
What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
42
1, 2, 3, 6, 7, 14, 21, 42.
Subtract the 4th from the 8th multiples of:
10
40
What are the names of regular polygons with:
a) eight sides;
b) nine sides;
c) ten sides.
Octagon, Nonagon and Decagon (all regular)
Round to three significant figures:
a) 35.92; 35.9
b) 902349; 902000
c) 50; 50.0
d) 0.005095; 0.00510
Find the area of a triangle that has a base of 7cm and a height of 11cm.
38.5cm2
Find the area of a trapezium that has a base of 14cm, a height of 5cm and a top (parallel to base) of 4cm. 45cm2
Evaluate:
\( \frac{1}{4} + \frac{7}{8}\) \(= 1\frac{1}{8}\)
Evaluate:
\( \frac{2}{4} × \frac{5}{7}\) \(= \frac{5}{14}\)
Evaluate:
\( \frac{3}{5} ÷ \frac{7}{6}\) \(= \frac{18}{35}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{5}{8}\) \(= 62.5\)%
Find the area of a circle that has a radius of 6cm. Give your answer to three significant figures.
113cm2
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:
8.8 + 6.4
= 15.2
Calculate the value of:
5.3 − 2.7
= 2.6
Calculate the value of:
2.5 × 9.4
= 23.5
Calculate the value of:
96.9 ÷ 17
= 5.7
What is the value of:
23
= 8
What is the value of:
\(25^{\frac{1}{2}}\)
\(= 5\)
Calculate the value of:
98 + 86
= 184
Calculate the value of:
73 − 25
= 48
Calculate the value of:
98 × 65
= 6370
Calculate the value of:
1127 ÷ 23
= 49
Find the value of:
85% of 220
= 187
Find the value of:
3.41 × 106
= 3410000
Find the highest common factor of twenty eight and twelve.
= 4
8 × 2 = 16 | 6 × 5 = 30 |
9 × 2 = 18 | 7 × 5 = 35 |
5 × 4 = 20 | 3 × 2 = 6 |
4 × 4 = 16 | 2 × 5 = 10 |
4 × 7 = 28 | 9 × 10 = 90 |
8 × 12 = 96 | 5 × 3 = 15 |
7 × 11 = 77 | 6 × 2 = 12 |
3 × 6 = 18 | 2 × 3 = 6 |
7 × 2 = 14 | 3 × 2 = 6 |
6 × 2 = 12 | 5 × 2 = 10 |
8 × 2 = 16 | 4 × 2 = 8 |
9 × 2 = 18 | 2 × 2 = 4 |
7 × 3 = 21 | 4 × 3 = 12 |
9 × 3 = 27 | 5 × 3 = 15 |
6 × 3 = 18 | 8 × 3 = 24 |
3 × 3 = 9 | 2 × 3 = 6 |
9 × 4 = 36 | 8 × 4 = 32 |
3 × 4 = 12 | 4 × 4 = 16 |
6 × 4 = 24 | 7 × 4 = 28 |
5 × 4 = 20 | 2 × 4 = 8 |
5 × 5 = 25 | 8 × 5 = 40 |
7 × 5 = 35 | 6 × 5 = 30 |
9 × 5 = 45 | 3 × 5 = 15 |
4 × 5 = 20 | 2 × 5 = 10 |
8 × 6 = 48 | 3 × 6 = 18 |
5 × 6 = 30 | 7 × 6 = 42 |
6 × 6 = 36 | 9 × 6 = 54 |
4 × 6 = 24 | 2 × 6 = 12 |
7 × 7 = 49 | 5 × 7 = 35 |
4 × 7 = 28 | 3 × 7 = 21 |
6 × 7 = 42 | 9 × 7 = 63 |
8 × 7 = 56 | 2 × 7 = 14 |
7 × 8 = 56 | 8 × 8 = 64 |
6 × 8 = 48 | 9 × 8 = 72 |
5 × 8 = 40 | 4 × 8 = 32 |
3 × 8 = 24 | 2 × 8 = 16 |
8 × 9 = 72 | 5 × 9 = 45 |
7 × 9 = 63 | 9 × 9 = 81 |
6 × 9 = 54 | 4 × 9 = 36 |
3 × 9 = 27 | 2 × 9 = 18 |
6 × 12 = 72 | 9 × 12 = 108 |
7 × 12 = 84 | 4 × 12 = 48 |
3 × 12 = 36 | 8 × 12 = 96 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{8}{20}\) \(= \frac{2}{5}\)
Evaluate:
\( 3\frac{1}{2} − \frac{4}{5}\) \(= 2\frac{7}{10}\)
Find AB if AC = 4.5m and BC = 6.2m. 4.26m
Find angle BCA if AC = 5.3m and BC = 7.2m. 42.6o
Find BC if angle BCA = 40o and AC = 3.3m. 4.31m
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.
