What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
29
1, 29.
Subtract the 5th from the 9th multiples of:
11
44
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) 24.39; 24.4
b) 525070; 525000
c) 19; 19.0
d) 0.001995; 0.00200
Find the area of a triangle that has a base of 7cm and a height of 10cm.
35cm2
Find the area of a trapezium that has a base of 15cm, a height of 12cm and a top (parallel to base) of 5cm. 120cm2
Evaluate:
\( \frac{4}{5} + \frac{6}{7}\) \(= 1\frac{23}{35}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{7}\) \(= \frac{15}{28}\)
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.
\( \frac{4}{5}\) \(= 80\)%
Find the area of a circle that has a radius of 7cm. Give your answer to three significant figures.
154cm2
Find the circumference of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm
Calculate the value of:
7.5 + 8.4
= 15.9
Calculate the value of:
7.1 − 1.6
= 5.5
Calculate the value of:
2.4 × 7.7
= 18.48
Calculate the value of:
99 ÷ 18
= 5.5
What is the value of:
53
= 125
What is the value of:
\(3^{-3}\)
\(= \frac{1}{27}\)
Calculate the value of:
35 + 39
= 74
Calculate the value of:
93 − 28
= 65
Calculate the value of:
57 × 82
= 4674
Calculate the value of:
1444 ÷ 19
= 76
Find the value of:
95% of 260
= 247
Find the value of:
8.25 × 105
= 825000
Find the highest common factor of twenty seven and twelve.
= 3
5 × 4 = 20 | 6 × 2 = 12 |
3 × 3 = 9 | 7 × 2 = 14 |
4 × 2 = 8 | 8 × 3 = 24 |
9 × 5 = 45 | 2 × 4 = 8 |
6 × 6 = 36 | 5 × 12 = 60 |
4 × 10 = 40 | 7 × 9 = 63 |
8 × 8 = 64 | 9 × 8 = 72 |
3 × 4 = 12 | 2 × 6 = 12 |
3 × 2 = 6 | 7 × 2 = 14 |
9 × 2 = 18 | 4 × 2 = 8 |
8 × 2 = 16 | 5 × 2 = 10 |
6 × 2 = 12 | 2 × 2 = 4 |
5 × 3 = 15 | 7 × 3 = 21 |
6 × 3 = 18 | 8 × 3 = 24 |
3 × 3 = 9 | 4 × 3 = 12 |
9 × 3 = 27 | 2 × 3 = 6 |
3 × 4 = 12 | 6 × 4 = 24 |
4 × 4 = 16 | 5 × 4 = 20 |
9 × 4 = 36 | 7 × 4 = 28 |
8 × 4 = 32 | 2 × 4 = 8 |
6 × 5 = 30 | 3 × 5 = 15 |
4 × 5 = 20 | 7 × 5 = 35 |
5 × 5 = 25 | 8 × 5 = 40 |
9 × 5 = 45 | 2 × 5 = 10 |
9 × 6 = 54 | 5 × 6 = 30 |
3 × 6 = 18 | 6 × 6 = 36 |
4 × 6 = 24 | 8 × 6 = 48 |
7 × 6 = 42 | 2 × 6 = 12 |
7 × 7 = 49 | 3 × 7 = 21 |
9 × 7 = 63 | 4 × 7 = 28 |
5 × 7 = 35 | 6 × 7 = 42 |
8 × 7 = 56 | 2 × 7 = 14 |
6 × 8 = 48 | 4 × 8 = 32 |
3 × 8 = 24 | 5 × 8 = 40 |
7 × 8 = 56 | 8 × 8 = 64 |
9 × 8 = 72 | 2 × 8 = 16 |
4 × 9 = 36 | 7 × 9 = 63 |
8 × 9 = 72 | 3 × 9 = 27 |
5 × 9 = 45 | 9 × 9 = 81 |
6 × 9 = 54 | 2 × 9 = 18 |
6 × 12 = 72 | 9 × 12 = 108 |
8 × 12 = 96 | 3 × 12 = 36 |
4 × 12 = 48 | 5 × 12 = 60 |
7 × 12 = 84 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{20}{30}\) \(= \frac{2}{3}\)
Evaluate:
\( 1\frac{4}{5} − \frac{6}{7}\) \(= \frac{33}{35}\)
Find AB if AC = 3.4m and BC = 5.1m. 3.80m
Find angle BCA if AB = 4.9m and BC = 6.1m. 53.4o
Find AC if angle ABC = 66o and AB = 5.7m. 12.8m
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.
\( \frac{5}{8}\) \(= 0.625\)
Convert this decimal to a fraction.
