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Mathematics Department Clyde Valley High School 1 2 2 3 1. Evaluate 4 2 2. Consider the sequence of numbers 5 , 8 , 11 , 14 , 17 , - , - , - , - , a) Write down the next three terms b) Write down a formula for the nth term. c) Find the 45th term. 3. Without using a calculator evaluate 3.6 – 8.52 + 5.21 4. Solve the equation 12x = 7x + 55 5. Choose replacements from the set { -5 , -4 , -3 , -2 , -1 , 0 } which satisfy a) x -2 b) -3 < x < -1 c) 2x + 1 > -6 6. The area of the rectangle shown is 200 cm2. Make an equation and find x. Hence find thex perimeter of the rectangle. 2x 7. A farmer has 300m of fencing. He decides to make a circular field. Find a) radius b) area of the field. Mathematics Department Clyde Valley High School 8. Simplify the expression 4x( x + 4) + 3x(5 – x) 9. Find all the angles in the diagram below. 31° 53° 10. If x = -4 , y = -10 and t = 5 find the value of x – y – t. 11. Find an expression for a) volume b) total surface area of the shape shown. 2x x 4x 12. Calculate the shaded area. 4cm 11cm Mathematics Department Clyde Valley High School 13. Write down all the factors of the number 48. 14. Evaluate a) 3.32 b) √ 200 c) 2.23 d) 3√ 125 15. Find all the angles in the rectangle shown. 56° 16. Calculate the area and the perimeter of the shape shown in the diagram. 4cm 17. Round off the number 234.6753 to a) 2 decimal places b) 2 significant figures. 18. Simplify a) 5(2x+3) – 9x b) 5x -3(2x-3) 19. A ship leaves a port and sails 80 miles west. It then turns and sails 80 miles north. What is the 3 figure bearing and the distance of the ship from the port? Mathematics Department Clyde Valley High School 20. Solve the inequation -2x – 1 < x + 26 21. Ice cream is sold in cartons in the shape of a cube. If a carton of side 10cm full of ice cream costs £1.24, what do you think you should pay for a carton of side 15cm, full of ice cream? 22. A doctor earns £40000 after receiving a pay rise of 2%. What did he earn before the pay rise? 23. A red light flashes every 30 seconds while a green light flashes every 20 seconds. How many times will they flash together in a day?