
What is the 7th:
a) Odd number; 13
b) Square number; 49
c) Prime number. 17
Find all the factors of:
31
1, 31.
Subtract the 5th from the 9th multiples of:
9
36
What are the names of regular polygons with:
a) three sides;
b) four sides;
c) five sides.
Equilateral Triangle, Square and Pentagon (all regular)
Round to three significant figures:
a) 48.32; 48.3
b) 493345; 493000
c) 91; 91.0
d) 0.009195; 0.00920
Find the area of a triangle that has a base of 4cm and a height of 7cm.
14cm2
Find the area of a trapezium that has a base of 12cm, a height of 10cm and a top (parallel to base) of 6cm. 90cm2
Evaluate:
\( \frac{1}{2} + \frac{4}{6}\) \(= 1\frac{1}{6}\)
Evaluate:
\( \frac{1}{2} × \frac{3}{4}\) \(= \frac{3}{8}\)
Evaluate:
\( \frac{3}{5} ÷ \frac{8}{7}\) \(= \frac{21}{40}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{2}{4}\) \(= 50\)%
Find the area of a circle that has a radius of 3cm. Give your answer to three significant figures.
28.3cm2
Find the circumference of a circle that has a radius of 8cm. Give your answer to three significant figures.
50.3cm
Calculate the value of:
2.6 + 4.5
= 7.1
Calculate the value of:
5.3 − 3.9
= 1.4
Calculate the value of:
7.4 × 6.4
= 47.36
Calculate the value of:
77.4 ÷ 18
= 4.3
What is the value of:
13
= 1
What is the value of:
\(4^{-2}\)
\(= \frac{1}{16}\)
Calculate the value of:
37 + 88
= 125
Calculate the value of:
54 − 29
= 25
Calculate the value of:
33 × 46
= 1518
Calculate the value of:
1566 ÷ 18
= 87
Find the value of:
40% of 220
= 88
Find the value of:
9.36 × 106
= 9360000
Find the highest common factor of eighteen and nine.
= 9
9 × 4 = 36 | 4 × 5 = 20 |
7 × 3 = 21 | 6 × 2 = 12 |
8 × 2 = 16 | 5 × 4 = 20 |
3 × 3 = 9 | 2 × 3 = 6 |
6 × 5 = 30 | 9 × 10 = 90 |
3 × 5 = 15 | 5 × 10 = 50 |
7 × 2 = 14 | 4 × 2 = 8 |
8 × 2 = 16 | 2 × 12 = 24 |
6 × 2 = 12 | 9 × 2 = 18 |
3 × 2 = 6 | 4 × 2 = 8 |
8 × 2 = 16 | 5 × 2 = 10 |
7 × 2 = 14 | 2 × 2 = 4 |
5 × 3 = 15 | 9 × 3 = 27 |
8 × 3 = 24 | 4 × 3 = 12 |
6 × 3 = 18 | 3 × 3 = 9 |
7 × 3 = 21 | 2 × 3 = 6 |
3 × 4 = 12 | 7 × 4 = 28 |
5 × 4 = 20 | 8 × 4 = 32 |
6 × 4 = 24 | 4 × 4 = 16 |
9 × 4 = 36 | 2 × 4 = 8 |
6 × 5 = 30 | 7 × 5 = 35 |
8 × 5 = 40 | 5 × 5 = 25 |
4 × 5 = 20 | 9 × 5 = 45 |
3 × 5 = 15 | 2 × 5 = 10 |
7 × 6 = 42 | 9 × 6 = 54 |
6 × 6 = 36 | 4 × 6 = 24 |
3 × 6 = 18 | 8 × 6 = 48 |
5 × 6 = 30 | 2 × 6 = 12 |
9 × 7 = 63 | 4 × 7 = 28 |
6 × 7 = 42 | 5 × 7 = 35 |
8 × 7 = 56 | 7 × 7 = 49 |
3 × 7 = 21 | 2 × 7 = 14 |
8 × 8 = 64 | 6 × 8 = 48 |
9 × 8 = 72 | 7 × 8 = 56 |
4 × 8 = 32 | 5 × 8 = 40 |
3 × 8 = 24 | 2 × 8 = 16 |
7 × 9 = 63 | 4 × 9 = 36 |
6 × 9 = 54 | 9 × 9 = 81 |
3 × 9 = 27 | 5 × 9 = 45 |
8 × 9 = 72 | 2 × 9 = 18 |
6 × 12 = 72 | 9 × 12 = 108 |
3 × 12 = 36 | 4 × 12 = 48 |
5 × 12 = 60 | 7 × 12 = 84 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{12}{18}\) \(= \frac{2}{3}\)
Evaluate:
\( 2\frac{1}{2} − \frac{3}{4}\) \(= 1\frac{3}{4}\)
Find AC if AB = 5.9m and BC = 7.2m. 4.13m
Find angle BCA if AB = 5.6m and AC = 7.5m. 36.7o
Find AC if angle ABC = 49o and AB = 5.7m. 6.56m
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.
\( \frac{3}{6}\) \(= 0.5\)
Convert this decimal to a fraction.
