What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23
Find all the factors of:
21
1, 3, 7, 21.
Subtract the 4th from the 7th multiples of:
4
12
What are the names of regular polygons with:
a) eight sides;
b) nine sides;
c) ten sides.
Octagon, Nonagon and Decagon (all regular)
Round the following numbers to three significant figures:
a) 36.29; 36.3
b) 154356; 154000
c) 0.003695; 0.00370
Find the area of a triangle that has a base of 5cm and a height of 10cm.
25cm2
Find the area of a trapezium that has a base of 15cm, a height of 5cm and a top (parallel to base) of 5cm. 50cm2
Evaluate:
\( \frac{1}{3} + \frac{5}{7}\) \(= 1\frac{1}{21}\)
Evaluate:
\( \frac{1}{2} × \frac{3}{5}\) \(= \frac{3}{10}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{6}{4}\) \(= \frac{1}{3}\)
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.
\( \frac{4}{9}\) \(= 44.4\)%
Find the area of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm2
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:
7.7 + 2.8
= 10.5
Calculate the value of:
6.4 − 4.6
= 1.8
Calculate the value of:
6.4 × 7.2
= 46.08
Calculate the value of:
39 ÷ 15
= 2.6
What is the value of:
22
= 4
What is the value of:
3-2
= 0.111111111111111
Calculate the value of:
38 + 24
= 62
Calculate the value of:
84 − 26
= 58
Calculate the value of:
96 × 95
= 9120
Calculate the value of:
1027 ÷ 13
= 79
Find the value of:
5% of 360
= 18
Find the value of:
7.18 × 106
= 7180000
Find the highest common factor of twenty four and twelve.
= 12
4 × 4 = 16 | 9 × 2 = 18 |
7 × 2 = 14 | 3 × 5 = 15 |
8 × 3 = 24 | 5 × 5 = 25 |
6 × 4 = 24 | 2 × 2 = 4 |
6 × 12 = 72 | 9 × 6 = 54 |
3 × 8 = 24 | 7 × 10 = 70 |
5 × 7 = 35 | 8 × 3 = 24 |
4 × 10 = 40 | 2 × 7 = 14 |
9 × 2 = 18 | 6 × 2 = 12 |
4 × 2 = 8 | 7 × 2 = 14 |
8 × 2 = 16 | 5 × 2 = 10 |
3 × 2 = 6 | 2 × 2 = 4 |
4 × 3 = 12 | 6 × 3 = 18 |
5 × 3 = 15 | 3 × 3 = 9 |
9 × 3 = 27 | 8 × 3 = 24 |
7 × 3 = 21 | 2 × 3 = 6 |
6 × 4 = 24 | 9 × 4 = 36 |
7 × 4 = 28 | 5 × 4 = 20 |
3 × 4 = 12 | 8 × 4 = 32 |
4 × 4 = 16 | 2 × 4 = 8 |
4 × 5 = 20 | 3 × 5 = 15 |
7 × 5 = 35 | 9 × 5 = 45 |
8 × 5 = 40 | 5 × 5 = 25 |
6 × 5 = 30 | 2 × 5 = 10 |
8 × 6 = 48 | 5 × 6 = 30 |
6 × 6 = 36 | 9 × 6 = 54 |
3 × 6 = 18 | 4 × 6 = 24 |
7 × 6 = 42 | 2 × 6 = 12 |
4 × 7 = 28 | 8 × 7 = 56 |
7 × 7 = 49 | 3 × 7 = 21 |
6 × 7 = 42 | 5 × 7 = 35 |
9 × 7 = 63 | 2 × 7 = 14 |
5 × 8 = 40 | 8 × 8 = 64 |
9 × 8 = 72 | 6 × 8 = 48 |
7 × 8 = 56 | 3 × 8 = 24 |
4 × 8 = 32 | 2 × 8 = 16 |
4 × 9 = 36 | 9 × 9 = 81 |
3 × 9 = 27 | 8 × 9 = 72 |
5 × 9 = 45 | 7 × 9 = 63 |
6 × 9 = 54 | 2 × 9 = 18 |
4 × 12 = 48 | 7 × 12 = 84 |
6 × 12 = 72 | 8 × 12 = 96 |
9 × 12 = 108 | 3 × 12 = 36 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{25}{30}\) \(= \frac{5}{6}\)
Evaluate:
\( 2\frac{1}{2} − \frac{4}{5}\) \(= 1\frac{7}{10}\)
Find AB if AC = 4.2m and BC = 5.2m. 3.07m
Find angle BCA if AC = 3.6m and BC = 5.2m. 46.2o
Find AC if angle ABC = 61o and BC = 6m. 5.25m
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.
