Predicted Paper 1 March 2015 Foundation Tier OCR Style

Transcription

1 Name Class Predicted Paper 1 March 2015 Foundation Tier OCR Style Non Calculator Time 1 Hour 30 Minutes Marks Available 100 Commissioned by The PiXL Club Ltd PiXL Club

2 - 2 - PiXL Club

3 Question 1 The square is drawn on a centimetre squared grid. (a) Find the area of the square. This solid is made from one-centimetre cubes. cm 2 FRONT ELEVATION SIDE ELEVATION (b) Write down the volume of the solid... cm PiXL Club

4 (c) Using the 3D diagram in part (b), Draw and label three diagrams to represent the SIDE ELEVATION, FRONT ELEVATION and PLAN (3) (Total 5 marks) Question 2 (a) Write 4 10 in its simplest form. (b) Work out 2 9 of 180. (c) Which of these fractions is equivalent to 1 2? PiXL Club (Total 5 marks)

5 Question 3 (a) Work out You must show all your working... (b) A restaurant shares 345 in tips between the 15 waiters fairly so they get the same amount each. How much will each waiter get? You must show all your working.. (Total 4 marks) Question 4 (a) Work out (15 3) 2. (b) Work out (Total 2 marks) PiXL Club

6 Question 5 Using the information that 5.8 x 34 = write down the value of (a) (b) (Total 2 marks) Question 6 (a) Write down the coordinates of the point P. (...,...) (b) Write down the coordinates of the point Q. M is the midpoint of the line from Q to P. (...,...) (c) Find the coordinates of M. (...,...) (Total 3 marks) PiXL Club

7 Question 7 City Temperature Cardiff 2 C Edinburgh 4 C Leeds 2 C London 1 C Plymouth 5 C The table gives information about the temperatures at midnight in 5 cities. (a) Write down the lowest temperature. (b) Work out the difference in temperature between Cardiff and Plymouth.... C (c) Work out the temperature which is halfway between 1 C and 5 C.... C... C (Total 3 marks) PiXL Club

8 Question 8 This stem and leaf diagram shows the times, in seconds, taken to run 100m by 25 students Key 13 3 = 13.3 For these times, find (a) The mode...secs (b) The range (c) The median...secs...secs (Total 3 marks) PiXL Club

9 Question 9 The diagram shows a circle, centre O. O B A (a) Mark a point on the circumference and label it P (b) Explain how you know the line AB is NOT a diameter of the circle. (c) What is the mathematical name of the line AB (Total 3 marks) Question 10 Work out an estimate for the value of PiXL Club (Total 2 marks)

10 Question 11 (a) Simplify the following : (i) 2f + 3f +5f.. (ii) 3b + 5c + 6b 2c (b) Solve these equations (i) 4x = 20.. (ii) x +7 = 15.. (iii) 2x -5 = 6.. (c) Find the value of 3t + 7x when t = 2 and x = PiXL Club (Total 9 marks)

11 Question 12 Adam buys a second hand car for He pays a 20% deposit. The balance has to be paid in 12 equal payments. How much was each of the 12 payments? You must show ALL your working... (Total 4 marks) PiXL Club

12 Question 13 (a) Here is a list of numbers From the list of numbers, write down (i) a multiple of 6 (ii) a factor of (iii) a square root of (b) Scott says If you add two different square numbers, you will always get an even number. Show that Scott is wrong.... (3) (Total 5 marks) PiXL Club

13 Question 14 (a) Express the following numbers as products of their prime factors. (i) 90 (ii) (b) Find the Highest Common Factor (HCF) of 90 and (Total 6 marks) PiXL Club

14 Question 15 Find the output from this number machine when the input is 8. Input add 10 Divide by 2 output (Total 1 mark) Question 16 (a) Expand and simplify 3(2x +5y) + 4(x 2y) (b) Factorise 3x + 18 (Total 3 marks) PiXL Club

15 Question 17 Here are Claire s maths test scores Calculate the mean. (Total 3 marks) PiXL Club

16 Question 18 A bag contains counters which are red or green or yellow or blue. The table shows each of the probabilities that a counter taken at random from the bag will be, but the entry for Yellow is missing. Colour Red Green Yellow Blue Probability A counter is to be taken at random from the bag. (a) Work out the probability that the counter will be Yellow (b) Work out the probability that the counter will be red or green..... (Total 3 marks) PiXL Club

17 Question 19 Enlarge the shape below by scale factor 3. (Total 2 marks) PiXL Club

18 Question 20 The table shows part of a bus timetable from Shotton to Alton. Shotton Crook Prudhoe Hexham Alton A bus leaves Shotton at (a) What time should it arrive at Alton? Another bus leaves Prudhoe at (b) How many minutes should it take to get to Hexham? Serena lives in Crook. She has to be in Hexham by quarter past minutes (c) What is the time of the latest bus she can catch from Crook to arrive in Hexham by quarter past 11?... (Total 3 marks) PiXL Club

19 Question 21 Sophie uses a pedometer to record the number of steps she takes each day for one month. Her results are summarised in the table below. Steps per day (s) Frequency 6000 s < s < s < s < s < s < (a) Draw a bar chart to display this information. (3) (b) Write down the modal class of the number of steps per day PiXL Club (Total 4 marks)

20 Question 22 (a) Jane wants to find out how much time people spend watching the Olympics when the Games are on TV. She needs to design a questionnaire. Make up a suitable question for her questionnaire. (b) Jane now needs to record her data from the questionnaire. Design a data capture sheet for her to collect the data. (3) (Total 5 marks) PiXL Club

21 Question 23 (a) Here is a regular pentagon. What fraction of the pentagon is shaded? (b) Here is a shape.... What percentage of the shape is not shaded? (c) Here is a different shape.... % Shade 3 2 of this shape. (d) Here are some fractions Which two of these fractions are not equivalent to and... (Total 5 marks) PiXL Club

22 Question 24 On the grid draw the graph of x + y = 4 for values of x from 2 to 5 (Total 3 marks) PiXL Club

23 Question 25 (a) Work out (b) Work out (c) Some students each study ONE modern foreign language. 2 of the students study French. 3 1 of the students study Spanish. 4 The rest study Mandarin. What fraction of the students study Mandarin?. (3) (Total 6 marks) PiXL Club

24 Question 26 Here are the first five terms of an arithmetic sequence (a) Find the next term of this sequence. (b) Find, in terms of n, an expression for the nth term of this sequence.. (c) Paul says that 73 is a term in this sequence. Paul is wrong, explain why. (Total 4 marks) PiXL Club

25 Question 27 Diagram NOT accurately drawn (a) Write down the value of x.. (b) Give a reason for your answer (Total 2 marks) END OF PAPER PiXL Club