What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29
Find all the factors of:
40
1, 2, 4, 5, 8, 10, 20, 40.
Subtract the 4th from the 7th multiples of:
12
36
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) 32.03; 32.0
b) 806280; 806000
c) 0.004295; 0.00430
Find the area of a triangle that has a base of 5cm and a height of 8cm.
20cm2
Find the area of a trapezium that has a base of 9cm, a height of 8cm and a top (parallel to base) of 3cm. 48cm2
Evaluate:
\( \frac{3}{4} + \frac{7}{10}\) \(= 1\frac{9}{20}\)
Evaluate:
\( \frac{3}{4} × \frac{6}{7}\) \(= \frac{9}{14}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{6}{5}\) \(= \frac{5}{9}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{3}{6}\) \(= 50\)%
Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.
3.14cm2
Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.
44.0cm
Calculate the value of:
9.7 + 5.6
= 15.3
Calculate the value of:
5.4 − 3.7
= 1.7
Calculate the value of:
7.7 × 2.4
= 18.48
Calculate the value of:
156.8 ÷ 16
= 9.8
What is the value of:
43
= 64
What is the value of:
\(4^{1}\)
\(= 4\)
Calculate the value of:
56 + 47
= 103
Calculate the value of:
61 − 28
= 33
Calculate the value of:
35 × 52
= 1820
Calculate the value of:
2184 ÷ 26
= 84
Find the value of:
80% of 280
= 224
Find the value of:
9.15 × 104
= 91500
Find the highest common factor of fourteen and six.
= 2
9 × 4 = 36 | 6 × 3 = 18 |
5 × 5 = 25 | 3 × 4 = 12 |
7 × 3 = 21 | 4 × 2 = 8 |
8 × 4 = 32 | 2 × 3 = 6 |
8 × 8 = 64 | 3 × 7 = 21 |
4 × 7 = 28 | 5 × 8 = 40 |
9 × 4 = 36 | 6 × 3 = 18 |
7 × 4 = 28 | 2 × 11 = 22 |
3 × 2 = 6 | 4 × 2 = 8 |
7 × 2 = 14 | 5 × 2 = 10 |
9 × 2 = 18 | 6 × 2 = 12 |
8 × 2 = 16 | 2 × 2 = 4 |
9 × 3 = 27 | 5 × 3 = 15 |
4 × 3 = 12 | 8 × 3 = 24 |
3 × 3 = 9 | 6 × 3 = 18 |
7 × 3 = 21 | 2 × 3 = 6 |
9 × 4 = 36 | 5 × 4 = 20 |
6 × 4 = 24 | 4 × 4 = 16 |
7 × 4 = 28 | 8 × 4 = 32 |
3 × 4 = 12 | 2 × 4 = 8 |
5 × 5 = 25 | 7 × 5 = 35 |
3 × 5 = 15 | 8 × 5 = 40 |
6 × 5 = 30 | 9 × 5 = 45 |
4 × 5 = 20 | 2 × 5 = 10 |
8 × 6 = 48 | 6 × 6 = 36 |
5 × 6 = 30 | 7 × 6 = 42 |
4 × 6 = 24 | 3 × 6 = 18 |
9 × 6 = 54 | 2 × 6 = 12 |
9 × 7 = 63 | 5 × 7 = 35 |
8 × 7 = 56 | 7 × 7 = 49 |
6 × 7 = 42 | 3 × 7 = 21 |
4 × 7 = 28 | 2 × 7 = 14 |
4 × 8 = 32 | 6 × 8 = 48 |
3 × 8 = 24 | 9 × 8 = 72 |
5 × 8 = 40 | 8 × 8 = 64 |
7 × 8 = 56 | 2 × 8 = 16 |
3 × 9 = 27 | 6 × 9 = 54 |
7 × 9 = 63 | 9 × 9 = 81 |
4 × 9 = 36 | 8 × 9 = 72 |
5 × 9 = 45 | 2 × 9 = 18 |
4 × 12 = 48 | 7 × 12 = 84 |
8 × 12 = 96 | 3 × 12 = 36 |
5 × 12 = 60 | 9 × 12 = 108 |
6 × 12 = 72 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{5}{15}\) \(= \frac{1}{3}\)
Evaluate:
\( 2\frac{1}{2} − \frac{4}{5}\) \(= 1\frac{7}{10}\)
Find BC if AB = 6m and AC = 7.7m. 9.76m
Find angle BCA if AB = 4.6m and BC = 5.9m. 51.2o
Find AC if angle ABC = 33o and AB = 5.5m. 3.57m
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.
