What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
48
1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Subtract the 4th from the 9th multiples of:
5
25
What are the names of regular polygons with:
a) six sides;
b) seven sides;
c) eight sides.
Hexagon, Heptagon and Octagon (all regular)
Round to three significant figures:
a) 63.44; 63.4
b) 123906; 124000
c) 16; 16.0
d) 0.001695; 0.00170
Find the area of a triangle that has a base of 3cm and a height of 8cm.
12cm2
Find the area of a trapezium that has a base of 9cm, a height of 8cm and a top (parallel to base) of 3cm. 48cm2
Evaluate:
\( \frac{3}{5} + \frac{7}{9}\) \(= 1\frac{17}{45}\)
Evaluate:
\( \frac{2}{4} × \frac{5}{7}\) \(= \frac{5}{14}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{6}{5}\) \(= \frac{5}{12}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage to 3 significant figures.
\( \frac{1}{3}\) \(= 33.3\)%
Find the area of a circle that has a radius of 5cm. Give your answer to three significant figures.
78.5cm2
Find the circumference of a circle that has a radius of 6cm. Give your answer to three significant figures.
37.7cm
Calculate the value of:
7.6 + 2.4
= 10
Calculate the value of:
7.2 − 2.8
= 4.4
Calculate the value of:
7.7 × 8.3
= 63.91
Calculate the value of:
66 ÷ 15
= 4.4
What is the value of:
43
= 64
What is the value of:
\(4^{1}\)
\(= 4\)
Calculate the value of:
69 + 95
= 164
Calculate the value of:
64 − 29
= 35
Calculate the value of:
66 × 48
= 3168
Calculate the value of:
828 ÷ 12
= 69
Find the value of:
20% of 320
= 64
Find the value of:
2.95 × 102
= 295
Find the highest common factor of twenty seven and six.
= 3
9 × 5 = 45 | 7 × 4 = 28 |
6 × 4 = 24 | 3 × 2 = 6 |
4 × 5 = 20 | 8 × 3 = 24 |
5 × 3 = 15 | 2 × 4 = 8 |
7 × 10 = 70 | 3 × 3 = 9 |
6 × 11 = 66 | 8 × 3 = 24 |
9 × 11 = 99 | 5 × 2 = 10 |
4 × 5 = 20 | 2 × 8 = 16 |
8 × 2 = 16 | 5 × 2 = 10 |
9 × 2 = 18 | 4 × 2 = 8 |
3 × 2 = 6 | 6 × 2 = 12 |
7 × 2 = 14 | 2 × 2 = 4 |
3 × 3 = 9 | 9 × 3 = 27 |
4 × 3 = 12 | 5 × 3 = 15 |
8 × 3 = 24 | 6 × 3 = 18 |
7 × 3 = 21 | 2 × 3 = 6 |
7 × 4 = 28 | 6 × 4 = 24 |
8 × 4 = 32 | 3 × 4 = 12 |
5 × 4 = 20 | 9 × 4 = 36 |
4 × 4 = 16 | 2 × 4 = 8 |
7 × 5 = 35 | 3 × 5 = 15 |
8 × 5 = 40 | 5 × 5 = 25 |
4 × 5 = 20 | 9 × 5 = 45 |
6 × 5 = 30 | 2 × 5 = 10 |
7 × 6 = 42 | 4 × 6 = 24 |
9 × 6 = 54 | 5 × 6 = 30 |
8 × 6 = 48 | 3 × 6 = 18 |
6 × 6 = 36 | 2 × 6 = 12 |
6 × 7 = 42 | 3 × 7 = 21 |
9 × 7 = 63 | 7 × 7 = 49 |
5 × 7 = 35 | 8 × 7 = 56 |
4 × 7 = 28 | 2 × 7 = 14 |
6 × 8 = 48 | 5 × 8 = 40 |
3 × 8 = 24 | 8 × 8 = 64 |
7 × 8 = 56 | 4 × 8 = 32 |
9 × 8 = 72 | 2 × 8 = 16 |
9 × 9 = 81 | 4 × 9 = 36 |
8 × 9 = 72 | 6 × 9 = 54 |
5 × 9 = 45 | 7 × 9 = 63 |
3 × 9 = 27 | 2 × 9 = 18 |
9 × 12 = 108 | 4 × 12 = 48 |
6 × 12 = 72 | 8 × 12 = 96 |
5 × 12 = 60 | 7 × 12 = 84 |
3 × 12 = 36 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{27}{54}\) \(= \frac{1}{2}\)
Evaluate:
\( 1\frac{2}{3} − \frac{5}{6}\) \(= \frac{5}{6}\)
Find BC if AB = 3.4m and AC = 4.9m. 5.96m
Find angle ABC if AC = 4.2m and AB = 5.7m. 36.4o
Find BC if angle BCA = 52o and AB = 5.4m. 6.85m
Give your answer in Roman numerals.
2
Give your answer in Roman numerals.
2
Give your answer in Roman numerals.
2
Convert this fraction to a decimal to 3 significant figures.
\( \frac{4}{9}\) \(= 0.444\)
Convert this decimal to a fraction.
\(0.3\) = \( \frac{3}{10}\)
Increase £40 by 35%
£54
What is the lowest common multiple of eight and twenty eight.
