What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31
Find all the factors of:
37
1, 37.
Subtract the 6th from the 9th multiples of:
7
21
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) 82.42; 82.4
b) 146137; 146000
c) 0.004195; 0.00420
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 14cm, a height of 10cm and a top (parallel to base) of 4cm. 90cm2
Evaluate:
\( \frac{4}{5} + \frac{8}{10}\) \(= 1\frac{3}{5}\)
Evaluate:
\( \frac{2}{3} × \frac{4}{5}\) \(= \frac{8}{15}\)
Evaluate:
\( \frac{3}{4} ÷ \frac{8}{6}\) \(= \frac{9}{16}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{3}{4}\) \(= 75\)%
Find the area of a circle that has a radius of 11cm. Give your answer to three significant figures.
380cm2
Find the circumference of a circle that has a radius of 5cm. Give your answer to three significant figures.
31.4cm
Calculate the value of:
7.9 + 7.4
= 15.3
Calculate the value of:
8.4 − 3.7
= 4.7
Calculate the value of:
4.4 × 3.8
= 16.72
Calculate the value of:
96.2 ÷ 13
= 7.4
What is the value of:
53
= 125
What is the value of:
\(2^{-3}\)
\(= \frac{1}{8}\)
Calculate the value of:
79 + 45
= 124
Calculate the value of:
84 − 25
= 59
Calculate the value of:
96 × 59
= 5664
Calculate the value of:
901 ÷ 17
= 53
Find the value of:
80% of 140
= 112
Find the value of:
3.56 × 103
= 3560
Find the highest common factor of forty and ten.
= 10
9 × 2 = 18 | 5 × 3 = 15 |
7 × 2 = 14 | 4 × 5 = 20 |
3 × 3 = 9 | 8 × 3 = 24 |
6 × 5 = 30 | 2 × 3 = 6 |
8 × 3 = 24 | 4 × 3 = 12 |
7 × 5 = 35 | 9 × 6 = 54 |
6 × 8 = 48 | 3 × 10 = 30 |
5 × 4 = 20 | 2 × 3 = 6 |
4 × 2 = 8 | 7 × 2 = 14 |
9 × 2 = 18 | 6 × 2 = 12 |
8 × 2 = 16 | 5 × 2 = 10 |
3 × 2 = 6 | 2 × 2 = 4 |
9 × 3 = 27 | 8 × 3 = 24 |
4 × 3 = 12 | 7 × 3 = 21 |
6 × 3 = 18 | 3 × 3 = 9 |
5 × 3 = 15 | 2 × 3 = 6 |
7 × 4 = 28 | 5 × 4 = 20 |
9 × 4 = 36 | 4 × 4 = 16 |
6 × 4 = 24 | 8 × 4 = 32 |
3 × 4 = 12 | 2 × 4 = 8 |
3 × 5 = 15 | 4 × 5 = 20 |
8 × 5 = 40 | 5 × 5 = 25 |
7 × 5 = 35 | 9 × 5 = 45 |
6 × 5 = 30 | 2 × 5 = 10 |
4 × 6 = 24 | 3 × 6 = 18 |
8 × 6 = 48 | 7 × 6 = 42 |
6 × 6 = 36 | 9 × 6 = 54 |
5 × 6 = 30 | 2 × 6 = 12 |
7 × 7 = 49 | 8 × 7 = 56 |
6 × 7 = 42 | 4 × 7 = 28 |
5 × 7 = 35 | 3 × 7 = 21 |
9 × 7 = 63 | 2 × 7 = 14 |
9 × 8 = 72 | 7 × 8 = 56 |
3 × 8 = 24 | 6 × 8 = 48 |
4 × 8 = 32 | 8 × 8 = 64 |
5 × 8 = 40 | 2 × 8 = 16 |
9 × 9 = 81 | 4 × 9 = 36 |
7 × 9 = 63 | 5 × 9 = 45 |
3 × 9 = 27 | 6 × 9 = 54 |
8 × 9 = 72 | 2 × 9 = 18 |
5 × 12 = 60 | 9 × 12 = 108 |
3 × 12 = 36 | 7 × 12 = 84 |
8 × 12 = 96 | 6 × 12 = 72 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{32}{48}\) \(= \frac{2}{3}\)
Evaluate:
\( 1\frac{4}{5} − \frac{7}{8}\) \(= \frac{37}{40}\)
Find BC if AB = 5.7m and AC = 6.7m. 8.80m
Find angle BCA if AB = 4.6m and BC = 6.1m. 48.9o
Find BC if angle BCA = 30o and AC = 4m. 4.62m
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.
