. Cross through any work you do not want to be marked. Information • The marks for questions are shown in brackets. • The maximum mark for this paper is 80. • You may ask for more answer paper, graph paper and tracing paper. These must be tagged securely to this answer book. Advice In all calculations, show clearly how you work out your answer. *jun2283002F01* IB/M/Jun22/E9 8300/2F Answer all questions in the spaces provided. 1 Here is a number line. Which number is at A? Circle your answer. [1 mark] 1.2 1.4 1.5 1.8 2 Here is an expression 5a + 7b + 9c Which is the second term? Circle your answer. [1 mark] a 7 7b 9 3 How many hours are there in 5 days? Circle your answer. [1 mark] 35 120 150 300 *02* 4 Which of these parts of a circle is a curve? Circle your answer. [1 mark] circumference diameter centre radius 5 (a) Write 1 as an improper fraction. [1 mark] Answer 5 (b) Convert to a decimal. [1 mark] Answer 5 (c) Round 2.84 to 1 decimal place. [1 mark] Answer 7 *03* 6 A machine to clean carpets can be hired. Machine hire £25 per day Cleaning fluid 1-litre bottle £10 2-litre bottle £18 Rana wants to hire the machine for 1 day and buy 5 litres of cleaning fluid. Work out the smallest total amount she could pay. [3 marks] Answer £ *04* 6 *05* 8 The masses of some puppies were recorded. The smallest mass was 7 kilograms 200 grams. The range of the masses was 650 grams. What was the largest mass? Give your answer in kilograms and grams. [2 marks] Answer kilograms grams 9 (a) Ali revises each day for five days. On each of the first four days he revises from 5 pm to 8 pm On the fifth day he starts revising at 1 pm He finishes when he has revised for a total of 18 hours for the five days. What time does he finish on the fifth day? [3 marks] Answer *06* 9 (b) Sofia is revising for Maths. She tries to work out 3 × (4 + 2) Here is her working. 3 × (4 + 2) = 12 + 3 = 15 What mistake has she made? [1 mark] Turn over for the next question 6 box *07* *08* 10 (c) D is the point on the grid that makes ABCD a parallelogram. Work out the coordinates of D. [1 mark] Answer ( , ) 10 (d) Write down the equation of the line passing through A and B. [1 mark] Answer Turn over for the next question 4 *09* 11 Nihal has savings of £168 He uses of his savings to buy sports equipment. 11 (a) Assume that he will use of the rest of the money to buy a shirt. How much of his savings, in £, will he have left? [3 marks] Answer £ *10* 11 (b) In fact, he uses more than of the rest of the money to buy a shirt. What does this tell you about how much of his savings he has left? Tick one box. It is more than the answer to part (a) It is the same as the answer to part (a) It is less than the answer to part (a) It is not possible to tell Turn over for the next question [1 mark] 4 *11* 12 Sue is working with 2-digit numbers. She multiplies the digits together to get an answer. For 63, she multiplies 6 by 3 so 63 gives an answer of 18 12 (a) Write down a different 2-digit number that gives an answer of 18 [1 mark] Answer 12 (b) Write down a 2-digit number that gives an answer of 0 [1 mark] Answer 12 (c) Write down a 2-digit number that gives an answer greater than 70 [1 mark] Answer *12* 13 Steve and Molly each buy 480 tea bags. Small packs 80 tea bags for £1.90 Large packs 160 tea bags for £3.25 Steve buys only small packs. Molly buys only large packs. In total, how much more than Molly does Steve pay? [4 marks] Answer £ 7 *13* 14 Match each expression on the left with one on the right. One has been done for you. [3 marks] MARK SCHEME Continental notation Accept a comma used instead of a decimal point (for example, in measurements or currency), provided that it is clear to the examiner