MATHEMATICS WORKSHEET
YEAR 8
NAME:
Q1. Round each number to the stated number of significant figures.
a) 281 (1 s.f.) …………………………
b) 28 600 (2 s.f.) …………………………
c) 0.006 09 (2 s.f.) …………………………
Q2.
Simplify each expression.
a) 6x 5 × 6x 5 …………………………
b) 6x 5 + 6x 5 …………………………
c) x 15 ÷ x 5
Q3.
Estimate 30.92
Q4.
a) Write an expression for the perimeter of the hexagon using a bracket.
b) Write an expression for the perimeter of the triangle using a bracket.
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c). Write an expression for the difference between the perimeter of the hexagon
and the perimeter of the triangle.
Q5.
Expand and simplify
6x(2x − 4) − 5(2 + x).
Q6. Find the value of each expression when a = 4 and b = −5
a) 2 + 3a 2 …………………………
b) 5 + (15 − 3b) 2 …………………………
Q7. Solve the equation
20 − 3(2x − 7) = 5(x + 5) – 6.
Q8.The cross-section of a prism is in the shape of a trapezium as shown.
The volume of the prism is 630 cm3 . Work out its length.
Q9. The price of a pair of shoes was £30. The price was reduced to £23.40
Work out the percentage change in price.
Q10.
Triangles ABC and DEC are right-angled triangles.
a) Find an expression for BC in terms of r.
b) Find an expression for BE in terms of r
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c) Find the ratio BE : EC. Simplify this ratio as much as possible.
Q11. Look at the sequence below.
To get the next term in the sequence, subtract 90 from the term before
500, 410 , 320 …..
Write the first two terms of the sequence that are less than zero.
Q12.
3
Q13.
Q14.
Convert
to a fraction.
Q15.
4
5
Q17.
Q18.
6
Q19.
a)
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