Pre Public Exam Paper 3 June 2016 Foundation Tier AQA Style

Transcription

1 Name Class Question Mark Maximum mark Pre Public Exam Paper 3 June 2016 Foundation Tier AQA Style Calculator Paper Time 1 hour 30 minutes Marks Available Commissioned by The PiXL Club Ltd Total 80

2 1 Which of these is a prime number? Circle your answer Which shape has exactly order of rotational symmetry two and is a quadrilateral? Circle the correct letter. A B C D

3 3 Here are nine numbers (a) What is the mode of the nine numbers? Circle your answer (b) What is the range of the nine numbers? Circle your answer Turn over for the next question

4 4 Bags 1, 2, 3 and 4 contain cards with numbers on them. Bag A Bag B Bag C Bag D A card is picked at random from each bag. 4 (a) Which bag gives the least chance of picking a B? You must show your working. [2 marks] Bag 4 (b) Which two boxes give the same chance of picking a C? Bag and Bag

5 5 160 male pupils and 240 female pupils were asked what their favourite subject was. Altogether! of people said mathematics was their favourite subject.!!! of the female pupils chose mathematics. What fraction of the male pupils chose mathematics? [4 marks] Answer 6 Sharon is booking flights for her holiday. The flights cost 480. Sharon pays a deposit of 75 for the flights then she will pay 45 per month. How many months will it take before she has paid for the flights? [3 marks] Answer months

6 7 Work out the value of 4a + 7b when a = 7 and b = 3 [2 marks] Answer 8 The points ( 2, 2) and (1, 3) are two adjacent points of a square. Work out the coordinates of the other two corners of the square. [2 marks] Answer (, ) and (, )

7 9 Rob records the types of medals won by each country in the Olympics. Great Britain France Great Britain win 32 medals in total. France won 48 medals in total. 9 (a) Work out how many Bronze Medals Great Britain won. [2 marks] Answer 9 (b) The angle for the number of Bronze medals won by France is half that of Great Britain. Rob says, This means that France won half the number of Bronze medals that Great Britain won Is he correct? You must show your working. [2 marks] Answer

8 10 In a survey, the distance that a house is away from the town centre is recorded. The average house prices for each distance is shown below. Distance (miles) Price ( 000s) (a) Draw a graph to show the price of a house for distance from 5 miles to 40 miles. [2 marks]

9 10 (b) Estimate the price of a house which is 25 miles away from the town centre. Answer (c) How much more expensive is a house which is 20 miles away from the town centre compare to a house that is 35 miles away. [2 marks] Answer 000

10 11 Pandas are either in zoos or in the wild. The number of Pandas in zoos to the number of Pandas in the wild is in the ratio of 1: 1!! respectively. 11 (a) What fraction of Pandas are in the wild? [2 marks] Answer 11 (b) There are 3000 Pandas in zoos. How many Pandas are there in total in the world? [2 marks] Answer

11 12 A sequence of patterns uses white squares and grey squares. Here are the first three patterns. Pattern 1 Pattern 2 Pattern 3 12 (a) Work out the total number of squares in Pattern 50. [3 marks] Answer

12 12 (b) Complete this number machine for the sequence of patterns. Number of black squares à à + à Number of white squares

13 13 The price of 4 tickets for a concert is Work out the cost of 19 tickets. [2 marks] Answer 14 Alex and Chris are going on holiday. The have a total of 500 for this holiday. Here are their two options. Bargain Breaks Normal Price 35 per person per night Special Offer 15% off Value Vacations Number of Nights Price per Person 1 3 nights nights nights nights 25 Work out the maximum number of nights that they can afford for each company. Show working to compare the maximum number of nights for both options. [5 marks] Answer

14 15 Solve 5 x + 2 = 27 [3 marks] x = 16 Jo only plants Roses or Violets in her garden. She currently has 27 roses and 63 violets. Jo buys 30 more plants for her garden. The number of Violets is now! of the total plants Jo has! planted. How many of the 30 plants were Roses? [4 marks] Answer

15 17 The table shows the how many days pupils in 11H have been ill over the past year. Days III Frequency Total 30 Pupils who have had more days off than the mean mark will be sent a letter. How many pupils will be sent a letter? You must show your working. [3 marks] Answer

16 18 Work out the cube root of 27 thousand. Circle your answer a = 4 3 and b = 5 2 Circle the vector a b Circle the decimal closest in value to!!

17 21 When x! 25 = 0 the only value that x can be is 5 True False Reason 22 In 2005 a car cost In 2013 the same car now costs Work out the percentage decrease in the cost of the car. Give your answer to one decimal place. [3 marks] Answer %

18 23 Use ruler and compasses to answer this question. The region R is Closer to N than O Less than 7cm from M P O N M Shade the region R on the diagram. [3 marks]

19 24 (a) Use your calculator to work out (!".!"!!.!! )!!.!"#$ Answer (b) Use approximations to check that your answer to part (a) is sensible. You must show your working. [2 marks]

20 25 Three campsites, A, B and C, contain only Caravans or Tents. The different campsites have the following proportion of Caravans. A Caravans : Tents = 9: 41 B Caravans = 18.5% C Caravans =!!" Which campsite has the greatest proportion of Caravans? You must show your working. [3 marks] Answer

21 26 y = x Which graph shows this? Circle the correct letter. A B C D

22 27 A bag of sweets that has toffees, mints, chews and lollies. Toffee Mint Chew Lolly Frequency 12 x + 7 x 5 3x + 1 A sweet is chosen at random. The probability it is toffee is!"!"" Work out the probability it is a lolly. [4 marks] Answer

23 28 The price of a new Porche 911 is Every year you own it, the value decreases by 6% For example, after 3 years, the Porche will be worth 6% less than after 2 years. What is its value after 4 years? Give your answer to 2 significant figures. [4 marks] Answer

24 29 ABC is a triangle with AE=DE AB is parallel to CDE Show that the angle marked x is [3 marks] END OF QUESTIONS