\(0.69\) = \( \frac{69}{100}\)
Increase £180 by 25%
£225
What is the lowest common multiple of nine and eighteen.
= 18
3,10,17,24,31...
Find the:
a) next term; 38
b) nth term; 7n - 4
c) term number 38; 262
4,12,36,108,324...
Find the:
a) next term; 972
b) nth term; 4 × 3n-1
c) term number 9; 26244
If £160 is invested for 9 years with a simple interest rate of 1%, find the amount of interest earned. £14.40
If £100 is invested with an interest rate of 5% compounded annually, find the value of the investment after 5 years. £127.63
If £1 is worth $1.38, convert:
a) £180 to dollars; $248.40
b) $240 to pounds; £173.91
What are the coordinates of the midpoint of the line joining:
\((1,8) \text{ and } (9,20)\)
(5,14)
What is the gradient of the line joining:
\((-5,-8) \text{ and } (-1,-5)\)
\(\frac{3}{4}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,3),(8,6),(2,6)\)
(5,9)
a) 8 − 19 = -11
b) 8 × (-8) = -64
c) (10−19)(7−18) = 99
d) 64 ÷ (-8) = -8
e) (-9)2 = 81
If p = 5, q = 24 and
r = -6 evaluate:
a) 2q − p = 43
b) pq + r = 114
c) p2 − 5q - r = -89
Solve:
\(5x = 25\)
\(x = 5\)
Solve:
\(3x +2= 8\)
\(x = 2\)
Solve:
\(6x +6= 2x + 38\)
\(x = 8\)
Solve:
\(3(2x +4)-10= 20\)
\(x = 3\)
Solve:
\(5(5x + 2)= 2(5x + 2)\)
\(x = -0.4\)
Solve:
\(5x-5y = 0\)
\(4x+5y = 63\)
\(x = 7, y = 7\)
Solve:
\(4x-2y = -4\)
\(6x+4y = 36\)
\(x = 2, y = 6\)
Solve:
\(2x+3y = -4\)
\(3x+2y = 11.5\)
\(x = 8.5, y = -7\)
Find the union of:
{2,4,6,8,10} and
{5,6,7,8,9,10}
{2,4,5,6,7,8,9,10}
Find the intersection of:
{1,2,3,4,5} and
{6,7,8,9,10}
∅
A plane flies from point A to point B on a bearing of 337o. What bearing would it return on from B to A? 157o
A number is picked at random from the set
{5,6,7,8,9,10}
what is the probability it is even? \(\frac12\)
Evaluate:
2 + (4 × 42 − 4)
62
Simplify the following by collecting like terms:
\(3a+5b-3a+4b^2\)
\(5b+4b^2\)
Divide 70 in the ratio
2:3
28 and 42
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:
24
2 x 2 x 2 x 3
In a sale an item costs £36 after a 40% reduction. What was the original price?
£60
Find the mean, mode, median and range of the following:
7,7,2,7,7
Mean = 6, mode = 7,
median = 7 and range = 5
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.989898... \(\frac{98}{99}\)
Decrease £140 by 5%
£133
Expand:
\(9(3x-8)\)
\(27x-72\)
Expand:
\((x+3)(2x-1)\)
\(2x^2+5x-3\)
Factorise:
\(18x-48\)
\(6(3x-8)\)
Factorise:
\(x^2-4\)
\((x+2)(x-2)\)
Factorise:
\(10x^2+9x-9\)
\((2x+3)(5x-3)\)
Which theorem?
Find the value of:
7.32 × 10-3
= 0.00732
Write in standard form:
52900
= 5.29 × 104
Write in standard form:
0.0469
= 4.69 × 10-2
Find the nth term:
\(11, 17, 25, 35, 47, \)
\(n^2+3n+7\)
Multiply 7 × 103
by 4 × 104 and give the answer in standard form.
= 2.8 × 108
Solve:
\(x^2-x-12= 0\)
\(x = 4\) and \(-3\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+2x-2 = 0\)
\(x = 0.549\) and \(-1.22\)
What is the size of each interior angle of a regular hexagon?
120°
Make \(d\) the subject of the formula
$$e=\frac{2d-1}{3}$$
$$d=\frac{3e+1}{2}$$
Calculate the value of:
1452 ÷ 2
= 726
What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55
What are the next three square numbers after
16
25, 36, 49
What is the difference between the 9th and the 10th prime numbers?
29 - 23 = 6
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: 6.6, 6.66, 6.06, 6, 0.6, 0.66, 0.06, in ascending order.
0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,
Write down these lengths: 1.08m, 1.8m, 18mm, 17cm, 107cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 17cl, 200ml, 21cl, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
g = 122
g = 122
Round to one significant figure:
a) 92.33; 90
b) 957379; 1000000
c) 29; 30
d) 0.00870; 0.009
Round each value to one significant figure to make an estimate:$$23 + 9.6 \times 53$$\(20 + 10 \times 50 = 520\)
A pie chart shows the colours of 24 books. What sector angle represents the
14 red books?
210°
What is the equation?
\(y=5-0.5x\)A pie chart shows the colours of 18 hats. How many green hats are represented
by a sector
angle of 320°?
16
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