\(0.37\) = \( \frac{37}{100}\)
Increase £140 by 10%
£154
What is the lowest common multiple of twelve and twenty eight.
= 84
6,19,32,45,58...
Find the:
a) next term; 71
b) nth term; 13n - 7
c) term number 48; 617
6,18,54,162,486...
Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 11; 354294
If £120 is invested for 5 years with a simple interest rate of 6%, find the amount of interest earned. £36.00
If £220 is invested with an interest rate of 1% compounded annually, find the value of the investment after 9 years. £240.61
If £1 is worth $1.29, convert:
a) £120 to dollars; $154.80
b) $180 to pounds; £139.53
What are the coordinates of the midpoint of the line joining:
\((4,6) \text{ and } (12,14)\)
(8,10)
What is the gradient of the line joining:
\((5,3) \text{ and } (9,9)\)
\(\frac{3}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,1),(7,6),(-3,6)\)
(2,11)
a) 12 − 22 = -10
b) 12 × (-10) = -120
c) (7−13)(11−19) = 48
d) 120 ÷ (-10) = -12
e) (-6)2 = 36
If p = 6, q = 28 and
r = -9 evaluate:
a) 2q − p = 50
b) pq + r = 159
c) p2 − 5q - r = -95
Solve:
\(2x = 8\)
\(x = 4\)
Solve:
\(3x -1= 26\)
\(x = 9\)
Solve:
\(8x -2= 5x + 10\)
\(x = 4\)
Solve:
\(5(3x +3)-7= 83\)
\(x = 5\)
Solve:
\(3(5x + 2)= 5(2x + 4)\)
\(x = 2.8\)
Solve:
\(2x+2y = 16\)
\(5x+2y = 22\)
\(x = 2, y = 6\)
Solve:
\(3x-2y = 8\)
\(5x+8y = 70\)
\(x = 6, y = 5\)
Solve:
\(3x-2y = 13\)
\(5x+7y = -76.5\)
\(x = -2, y = -9.5\)
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:
{6,7,8,9,10} and
{3,4,5,6,7,8}
{6,7,8}
A plane flies from point A to point B on a bearing of 274o. What bearing would it return on from B to A? 094o
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
4 + (5 × 72 − 7)
242
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a-10\)
Divide 45 in the ratio
1:8
5 and 40
Draw a rough sketch of the graph of:
\(2y=x-2\)
Gradient 0.5
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 £96 after a 20% reduction. What was the original price?
£120
Find the mean, mode, median and range of the following:
6,7,8,9,10
Mean = 8, no mode,
median = 8 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.969696... \(\frac{32}{33}\)
Decrease £40 by 5%
£38
Expand:
\(2(4x-5)\)
\(8x-10\)
Expand:
\((2x+2)(3x-4)\)
\(6x^2-2x-8\)
Factorise:
\(24x-18\)
\(6(4x-3)\)
Factorise:
\(x^2-9\)
\((x+3)(x-3)\)
Factorise:
\(3x^2+8x-16\)
\((x+4)(3x-4)\)
Which theorem?
Find the value of:
5.29 × 10-2
= 0.0529
Write in standard form:
89700
= 8.97 × 104
Write in standard form:
0.0417
= 4.17 × 10-2
Find the nth term:
\(5, 13, 25, 41, 61, \)
\(2n^2+2n+1\)
Multiply 4 × 106
by 4 × 103 and give the answer in standard form.
= 1.6 × 1010
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2+x-5 = 0\)
\(x = 0.905\) and \(-1.10\)
What is the size of each interior angle of a regular nonagon?
140°
Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$
$$g=h(e-d)$$
Calculate the value of:
3924 ÷ 4
= 981
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What are the next three square numbers after
9
16, 25, 36
What is the 5th prime number?
11
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: 4, 0.44, 0.4, 4.44, 4.04, 4.4, 0.04, in ascending order.
0.04, 0.4, 0.44, 4, 4.04, 4.4, 4.44,
Write down these lengths: 107cm, 18mm, 1.08m, 1.8m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 200ml, 18cl, 17cl, 21cl, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
i = 54
e = 63
Round to one significant figure:
a) 92.93; 90
b) 462953; 500000
c) 26; 30
d) 0.00376; 0.004
Round each value to one significant figure to make an estimate:$$43 + 8.5 \times 42$$\(40 + 9 \times 40 = 400\)
A pie chart shows the colours of 18 books. What sector angle represents the
3 red books?
60°
What is the equation?
\(y=3-x\)A pie chart shows the colours of 18 hats. How many green hats are represented
by a sector
angle of 200°?
10
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