FOUNDATION REVISION. 1. Simplify. (a) c + 4c + 2c ... (b) d d d ... 3p + 5q 2p + q ...

Transcription

1 UNIT 2 FOUNDATION REVISION 1. Simplify c + 4c + 2c d d d (c) 3p + 5q 2p + q 2. Use these words to label each angle, then use a PROTRACTOR to measure each one. Acute Full-turn Obtuse Reflex Right Straight Answer... angle Answer... angle PAGE 1 OF 10

2 (c) Answer... angle (d) Answer... angle 3. At a cafe a cup of coffee costs 75p. Write down an expression for the cost, in pence, of x cups of coffee....pence (i) The cafe sells twice as many cups of tea as it does cups of coffee. Write down an expression for the number of cups of tea sold when x cups of coffee are sold.... (ii) Each cup of tea costs 50p. Write down an expression for the cost, in pence, of the cups of tea sold....pence (c) The cafe also sells cakes and buns. Write down an expression for the cost, in pence, of y cakes at 40p each and 3 buns at 60p each....pence PAGE 2 OF 10

3 4. This triangle has two equal sides. b Not drawn accurately 70 a What name is given to this type of triangle?.. Find the values of a and b Answer a =... degrees, b =... degrees 5. Write the number four thousand three hundred and sixty-seven in figures. Work out (i) (ii) (c) Write the number 687 to the nearest 10. Answer... PAGE 3 OF 10

4 (d) The number 240 is divided by 10. What is the value of the digit 2 in the new number? 6. The map shows the temperatures at sunset in five cities in the British Isles. In which city is the temperature the lowest?... How much higher is the temperature in Dublin than the temperature in Edinburgh?.... C (c) The temperature in Cardiff at midday is 10 C higher than it is at sunset. What is the temperature at midday in Cardiff?.... C (d) The temperature in Edinburgh at midnight is 3 C lower than it is at sunset. What is the temperature at midnight in Edinburgh?.... C PAGE 4 OF 10

5 7. Choose the word from this list which describes an angle of 97. acute right angle obtuse reflex Answer... (1) Not drawn accurately x Calculate the value of x. Answer x =...degrees 8. Write seven million in figures.... (1) Write seven thousand and eighty-four in figures (c) Write 8736 to the nearest (i) Simplify n + 3p n + 7p (ii) Simplify 2n 5n PAGE 5 OF 10

6 Afzal scored x marks in a test. (i) Ben scored 3 more marks than Afzal. Write an expression for Ben s score in terms of x.... (ii) Jason scored half of Afzal s marks. Write an expression for Jason s score in terms of x Estimate 97 giving your answer to the nearest whole number. Jean says 97 is an odd number. When you multiply any number by 97 you always get an odd number. Give an example to show that Jean is wrong. (c) Work out the cube of Work out the difference between the two square numbers in this list of numbers The midday temperatures at different ski resorts are shown. Aspen 1 C Breckenridge 12 C Wengen 9 C Soldeu 5 C La Plagne 3 C What is the difference in temperature between Aspen and Wengen? C The temperature at midnight in Soldeu is 7 degrees lower than the temperature at midday. What is the temperature in Soldeu at midnight? C PAGE 6 OF 10

7 13. Here is a list of numbers From this list, write down two numbers which have a total of 100, two numbers which have a difference of 50, (c) the number which is a multiple of 7, Answer.. (d) the number which is the product of 5 and 9. Answer The diagram shows 3 angles on a straight line AB. Not drawn accurately A 60º 70º xº B Work out the value of x... Answer... degrees The diagram shows 3 angles meeting at point. 110º Not drawn accurately 130º yº Work out the value of y. Answer... degrees PAGE 7 OF 10

8 (c) 66º Not drawn accurately 72º zº Work out the value of z.. Answer... degrees 15. Simplify the following 3x + 2x x.. 5x + 3y 2x + 4y.. (c) 3 a Write down all the factors of 8. Write down any 3 multiples of 8 (c) The first four square numbers are 1, 4, 9, 16. Write down the ninth square number. PAGE 8 OF 10

9 17. Which two of these fractions are equivalent to 4 1? people go on a coach holiday. Each coach will seat 53 people.... How many coaches are needed?..... How many seats will be empty? Ali buys some red roses for his girlfriend. They cost 85 p each. How many red roses can he buy for 10? How much change does he have? pence PAGE 9 OF 10

10 20. B 3.4 cm 2.7 cm A 5.2 cm Give the mathematical name of this shape. (c) (d) Mark with X s two sides which are parallel. Mark with Y s two sides that are perpendicular. State whether angle A is acute, obtuse or reflex. (e) State whether angle B is acute, obtuse or reflex. 21. Here is a list of numbers From this list, write down a multiple of 7,... the two factors of 24,... (c) a square number,... (d) a prime number.... PAGE 10 OF 10