\(0.63\) = \( \frac{63}{100}\)
Increase £80 by 10%
£88
What is the lowest common multiple of nine and twenty one.
= 63
4,11,18,25,32...
Find the:
a) next term; 39
b) nth term; 7n - 3
c) term number 37; 256
7,28,112,448,1792...
Find the:
a) next term; 7168
b) nth term; 7 × 4n-1
c) term number 8; 114688
If £240 is invested for 6 years with a simple interest rate of 3%, find the amount of interest earned. £43.20
If £220 is invested with an interest rate of 2% compounded annually, find the value of the investment after 5 years. £242.90
If £1 is worth $1.38, convert:
a) £220 to dollars; $303.60
b) $220 to pounds; £159.42
What are the coordinates of the midpoint of the line joining:
\((-8,8) \text{ and } (4,20)\)
(-2,14)
What is the gradient of the line joining:
\((2,-2) \text{ and } (8,2)\)
\(\frac{2}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,2),(7,7),(-1,5)\)
(2,10)
a) 8 − 14 = -6
b) 8 × (-9) = -72
c) (9−16)(8−20) = 84
d) 72 ÷ (-9) = -8
e) (-5)2 = 25
If p = 6, q = 19 and
r = -10 evaluate:
a) 2q − p = 32
b) pq + r = 104
c) p2 − 5q - r = -49
Solve:
\(5x = 30\)
\(x = 6\)
Solve:
\(2x +1= 5\)
\(x = 2\)
Solve:
\(6x -2= 3x + 22\)
\(x = 8\)
Solve:
\(3(2x -3)-9= 24\)
\(x = 7\)
Solve:
\(4(5x + 3)= 3(3x + 5)\)
\(x = 0.273 \text{(to 3 sf)}\)
Solve:
\(2x-3y = -14\)
\(4x+3y = 26\)
\(x = 2, y = 6\)
Solve:
\(4x-5y = 1\)
\(7x-20y = -32\)
\(x = 4, y = 3\)
Solve:
\(3x+7y = 19\)
\(5x-2y = -23\)
\(x = -3, y = 4\)
Find the union of:
{5,6,7,8,9,10} and
{2,6,12}
{2,5,6,7,8,9,10,12}
Find the intersection of:
{1,3,5,7,9} and
{5,6,7,8,9,10}
{5,7,9}
A plane flies from point A to point B on a bearing of 342o. What bearing would it return on from B to A? 162o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
15 ÷ 5 × 25 ÷ 5
15
Simplify the following by collecting like terms:
\(7d−3e−5d+7e\)
\(4e+2d\)
Divide 15 in the ratio
2:1
10 and 5
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:
180
2 x 2 x 3 x 3 x 5
In a sale an item costs £162 after a 10% reduction. What was the original price?
£180
Find the mean, mode, median and range of the following:
1,3,1,10,5
Mean = 4, mode = 1,
median = 3 and range = 9
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.858585... \(\frac{85}{99}\)
Decrease £40 by 20%
£32
Expand:
\(3(3x-5)\)
\(9x-15\)
Expand:
\((3x+3)(3x-4)\)
\(9x^2-3x-12\)
Factorise:
\(21x-18\)
\(3(7x-6)\)
Factorise:
\(x^2+x-6\)
\((x+3)(x-2)\)
Factorise:
\(3x^2+2x-1\)
\((x+1)(3x-1)\)
Which theorem?
Find the value of:
8.19 × 10-4
= 0.000819
Write in standard form:
4260
= 4.26 × 103
Write in standard form:
0.0000425
= 4.25 × 10-5
Find the nth term:
\(10, 19, 32, 49, 70, \)
\(2n^2+3n+5\)
Multiply 6 × 105
by 7 × 104 and give the answer in standard form.
= 4.2 × 1010
Solve:
\(x^2-x-30= 0\)
\(x = 6\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-3x-3 = 0\)
\(x = 1.13\) and \(-0.531\)
What is the size of each interior angle of a regular hexagon?
120°
Make \(e\) the subject of the formula
$$f=g(e+h)$$
$$e=\frac{f}{g}-h$$
Calculate the value of:
2845 ÷ 5
= 569
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What is the square of
8
64
What is the 9th prime number?
23
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: 1, 1.01, 0.1, 1.11, 1.1, 0.11, 0.01, in ascending order.
0.01, 0.1, 0.11, 1, 1.01, 1.1, 1.11,
Write down these lengths: 1.08m, 17cm, 107cm, 1.8m, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 18cl, 200ml, 17cl, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
e = 69
e = 63
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