\( \frac{5}{6}\) \(= 0.833\)
Convert this decimal to a fraction.
\(0.57\) = \( \frac{57}{100}\)
Increase £80 by 40%
£112
What is the lowest common multiple of twelve and twenty.
= 60
2,9,16,23,30...
Find the:
a) next term; 37
b) nth term; 7n - 5
c) term number 37; 254
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 11; 4096
If £200 is invested for 9 years with a simple interest rate of 2%, find the amount of interest earned. £36.00
If £200 is invested with an interest rate of 5% compounded annually, find the value of the investment after 5 years. £255.26
If £1 is worth $1.43, convert:
a) £120 to dollars; $171.60
b) $220 to pounds; £153.85
What are the coordinates of the midpoint of the line joining:
\((7,-2) \text{ and } (15,10)\)
(11,4)
What is the gradient of the line joining:
\((7,-4) \text{ and } (10,2)\)
2
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((1,5),(4,8),(-2,8)\)
(1,11)
a) 8 − 16 = -8
b) 8 × (-7) = -56
c) (11−21)(9−17) = 80
d) 56 ÷ (-7) = -8
e) (-10)2 = 100
If p = 6, q = 22 and
r = -6 evaluate:
a) 2q − p = 38
b) pq + r = 126
c) p2 − 5q - r = -68
Solve:
\(4x = 20\)
\(x = 5\)
Solve:
\(4x +2= 10\)
\(x = 2\)
Solve:
\(8x +3= 6x + 11\)
\(x = 4\)
Solve:
\(2(2x +5)+11= 29\)
\(x = 2\)
Solve:
\(4(5x + 4)= 3(3x + 5)\)
\(x = -0.0909 \text{(to 3 sf)}\)
Solve:
\(4x+5y = 42\)
\(3x+5y = 39\)
\(x = 3, y = 6\)
Solve:
\(2x-2y = 6\)
\(7x+6y = 60\)
\(x = 6, y = 3\)
Solve:
\(3x+7y = 40.5\)
\(5x+2y = 38.5\)
\(x = 6.5, y = 3\)
Find the union of:
{1,3,5,7,9} and
{3,4,5,6,7,8}
{1,3,4,5,6,7,8,9}
Find the intersection of:
{6,7,8,9,10} and
{3,6,9,12,15}
{6,9}
A plane flies from point A to point B on a bearing of 210o. What bearing would it return on from B to A? 030o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
7 + 9 × 9 − 4
84
Simplify the following by collecting like terms:
\(3x+5x^2-8x+x^2\)
\(6x^2-5x\)
Divide 119 in the ratio
9:8
63 and 56
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 £65 after a 35% reduction. What was the original price?
£100
Find the mean, mode, median and range of the following:
5,3,7,5,10
Mean = 6, mode = 5,
median = 5 and range = 7
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.494949... \(\frac{49}{99}\)
Decrease £140 by 30%
£98
Expand:
\(9(4x-9)\)
\(36x-81\)
Expand:
\((3x+2)(x-2)\)
\(3x^2-4x-4\)
Factorise:
\(8x-12\)
\(4(2x-3)\)
Factorise:
\(x^2+3x-4\)
\((x+4)(x-1)\)
Factorise:
\(3x^2+7x-6\)
\((x+3)(3x-2)\)
Which theorem?
Find the value of:
3.94 × 10-3
= 0.00394
Write in standard form:
498
= 4.98 × 102
Write in standard form:
0.000856
= 8.56 × 10-4
Find the nth term:
\(-2, 4, 12, 22, 34, \)
\(n^2+3n-6\)
Multiply 5 × 106
by 7 × 102 and give the answer in standard form.
= 3.5 × 109
Solve:
\(x^2-x-20= 0\)
\(x = 5\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2+3x-4 = 0\)
\(x = 0.693\) and \(-1.44\)
What is the size of each interior angle of a regular hexagon?
120°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}-2$$
Calculate the value of:
4624 ÷ 8
= 578
What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89
What is the difference between the 7th and the 8th square numbers?
15
What are the three largest prime numbers less than
41
37, 31, 29
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: 0.66, 6.66, 6.06, 0.6, 6, 6.6, 0.06, in ascending order.
0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,
Write down these lengths: 1.8m, 1.08m, 17cm, 107cm, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 17cl, 18cl, 200ml, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
d = 99
a = 132
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