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AQA Foundation Practice Paper 1a Q1. A plane travels at a speed of 213 miles per hour. (a) Work out an estimate for the number of seconds the plane takes to travel 1 mile. ........................................................... seconds (3) (b) Is your answer to part (a) an underestimate or an overestimate? Give a reason for your answer. ............................................................................................................................................. ............................................................................................................................................. (1) (Total for question = 4 marks) Q2. Emma has 45 rabbits. 30 of the rabbits are male. 8 of the female rabbits have short hair. 12 of the rabbits with long hair are male. (a) Use the information to complete the two-way table. (3) One of Emma's rabbits is chosen at random. (b) Write down the probability that this rabbit is a female with short hair. ........................................................... (1) (Total for question = 4 marks) Q3. The numbers 1, 2, 4, 7, 8, 9, 10, 11 and 12 are put into a Venn diagram. The number 3 is in set Q but not in set P. The number 6 is in both set P and set Q. (a) Complete the Venn diagram. (2) A student chooses at random a number in the completed Venn diagram. (b) Write down the probability that this number is not in Set Q. ........................................................... (2) (Total for question = 4 marks) Q4. Here are some patterns made from sticks. (a) In the space below, draw Pattern number 4 (1) (b) Complete the table. (1) (c) How many sticks make Pattern number 15? ........................................................... (1) Maria wants to work out how many sticks make Pattern number 50 (d) Write down a method she can use. ............................................................................................................................................. ............................................................................................................................................. ............................................................................................................................................. (1) (Total for Question is 4 marks) Q5. On the grid, draw the graph of y = 2x – 3 for values of x from –2 to 2 (Total for Question is 3 marks) Q6. * The normal price of a denim shirt at a shop is £9.60 On Special Offer Day, there is off the normal price. Billy has £13 Has he enough money to buy two denim shirts on Special Offer Day? You must show all your working. (Total for Question is 4 marks) Q7. * Triangle ABC is a right-angled triangle. ADB is a straight line. DA = DC Angle BCD = 20° Work out the size of the angle marked x. You must give reasons for each stage of your working. (Total for Question is 4 marks) Q8. David is going to buy a cooker. The cooker has a price of £320 David pays a deposit of 15% of the price of the cooker. How much money does David pay as a deposit? £ ........................................................... (Total for Question is 2 marks) Q9. (a) Work out 50% of 86 .............................................................................................................................................. (1) (b) Work out 3 + 5 × 2 .............................................................................................................................................. (1) (c) Write down an estimate for .............................................................................................................................................. (1) (Total for Question is 3 marks) Q10. There are only 7 blue pens, 4 green pens and 6 red pens in a box. One pen is taken at random from the box. Write down the probability that this pen is blue. ........................................................... (Total for question = 2 marks) Q11. (a) Work out ........................................................... (2) (b) Work out Give your answer as a fraction in its simplest form. ........................................................... (2) (Total for question = 4 marks) Q12. Ruth is 1.23 m tall. Lee is 6 cm shorter than Ruth. How tall is Lee? ........................................................... (Total for question = 2 marks) Q13. Here are some prices in a café. Jack orders 2 teas 1 coffee 1 toast 1 bacon sandwich Jack only has a £10 note. Does he have enough money to pay the bill? You must show how you get your answer. (Total for question = 3 marks) Q14. The diagram shows a circle and two straight lines. The straight line inside the circle goes through the centre of the circle. (a) Write down the mathematical name of this straight line. ........................................................... (1) The straight line outside the circle touches the circle at one point. (b) Write down the mathematical name of this straight line. ........................................................... (1) Here is a circle centre O. (c) In the circle, draw a sector of the circle. (1) (Total for question = 3 marks) Q15. (a) Solve t + t + t = 12 t = ........................................................... (1) (b) Solve x – 2 = 6 x = ........................................................... (1) (c) Solve 6w + 2 = 20 w = ........................................................... (2) (Total for question = 4 marks) Q16. The perimeter of a square has the same length as the perimeter of this triangle. All measurements are in centimetres. Find an expression, in terms of x, for the length of a side of the square. Give your answer in its simplest form. ........................................................... (Total for question = 3 marks) Q17. (a) Work out the value of 5×2+8 .............................................................................................................................................. (1) (b) Work out the value of (13 – 6) × 2 .............................................................................................................................................. (1) (Total for Question is 2 marks) Q18. Ed has 4 cards. There is a number on each card. The mean of the 4 numbers on Ed's cards is 10 Work out the number on the 4th card. ...................... (Total for Question is 3 marks) Q19. Write these numbers in order of size. Start with the smallest number. 2.5 × 102 0.0025 2.5 × 10−2 2500 ............................................................................................................................................. (Total for question = 2 marks) Q20. Penelope is going to cook a chicken. She uses this rule to find the cooking time. The chicken has a weight of 2 kg. Penelope wants to finish cooking the chicken at 12 30 pm. What time should Penelope start cooking the chicken? ........................................................... (Total for question = 4 marks) Q21. There are 28 red pens and 84 black pens in a bag. Write down the ratio of the number of red pens to the number of black pens. Give your ratio in its simplest form. ........................................................... (Total for question is 2 marks) Q22. (a) Simplify (p3)2 ........................................................... (1) (b) Simplify t8 ÷ t3 ........................................................... (1) 23 × 2n = 29 (c) Work out the value of n. ........................................................... (1) (Total for Question is 4 marks) Q23. Robin buys a watch for £80 He sells the watch for £56 Work out his percentage loss. ........................................................... % (Total for question = 3 marks) Q24. Only blue vans and white vans are made in a factory. The ratio of the number of blue vans to the number of white vans is 4 : 3 (a) Write down the fraction of vans that are blue. ........................................................... (1) For blue vans, the number of small vans : the number of large vans = 3 : 5 (b) Work out the fraction of the number of vans made in the factory that are blue and large. ........................................................... (3) (Total for question = 4 marks) Q25. Ali and Beth divide £280 in the ratio 2 : 5 Work out how much each person gets. Ali £ ........................................................... Beth £ ........................................................... (Total for question = 2 marks) Q26. Describe the single transformation that maps shape A onto shape B. ............................................................................................................................................. ............................................................................................................................................. (Total for question = 2 marks) Mark Scheme Q1. Q2. Q3. Q4. Q5. Q6. Q7. Q8. Q9. a) 43 b) 13 c) 7.5 – 7.9 Q10. (A1) (A1) (A1) Q11. Q12. Q13. Q14. Q15. Q16. Q17. Q18. Q19. Q20. Q21. Q22. Q23. Q24. Q25. Q26.