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Mathematics
Department
Clyde Valley High School
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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?