that the student intended it to be a decimal point. Q Answer Mark Comments 1 1.5 B1 Q Answer Mark Comments 2 7b B1 Q Answer Mark Comments 3 120 B1 Q Answer Mark Comments 4 circumference B1 Q Answer Mark Comments 5(a) B1 oe improper fraction Additional Guidance in working with a decimal on answer line B0 Q Answer Mark Comments 5(b) 0.4375 B1 accept .4375 Additional Guidance 7 ÷ 16 with incorrect or no decimal B0 0.4375 in working with 0.437 or 0.438 or 0.43 or 0.44 or 0.4 on answer line B0 Q Answer Mark Comments 5(c) 2.8 B1 Ad ditional Guidance 2.80 B0 Q Answer Mark Comments 6 Cost of 5 litres of cleaning fluid 2 × 18 + 10 or 36 + 10 or 46 or 18 + 3 × 10 or 18 + 30 or 48 or 5 × 10 or 50 M1 oe cost of 2 × 2 litres + 1 × 1 litre or cost of 1 × 2 litres + 3 × 1 litre or cost of 5 × 1 litre Cost of machine plus 5 litres of cleaning fluid 25 + 2 × 18 + 10 or 25 + 18 + 3 × 10 or 73 or 25 + 5 × 10 or 75 M1dep oe 71(.00p) A1 SC1 70(.00p) Additional Guidance Up to M2 may be awarded for correct work with no, or incorrect answer, even if this is seen amongst multiple attempts Special case is for the correct total from using 2.5 bottles at £18 Q Answer Mark Comments 7 Angle [88°, 92°] at B M1 length ⩾ 1 cm for vertical may be implied by a point marked Line parallel to AB M1 mark intention length ⩾ 1 cm may be implied by two points marked Quadrilateral ABCD with angle ABC = [88°, 92°] and CD parallel to BA and BC = [3.8, 4.2] cm and DC = [5.8, 6.2] cm A1 sides must be joined and look straight ignore extra lines and lines extended SC2 reflection of correct shape with right angle at A (ignore labels) Additional Guidance Lengths of lines (as long as ⩾ 1 cm) irrelevant for up to M2 Condone absence of labels C and D Correct quadrilateral with C and D labels swapped M2A0 Q Answer Mark Comments 8 7 (kg) 200 (g) + 650 or 7200 + 650 or 7.2(00) + 0.65(0) or 7850 seen or 7.85(0) seen or 850 seen or 0.85(0) seen M1 7 kilograms 850 grams A1 SC2 7.85(0) kilograms 7850 grams Additional Guidance 850 may be seen embedded eg Answer 29.75 kilograms 850 grams M1A0 7 kg 850 g seen in working but different answer M1A0 7.2 + 650 with no other creditworthy work M0A0 Q Answer Mark Comments 9(a) (8 – 5) × 4 or 3 × 4 or 12 M1 oe may be implied 18 – their 12 or 6 M1 oe 8 ⩽ their 12 ⩽ 16 may be implied by their correct ft answer 7 (pm) A1ft allow 7.00 (pm) or 19.00 (pm) ft 1 (pm) + their 6 with M0M1awarded Additional Guidance Allow dot, colon, comma, space or no space in time notation 18 – 12 = 6, Answer 6 (pm) M1M1A0 4 × 4 = 16, 18 – 16 = 2, Answer 3 (pm) M0M1A1ft 3 × 5 = 15, 18 – 15 = 3, Answer 4 (pm) M0M1A1ft (5 – 8) × 4 = 12 (reverse subtraction recovered and could go on to score up to M1M1A1ft) (5 – 8) × 4 = 8 (reverse subtraction not recovered but could go on to score up to M0M1A1ft) Q Answer Mark Comments 9(b) Valid explanation or correct calculation B1 eg she hasn’t multiplied 2 by 3 or 3 × 2 = 6 or answer is 18 Additional Guidance A correct calculation may be seen by Sofia’s work It should be 3 × 6 B1 It should be 18 B1 3 × 6 = 18 B1 3 should be 6 B1 Needs to multiply everything in the brackets (by 3) B1 She should have done the brackets first B1 She should have added 4 and 2 first B1 She did 3 × 4 but not 3 × 2 B1 She didn’t use BIDMAS and work out the brackets first B1 Accept highlighting the second 3 as the error (with no subsequent incorrect calculation seen) eg It shouldn’t be + 3 B1 A correct calculation or answer 18 with any or no explanation B1 A correct explanation alongside an incorrect calculation B0 She didn’t use BODMAS / BIDMAS B0 She didn’t expand / multiply out the brackets correctly B0 3 should be 2 B0 It should be 14 B0 The brackets are in the wrong place B0