Mathematics
Department
Clyde Valley High School
1. Solve the equations 4x + 3y = 11
y = 2x – 3
2. Remove the brackets
(2x + 1)(3x2 – 7x + 4)
3.
a) Calculate the perimeter of the
shape shown.
b) Find the shaded area.
6cm
← ( quarter circle on the end)
11cm
4.
On square paper draw the line x + y = 11. On the same
diagram draw the line x - y = 5. Find the point where the
two lines meet.
5.
d=6
7
4
9
Calculate the volume of the shape shown in the diagram.
Mathematics
Department
Clyde Valley High School
2
(T + 10) , change the subject of the formula to T .
3
Hence find T if P = 55.
6. If P =
7. If f(x) = 9x – 5 find the values of f(10) and f(-2.5).
If f(t) = 22, find t.
8.
Use similar triangles to find x.
x
3·2
7·6
4
9.
Find x correct to 1 decimal place.
x
4
41º
10. Simplify (2x-3)(x-3) – 2(x+1)(x+2)
26cm
11. Find the area of the
trapezium shown.
21cm
19cm
17cm
Mathematics
Department
Clyde Valley High School
12. Solve the equations
5x – 3y = 16
3x + 4y = -2
13. If f(x) = x3 – 7 and f(t) = 12 , find t.
14.
Find x correct to 1 decimal place.
x
11
5
11
15. Factorize fully
b) x2 – x – 56 c) 4x2 – 4x
a) 9x2 – 400
16. The diagram shows a closed cylinder.
Calculate
a) The volume of the cylinder
b) The total surface area.
10cm
8cm
17.
Calculate the area and the perimeter of the
semi circle shown in the diagram.
13cm
Mathematics
Department
Clyde Valley High School
18. Solve the equation (x+5)2 = x(x + 8)
19.
Use similar triangles to find x.
56
64
43
37
x
20.
Find angle x correct to 1 decimal
place.
x
2.3
3.1
1.4
1.7
2.6
4·5
68º
5
21. The data shows the rainfall in mm on 13 consecutive days.
a) Find the quartiles and draw a boxplot
b) Calculate the mean and the standard deviation.
1.2
0.7
0.4
1.9
2.1
Mathematics
Department
Clyde Valley High School
1.5
2.4
0.9