New Generation International schools
Math. Department/Summer course
Year: 8
Name/ ---------------------------------- Revision pack
1.Do not use a calculator for this question.
Show that √40 is between 6 and 7. DAY 1
2.Write whether each of these numbers is an integer or a surd .
√35 √36 √49 √1000 √81
3.Without using a calculator, estimate
√80 to the nearest integer
4.Without using a calculator, estimate
3
√60to the nearest integer.
5. Write these numbers in standard form.
a 226 million b 2.6 billion c 0.000 025 7
6. These numbers are in standard form. Write each number in full and word form.
.
3
a 5.4 × 10
b 1.41 × 104
7. These numbers are in standard form. Write each number in full
a 2.337 × 10-4
b 8.725 × 10-3
8. Do these addition. Write the answers in standard form.
a 4.5 × 10-6 + 3.1 × 10-6
9. Do these subtraction. Write the answers in standard form.
b 5.12 × 10-5 - 2.9 × 10-5
New Generation International schools
Math. Department/Summer course
Year: 8
10. Write each number as a fraction. DAY 2
a 4-1
b 2-3
c 9-2
1. Write each number as a fraction.
a 6-3
b 10-4
c 2-5
2.
When x = 2, find the value of
a x2
b x-2
3.When x = 5, find the value of
a x0
b x-3
4.Write down 82 as a power of 2
5.Write down 8-2 as a power of 2
6.Work out the value of each expression when x = 6, y = 3 and z = -4.
7.Write an expression for the perimeter and area of this rectangle.
8.Simplify each expression. Expand and simplify each expression.
a (x + 8)(x + 5)
b (x - 3)(x + 7)
9.Simplify each expression. Expand and simplify each expression.
a (x + 4)(x - 9)
b (x - 10)(x - 3)
10.Simplify each expression. Expand and simplify each expression.
New Generation International schools
Math. Department/Summer course
Year: 8
a (x - 7)(x + 7)
b (x - 6)2
1. DAY 3
2.
3.
4.
5.
New Generation International schools
Math. Department/Summer course
Year: 8 DAY 4
1. Work out the value of each expression when w = 7, x = 2, y = -3 and z = -2.
a 3(w + x)
b x(2w - y)
c z(2w - y)
2. Work out the value of each expression.
3. Write an expression, in terms of x, for the perimeter of the shape. Write each expression in
its simplest form.
4. Write an expression, in terms of x, for the perimeter and area of the shape. Write each
expression in its simplest form.
New Generation International schools
Math. Department/Summer course
Year: 8
5.
New Generation International schools
Math. Department/Summer course
Year: 8
DAY 5
1.Expand and simplify each expression.
a (x + 5)(x + 2)
b (x + 4)(x - 2)
c (x - 6)(x + 3)
d (x - 3)(x - 3)
e (x + 5)(x + 10)
f (x - 5)(x - 8)
g (x - 5)(x + 10)
h (x + 5)2
New Generation International schools
Math. Department/Summer course
Year: 8
2.Simplify these expressions. Make sure you factorise the numerator
before you cancel with the denominator.