= 56
2,8,14,20,26...
Find the:
a) next term; 32
b) nth term; 6n - 4
c) term number 53; 314
7,28,112,448,1792...
Find the:
a) next term; 7168
b) nth term; 7 × 4n-1
c) term number 10; 1835008
If £240 is invested for 4 years with a simple interest rate of 1%, find the amount of interest earned. £9.60
If £120 is invested with an interest rate of 1% compounded annually, find the value of the investment after 6 years. £127.38
If £1 is worth $1.29, convert:
a) £200 to dollars; $258.00
b) $240 to pounds; £186.05
What are the coordinates of the midpoint of the line joining:
\((2,1) \text{ and } (8,11)\)
(5,6)
What is the gradient of the line joining:
\((7,1) \text{ and } (10,6)\)
\(\frac{5}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,1),(6,4),(-1,5)\)
(3,8)
a) 8 − 18 = -10
b) 8 × (-10) = -80
c) (7−18)(6−18) = 132
d) 80 ÷ (-10) = -8
e) (-7)2 = 49
If p = 5, q = 24 and
r = -7 evaluate:
a) 2q − p = 43
b) pq + r = 113
c) p2 − 5q - r = -88
Solve:
\(4x = 28\)
\(x = 7\)
Solve:
\(3x -4= 17\)
\(x = 7\)
Solve:
\(7x +5= 3x + 25\)
\(x = 5\)
Solve:
\(5(5x -4)+7= 162\)
\(x = 7\)
Solve:
\(3(5x + 2)= 2(3x + 2)\)
\(x = -0.222 \text{(to 3 sf)}\)
Solve:
\(5x+2y = 22\)
\(4x-2y = -4\)
\(x = 2, y = 6\)
Solve:
\(4x-5y = -27\)
\(7x+15y = 119\)
\(x = 2, y = 7\)
Solve:
\(3x+2y = -40.5\)
\(5x-7y = 25.5\)
\(x = -7.5, y = -9\)
Find the union of:
{5,6,7,8,9,10} and
{1,3,6,10,15}
{1,3,5,6,7,8,9,10,15}
Find the intersection of:
{5,6,7,8,9,10} and
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 146o. What bearing would it return on from B to A? 326o
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
(15 − 3)2 + 6 × 8
192
Simplify the following by collecting like terms:
\(b+4c-7b+4c\)
\(8c-6b\)
Divide 110 in the ratio
7:3
77 and 33
Draw a rough sketch of the graph of:
\(y=x-1\)
Gradient 1
y intercept -1
Express the following number as the product of prime numbers:
216
2 x 2 x 2 x 3 x 3 x 3
In a sale an item costs £57 after a 5% reduction. What was the original price?
£60
Find the mean, mode, median and range of the following:
5,8,8,6,7,8
Mean = 7, mode = 8,
median = 7.5 and range = 3
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.858585... \(\frac{85}{99}\)
Decrease £140 by 10%
£126
Expand:
\(5(6x-5)\)
\(30x-25\)
Expand:
\((x+2)(2x-1)\)
\(2x^2+3x-2\)
Factorise:
\(28x-63\)
\(7(4x-9)\)
Factorise:
\(x^2-9\)
\((x+3)(x-3)\)
Factorise:
\(4x^2-15x-4\)
\((4x+1)(x-4)\)
Which theorem?
Find the value of:
1.13 × 10-2
= 0.0113
Write in standard form:
349
= 3.49 × 102
Write in standard form:
0.0236
= 2.36 × 10-2
Find the nth term:
\(13, 27, 47, 73, 105, \)
\(3n^2+5n+5\)
Multiply 7 × 104
by 7 × 103 and give the answer in standard form.
= 4.9 × 108
Solve:
\(x^2-x-30= 0\)
\(x = 6\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-2x-4 = 0\)
\(x = 1.12\) and \(-0.717\)
What is the size of each exterior angle of a regular octagon?
45°
Make \(d\) the subject of the formula
$$e=\frac{2d-1}{3}$$
$$d=\frac{3e+1}{2}$$
Calculate the value of:
7893 ÷ 9
= 877
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What are the next three square numbers after
1
4, 9, 16
What are the next three prime numbers after
29
31, 37, 41
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
Calculate \(x\).
Write down these numbers: 7.7, 0.7, 7, 7.07, 0.77, 7.77, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,
Write down these lengths: 17cm, 1.8m, 1.08m, 18mm, 107cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 21cl, 173ml, 18cl, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
e = 69
i = 97
Round to one significant figure:
a) 15.67; 20
b) 633191; 600000
c) 66; 70
d) 0.00768; 0.008
Round each value to one significant figure to make an estimate:$$8.8 \times 82 - 153$$\(9 \times 80 - 200 = 520\)
A pie chart shows the colours of 72 books. What sector angle represents the
14 red books?
70°
What is the equation?
\(y=2x-4\)A pie chart shows the colours of 5 hats. How many green hats are represented
by a sector
angle of 288°?
4
Topics: Starter | Algebra | Arithmetic | Circles | Coordinates | Fractions | Mental Methods | Mixed | Money | Sets | Simultaneous Equations | Tables | Trigonometry
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