What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
27
1, 3, 9, 27.
Subtract the 5th from the 9th multiples of:
5
20
What are the names of regular polygons with:
a) six sides;
b) seven sides;
c) eight sides.
Hexagon, Heptagon and Octagon (all regular)
Round the following numbers to three significant figures:
a) 30.77; 30.8
b) 129142; 129000
c) 0.006195; 0.00620
Find the area of a triangle that has a base of 7cm and a height of 12cm.
42cm2
Find the area of a trapezium that has a base of 14cm, a height of 6cm and a top (parallel to base) of 4cm. 54cm2
Evaluate:
\( \frac{3}{5} + \frac{6}{8}\) \(= 1\frac{7}{20}\)
Evaluate:
\( \frac{3}{5} × \frac{6}{8}\) \(= \frac{9}{20}\)
Evaluate:
\( \frac{1}{3} ÷ \frac{6}{4}\) \(= \frac{2}{9}\)
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.
\( \frac{2}{6}\) \(= 33.3\)%
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 11cm. Give your answer to three significant figures.
69.1cm
Calculate the value of:
3.7 + 6.5
= 10.2
Calculate the value of:
5.3 − 1.8
= 3.5
Calculate the value of:
5.3 × 7.7
= 40.81
Calculate the value of:
59.8 ÷ 13
= 4.6
What is the value of:
43
= 64
What is the value of:
\(1^{0}\)
\(= 1\)
Calculate the value of:
45 + 54
= 99
Calculate the value of:
52 − 26
= 26
Calculate the value of:
69 × 59
= 4071
Calculate the value of:
1064 ÷ 19
= 56
Find the value of:
45% of 100
= 45
Find the value of:
2.8 × 105
= 280000
Find the highest common factor of twelve and four.
= 4
5 × 5 = 25 | 9 × 4 = 36 |
3 × 5 = 15 | 7 × 4 = 28 |
4 × 5 = 20 | 6 × 2 = 12 |
8 × 2 = 16 | 2 × 5 = 10 |
8 × 10 = 80 | 5 × 2 = 10 |
6 × 7 = 42 | 4 × 6 = 24 |
9 × 9 = 81 | 3 × 10 = 30 |
7 × 10 = 70 | 2 × 3 = 6 |
5 × 2 = 10 | 7 × 2 = 14 |
6 × 2 = 12 | 8 × 2 = 16 |
3 × 2 = 6 | 9 × 2 = 18 |
4 × 2 = 8 | 2 × 2 = 4 |
8 × 3 = 24 | 9 × 3 = 27 |
3 × 3 = 9 | 5 × 3 = 15 |
4 × 3 = 12 | 7 × 3 = 21 |
6 × 3 = 18 | 2 × 3 = 6 |
4 × 4 = 16 | 8 × 4 = 32 |
6 × 4 = 24 | 7 × 4 = 28 |
5 × 4 = 20 | 9 × 4 = 36 |
3 × 4 = 12 | 2 × 4 = 8 |
7 × 5 = 35 | 3 × 5 = 15 |
5 × 5 = 25 | 9 × 5 = 45 |
8 × 5 = 40 | 4 × 5 = 20 |
6 × 5 = 30 | 2 × 5 = 10 |
8 × 6 = 48 | 7 × 6 = 42 |
5 × 6 = 30 | 3 × 6 = 18 |
9 × 6 = 54 | 6 × 6 = 36 |
4 × 6 = 24 | 2 × 6 = 12 |
5 × 7 = 35 | 4 × 7 = 28 |
8 × 7 = 56 | 6 × 7 = 42 |
3 × 7 = 21 | 9 × 7 = 63 |
7 × 7 = 49 | 2 × 7 = 14 |
8 × 8 = 64 | 4 × 8 = 32 |
7 × 8 = 56 | 5 × 8 = 40 |
6 × 8 = 48 | 3 × 8 = 24 |
9 × 8 = 72 | 2 × 8 = 16 |
5 × 9 = 45 | 7 × 9 = 63 |
8 × 9 = 72 | 3 × 9 = 27 |
9 × 9 = 81 | 6 × 9 = 54 |
4 × 9 = 36 | 2 × 9 = 18 |
3 × 12 = 36 | 6 × 12 = 72 |
9 × 12 = 108 | 7 × 12 = 84 |
8 × 12 = 96 | 4 × 12 = 48 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{4}{16}\) \(= \frac{1}{4}\)
Evaluate:
\( 2\frac{2}{3} − \frac{6}{7}\) \(= 1\frac{17}{21}\)
Find AB if AC = 5.6m and BC = 6.9m. 4.03m
Find angle BCA if AB = 3.6m and AC = 5.1m. 35.2o
Find AC if angle ABC = 33o and AB = 3.7m. 2.40m
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.