\( \frac{3}{7}\) \(= 0.429\)
Convert this decimal to a fraction.
\(0.73\) = \( \frac{73}{100}\)
Increase £160 by 35%
£216
What is the lowest common multiple of nine and eighteen.
= 18
5,16,27,38,49...
Find the:
a) next term; 60
b) nth term; 11n - 6
c) term number 52; 566
5,20,80,320,1280...
Find the:
a) next term; 5120
b) nth term; 5 × 4n-1
c) term number 10; 1310720
If £220 is invested for 9 years with a simple interest rate of 5%, find the amount of interest earned. £99.00
If £240 is invested with an interest rate of 2% compounded annually, find the value of the investment after 4 years. £259.78
If £1 is worth $1.54, convert:
a) £180 to dollars; $277.20
b) $180 to pounds; £116.88
What are the coordinates of the midpoint of the line joining:
\((-7,-9) \text{ and } (-1,3)\)
(-4,-3)
What is the gradient of the line joining:
\((-9,6) \text{ and } (-4,12)\)
\(\frac{6}{5}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,5),(10,9),(1,10)\)
(6,14)
a) 6 − 13 = -7
b) 6 × (-10) = -60
c) (8−19)(10−18) = 88
d) 60 ÷ (-10) = -6
e) (-10)2 = 100
If p = 5, q = 18 and
r = -7 evaluate:
a) 2q − p = 31
b) pq + r = 83
c) p2 − 5q - r = -58
Solve:
\(4x = 28\)
\(x = 7\)
Solve:
\(4x -5= 11\)
\(x = 4\)
Solve:
\(8x +2= 6x + 20\)
\(x = 9\)
Solve:
\(3(4x -6)-8= 22\)
\(x = 4\)
Solve:
\(4(4x + 4)= 2(3x + 4)\)
\(x = -0.8\)
Solve:
\(5x+3y = 40\)
\(4x-3y = 5\)
\(x = 5, y = 5\)
Solve:
\(2x-3y = 3\)
\(4x-9y = -3\)
\(x = 6, y = 3\)
Solve:
\(5x+5y = 5\)
\(3x-7y = -27\)
\(x = -2, y = 3\)
Find the union of:
{1,2,3,4,5} and
{5,6,7,8,9,10}
{1,2,3,4,5,6,7,8,9,10}
Find the intersection of:
{1,2,3,4,5} and
{1,3,6,10,15}
{1,3}
A plane flies from point A to point B on a bearing of 270o. What bearing would it return on from B to A? 090o
A number is picked at random from the set
{2,6,12}
what is the probability it is even? 1
Evaluate:
64 ÷ 8 × 72 ÷ 9
64
Simplify the following by collecting like terms:
\(3n+7−2n+8\)
\(n+15\)
Divide 182 in the ratio
7:6
98 and 84
Draw a rough sketch of the graph of:
\(y=-2x-2\)
Gradient -2
y intercept -2
Express the following number as the product of prime numbers:
180
2 x 2 x 3 x 3 x 5
In a sale an item costs £90 after a 10% reduction. What was the original price?
£100
Find the mean, mode, median and range of the following:
2,6,12,6,14
Mean = 8, mode = 6,
median = 6 and range = 12
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.222222... \(\frac{2}{9}\)
Decrease £20 by 45%
£11
Expand:
\(7(5x-9)\)
\(35x-63\)
Expand:
\((3x+2)(4x-3)\)
\(12x^2-x-6\)
Factorise:
\(25x-40\)
\(5(5x-8)\)
Factorise:
\(x^2-1\)
\((x+1)(x-1)\)
Factorise:
\(8x^2+10x-3\)
\((2x+3)(4x-1)\)
Which theorem?
Find the value of:
6.9 × 10-2
= 0.069
Write in standard form:
661000
= 6.61 × 105
Write in standard form:
0.000461
= 4.61 × 10-4
Find the nth term:
\(10, 20, 34, 52, 74, \)
\(2n^2+4n+4\)
Multiply 7 × 105
by 6 × 103 and give the answer in standard form.
= 4.2 × 109
Solve:
\(x^2-x-20= 0\)
\(x = 5\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2+4x-2 = 0\)
\(x = 0.366\) and \(-1.37\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}-5$$
$$h=4(e+5)$$
Calculate the value of:
1848 ÷ 8
= 231
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What are the three largest square numbers less than
100
81, 64, 49
What are the next three prime numbers after
29
31, 37, 41
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
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