Download S4 General Test Yourself 2

Mathematics
Department
Clyde Valley High School
1. Solve the equations a) 5x – 3 = 10
2. Find a) 19% of £63
3. Find x in each diagram
a)
b) 12x + 5 = 33
b) 2½% of £300
b)
x
67º
x
78º
x
46º
4. The area of the rectangle shown
is 93 sq.cm. Find the length of
the rectangle and hence find the
perimeter.
93cm2
5. Which of the numbers { -2 , -1 , 0 , 1 , 2 , 3 } satisfy
a) x  2 b) -1 < x < 1 c) x < 0 d) x  2 e) x < -1
6.
Calculate the area and the perimeter of the
shape shown.
4cm
8cm
Mathematics
Department
Clyde Valley High School
7. Evaluate
a) 3.82 b)  94
8. Simplify a) 12 + ( -7 )
d) -7 + ( -2 )
g) 0 – ( -5)
c) 2.23 d) 3 42
e) 0.82
b) -6 – 9 c) 4 – ( - 3 )
e) - 12 + 13 f) -4 – ( -9)
h) -7 – ( -9) + ( -5)
9. Find the areas of the triangles shown.
7.3
15
5.8
9
13
10. Simplify a) 5x + 9y – 5x – 8y
b) 8t + 11 – 7t - 13
c) 4(3x + 2) + 2(3x –4)
11. The volume of the cube shown is 653cm3.
a) Find the length of the side of the cube
b) Find the total surface area of the cube.
7.6
Mathematics
Department
Clyde Valley High School
12. A painter earns £ 24000 per annum. He
receives a pay rise of 5%. Find his new annual
salary.
13. Find all the angles in each of the rectangles shown.
a)
b)
37º
74º
14. Solve the equations a) 5(2x-3) = 17
b) 4(2x+1) = 19
15. Write down all the factors of 120.
16. Plot the points A(-6,3) , B(4,7) and C(6,2) . Find D if
ABCD is a rectangle. Draw the rectangle.
Mathematics
Department
Clyde Valley High School
17. Write the following numbers as products of prime numbers.
a) 24 b) 30 c) 50 d) 42 e) 60
18.
6cm
The diagram shows 5 coloured discs that are to be cut from a
rectangular sheet of cardboard.
Find a) The area of the cardboard.
b) The area of the circles.
c) The amount of cardboard wasted.
d) The percentage waste.
[ Note the percentage waste is given by %Waste =
waste
 100 % ]
totalarea
19. A car costs £27500 new. In a sale it is
reduced by 12%. Find the sale price of the
car.
20. The perimeter of the rectangle shown is 73cm. Make an
equation and find x.
6
2x + 3