\( \frac{1}{6}\) \(= 0.167\)
Convert this decimal to a fraction.
\(0.47\) = \( \frac{47}{100}\)
Increase £160 by 45%
£232
What is the lowest common multiple of twelve and twenty four.
= 24
2,6,10,14,18...
Find the:
a) next term; 22
b) nth term; 4n - 2
c) term number 51; 202
4,12,36,108,324...
Find the:
a) next term; 972
b) nth term; 4 × 3n-1
c) term number 12; 708588
If £100 is invested for 8 years with a simple interest rate of 2%, find the amount of interest earned. £16.00
If £140 is invested with an interest rate of 3% compounded annually, find the value of the investment after 5 years. £162.30
If £1 is worth $1.32, convert:
a) £220 to dollars; $290.40
b) $240 to pounds; £181.82
What are the coordinates of the midpoint of the line joining:
\((3,-6) \text{ and } (9,6)\)
(6,0)
What is the gradient of the line joining:
\((5,4) \text{ and } (11,9)\)
\(\frac{5}{6}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,1),(9,7),(-2,6)\)
(3,12)
a) 9 − 15 = -6
b) 9 × (-6) = -54
c) (6−12)(11−22) = 66
d) 54 ÷ (-6) = -9
e) (-5)2 = 25
If p = 6, q = 21 and
r = -5 evaluate:
a) 2q − p = 36
b) pq + r = 121
c) p2 − 5q - r = -64
Solve:
\(5x = 45\)
\(x = 9\)
Solve:
\(4x -8= 24\)
\(x = 8\)
Solve:
\(6x -5= 3x + 7\)
\(x = 4\)
Solve:
\(3(2x -4)-6= 6\)
\(x = 4\)
Solve:
\(6(2x + 5)= 5(2x + 4)\)
\(x = -5\)
Solve:
\(6x+5y = 45\)
\(5x+5y = 40\)
\(x = 5, y = 3\)
Solve:
\(3x-2y = -1\)
\(6x-6y = -12\)
\(x = 3, y = 5\)
Solve:
\(3x-3y = 1.5\)
\(7x-2y = -34\)
\(x = -7, y = -7.5\)
Find the union of:
{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
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 209o. What bearing would it return on from B to A? 029o
A number is picked at random from the set
{1,3,6,10,15}
what is the probability it is even? \(\frac25\)
Evaluate:
82 − 8 × 3 + 5
45
Simplify the following by collecting like terms:
\(3a+5b-3a+4b^2\)
\(5b+4b^2\)
Divide 72 in the ratio
5:7
30 and 42
Draw a rough sketch of the graph of:
\(y=-x\)
Gradient -1
y intercept 0
Express the following number as the product of prime numbers:
36
2 x 2 x 3 x 3
In a sale an item costs £45 after a 25% reduction. What was the original price?
£60
Find the mean, mode, median and range of the following:
2,4,6,8,10
Mean = 6, no mode,
median = 6 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.888888... \(\frac{8}{9}\)
Decrease £140 by 40%
£84
Expand:
\(2(4x-9)\)
\(8x-18\)
Expand:
\((4x+1)(x-1)\)
\(4x^2-3x-1\)
Factorise:
\(2x-2\)
\(2(x-1)\)
Factorise:
\(x^2-x-2\)
\((x+1)(x-2)\)
Factorise:
\(4x^2-15x-4\)
\((4x+1)(x-4)\)
Which theorem?
Find the value of:
2.9 × 10-3
= 0.0029
Write in standard form:
754000
= 7.54 × 105
Write in standard form:
0.00236
= 2.36 × 10-3
Find the nth term:
\(8, 21, 40, 65, 96, \)
\(3n^2+4n+1\)
Multiply 7 × 103
by 6 × 103 and give the answer in standard form.
= 4.2 × 107
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2-3x-1 = 0\)
\(x = 1.78\) and \(-0.281\)
What is the size of each interior angle of a regular octagon?
135°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}-2$$
Calculate the value of:
2655 ÷ 9
= 295
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What are the next three square numbers after
36
49, 64, 81
What are the three largest prime numbers less than
23
19, 17, 13
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: 0.7, 7, 7.07, 7.77, 0.77, 7.7, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,
Write down these lengths: 18mm, 107cm, 1.08m, 1.8m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 173ml, 17cl, 18cl, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
c = 81
i = 97
Round to one significant figure:
a) 96.33; 100
b) 469691; 500000
c) 72; 70
d) 0.00173; 0.002
Round each value to one significant figure to make an estimate:$$7.9 \times 41 - 183$$\(8 \times 40 - 200 = 120\)
A pie chart shows the colours of 30 books. What sector angle represents the
28 red books?
336°
What is the equation?
\(y=2-0.5x\)A pie chart shows the colours of 8 hats. How many green hats are represented
by a sector
angle of 90°?
2
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