\( \frac{3}{5}\) \(= 0.6\)
Convert this decimal to a fraction.
\(0.16\) = \( \frac{4}{25}\)
Increase £20 by 15%
£23
What is the lowest common multiple of eight and twenty eight.
= 56
7,21,35,49,63...
Find the:
a) next term; 77
b) nth term; 14n - 7
c) term number 32; 441
5,10,20,40,80...
Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 11; 5120
If £100 is invested for 7 years with a simple interest rate of 4%, find the amount of interest earned. £28.00
If £180 is invested with an interest rate of 4% compounded annually, find the value of the investment after 4 years. £210.57
If £1 is worth $1.36, convert:
a) £120 to dollars; $163.20
b) $240 to pounds; £176.47
What are the coordinates of the midpoint of the line joining:
\((0,5) \text{ and } (10,15)\)
(5,10)
What is the gradient of the line joining:
\((7,8) \text{ and } (13,12)\)
\(\frac{2}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,2),(5,5),(-1,5)\)
(2,8)
a) 6 − 18 = -12
b) 6 × (-11) = -66
c) (11−19)(7−17) = 80
d) 66 ÷ (-11) = -6
e) (-7)2 = 49
If p = 6, q = 23 and
r = -6 evaluate:
a) 2q − p = 40
b) pq + r = 132
c) p2 − 5q - r = -73
Solve:
\(3x = 21\)
\(x = 7\)
Solve:
\(2x +7= 25\)
\(x = 9\)
Solve:
\(9x +4= 4x + 49\)
\(x = 9\)
Solve:
\(4(5x +4)-11= 65\)
\(x = 3\)
Solve:
\(4(3x + 3)= 5(3x + 2)\)
\(x = 0.667 \text{(to 3 sf)}\)
Solve:
\(5x+4y = 43\)
\(3x+4y = 29\)
\(x = 7, y = 2\)
Solve:
\(4x+4y = 28\)
\(6x+16y = 62\)
\(x = 5, y = 2\)
Solve:
\(2x+5y = 17\)
\(3x-2y = -22\)
\(x = -4, y = 5\)
Find the union of:
{5,6,7,8,9,10} and
{3,4,5,6,7,8}
{3,4,5,6,7,8,9,10}
Find the intersection of:
{2,4,6,8,10} and
{3,4,5,6,7,8}
{4,6,8}
A plane flies from point A to point B on a bearing of 357o. What bearing would it return on from B to A? 177o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
52 − 4 × 7 + 2
-1
Simplify the following by collecting like terms:
\(6m+7+5m+8\)
\(11m+15\)
Divide 117 in the ratio
3:6
39 and 78
Draw a rough sketch of the graph of:
\(y=-2x\)
Gradient -2
y intercept 0
Express the following number as the product of prime numbers:
1080
2 x 2 x 2 x 3 x 3 x 3 x 5
In a sale an item costs £162 after a 10% reduction. What was the original price?
£180
Find the mean, mode, median and range of the following:
1,2,3,4,5
Mean = 3, no mode,
median = 3 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.363636... \(\frac{4}{11}\)
Decrease £180 by 30%
£126
Expand:
\(8(5x-8)\)
\(40x-64\)
Expand:
\((x+2)(x-2)\)
\(x^2-4\)
Factorise:
\(8x-4\)
\(4(2x-1)\)
Factorise:
\(x^2-2x-3\)
\((x+1)(x-3)\)
Factorise:
\(6x^2-5x-4\)
\((2x+1)(3x-4)\)
Which theorem?
Find the value of:
7.19 × 10-3
= 0.00719
Write in standard form:
7450
= 7.45 × 103
Write in standard form:
0.00966
= 9.66 × 10-3
Find the nth term:
\(14, 25, 40, 59, 82, \)
\(2n^2+5n+7\)
Multiply 7 × 105
by 8 × 104 and give the answer in standard form.
= 5.6 × 1010
Solve:
\(x^2+x-12= 0\)
\(x = 3\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2-x-4 = 0\)
\(x = 1.13\) and \(-0.883\)
What is the size of each interior angle of a regular hexagon?
120°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}-5$$
$$h=4(e+5)$$
Calculate the value of:
7248 ÷ 8
= 906
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What are the three largest square numbers less than
64
49, 36, 25
What are the three largest prime numbers less than
17
13, 11, 7
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: 9.9, 9.99, 9.09, 0.9, 9, 0.99, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,
Write down these lengths: 107cm, 1.8m, 1.08m, 17cm, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 173ml, 21cl, 17cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
f = 132
g = 122
Topics: Starter | Algebra | Arithmetic | Circles | Coordinates | Fractions | Mental Methods | Mixed | Money | Sets | Simultaneous Equations | Tables | Trigonometry
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