What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
45
1, 3, 5, 9, 15, 45.
Subtract the 7th from the 12th multiples of:
12
60
What are the names of regular polygons with:
a) four sides;
b) five sides;
c) six sides.
Square, Pentagon and Hexagon (all regular)
Round the following numbers to three significant figures:
a) 83.21; 83.2
b) 240931; 241000
c) 0.005395; 0.00540
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 11cm and a top (parallel to base) of 3cm. 66cm2
Evaluate:
\( \frac{4}{7} + \frac{9}{10}\) \(= 1\frac{33}{70}\)
Evaluate:
\( \frac{1}{2} × \frac{4}{5}\) \(= \frac{2}{5}\)
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.
\( \frac{2}{6}\) \(= 33.3\)%
Find the area of a circle that has a radius of 9cm. Give your answer to three significant figures.
254cm2
Find the circumference of a circle that has a radius of 1cm. Give your answer to three significant figures.
6.28cm
Calculate the value of:
3.8 + 4.7
= 8.5
Calculate the value of:
9.4 − 2.9
= 6.5
Calculate the value of:
2.7 × 7.3
= 19.71
Calculate the value of:
111 ÷ 15
= 7.4
What is the value of:
32
= 9
What is the value of:
\(2^{-2}\)
\(= \frac{1}{4}\)
Calculate the value of:
88 + 69
= 157
Calculate the value of:
73 − 25
= 48
Calculate the value of:
75 × 96
= 7200
Calculate the value of:
1232 ÷ 14
= 88
Find the value of:
20% of 80
= 16
Find the value of:
3.15 × 106
= 3150000
Find the highest common factor of thirty six and sixteen.
= 4
7 × 3 = 21 | 5 × 4 = 20 |
4 × 4 = 16 | 6 × 5 = 30 |
3 × 5 = 15 | 8 × 2 = 16 |
9 × 4 = 36 | 2 × 2 = 4 |
3 × 4 = 12 | 4 × 7 = 28 |
9 × 2 = 18 | 6 × 8 = 48 |
7 × 4 = 28 | 8 × 5 = 40 |
5 × 9 = 45 | 2 × 10 = 20 |
4 × 2 = 8 | 7 × 2 = 14 |
3 × 2 = 6 | 6 × 2 = 12 |
5 × 2 = 10 | 8 × 2 = 16 |
9 × 2 = 18 | 2 × 2 = 4 |
7 × 3 = 21 | 3 × 3 = 9 |
9 × 3 = 27 | 4 × 3 = 12 |
8 × 3 = 24 | 5 × 3 = 15 |
6 × 3 = 18 | 2 × 3 = 6 |
5 × 4 = 20 | 3 × 4 = 12 |
6 × 4 = 24 | 8 × 4 = 32 |
4 × 4 = 16 | 7 × 4 = 28 |
9 × 4 = 36 | 2 × 4 = 8 |
7 × 5 = 35 | 8 × 5 = 40 |
4 × 5 = 20 | 9 × 5 = 45 |
6 × 5 = 30 | 5 × 5 = 25 |
3 × 5 = 15 | 2 × 5 = 10 |
9 × 6 = 54 | 3 × 6 = 18 |
5 × 6 = 30 | 6 × 6 = 36 |
7 × 6 = 42 | 8 × 6 = 48 |
4 × 6 = 24 | 2 × 6 = 12 |
3 × 7 = 21 | 8 × 7 = 56 |
5 × 7 = 35 | 4 × 7 = 28 |
9 × 7 = 63 | 7 × 7 = 49 |
6 × 7 = 42 | 2 × 7 = 14 |
6 × 8 = 48 | 8 × 8 = 64 |
9 × 8 = 72 | 7 × 8 = 56 |
3 × 8 = 24 | 5 × 8 = 40 |
4 × 8 = 32 | 2 × 8 = 16 |
5 × 9 = 45 | 9 × 9 = 81 |
3 × 9 = 27 | 7 × 9 = 63 |
4 × 9 = 36 | 8 × 9 = 72 |
6 × 9 = 54 | 2 × 9 = 18 |
9 × 12 = 108 | 7 × 12 = 84 |
5 × 12 = 60 | 3 × 12 = 36 |
6 × 12 = 72 | 8 × 12 = 96 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{4}{12}\) \(= \frac{1}{3}\)
Evaluate:
\( 2\frac{4}{5} − \frac{8}{9}\) \(= 1\frac{41}{45}\)
Find AB if AC = 4.3m and BC = 5.5m. 3.43m
Find angle BCA if AB = 5.4m and BC = 7.3m. 47.7o
Find AC if angle ABC = 28o and BC = 5.5m. 2.58m
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.
\( \frac{3}{8}\) \(= 0.375\)
Convert this decimal to a fraction.
\(0.17\) = \( \frac{17}{100}\)
Increase £140 by 10%
£154
What is the lowest common multiple of ten and forty.
= 40
6,14,22,30,38...
Find the:
a) next term; 46
b) nth term; 8n - 2
c) term number 41; 326
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 9; 1024
If £100 is invested for 7 years with a simple interest rate of 6%, find the amount of interest earned. £42.00
If £100 is invested with an interest rate of 6% compounded annually, find the value of the investment after 4 years. £126.25
If £1 is worth $1.23, convert:
a) £160 to dollars; $196.80
b) $100 to pounds; £81.30
What are the coordinates of the midpoint of the line joining:
\((-6,-1) \text{ and } (4,11)\)
(-1,5)
What is the gradient of the line joining:
\((8,8) \text{ and } (12,14)\)
\(\frac{3}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,4),(8,8),(1,7)\)
(4,11)
a) 12 − 18 = -6
b) 12 × (-11) = -132
c) (5−14)(10−21) = 99
d) 132 ÷ (-11) = -12
e) (-10)2 = 100
If p = 6, q = 23 and
r = -12 evaluate:
a) 2q − p = 40
b) pq + r = 126
c) p2 − 5q - r = -67
Solve:
\(3x = 27\)
\(x = 9\)
Solve:
\(5x -3= 32\)
\(x = 7\)
Solve:
\(11x +5= 6x + 25\)
\(x = 4\)
Solve:
\(4(4x -6)-5= 19\)
\(x = 3\)
Solve:
\(4(3x + 2)= 2(4x + 5)\)
\(x = 0.5\)
Solve:
\(4x+3y = 34\)
\(5x+3y = 38\)
\(x = 4, y = 6\)
Solve:
\(3x-5y = 8\)
\(5x-15y = 0\)
\(x = 6, y = 2\)
Solve:
\(2x-2y = -10\)
\(3x-5y = -34\)
\(x = 4.5, y = 9.5\)
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
{5,6,7,8,9,10}
{5}
A plane flies from point A to point B on a bearing of 206o. What bearing would it return on from B to A? 026o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
49 ÷ 7 × 56 ÷ 7
56
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a-10\)
Divide 77 in the ratio
6:5
42 and 35
Draw a rough sketch of the graph of:
\(y=2x-1\)
Gradient 2
y intercept -1
Express the following number as the product of prime numbers:
90
2 x 3 x 3 x 5
In a sale an item costs £75 after a 25% reduction. What was the original price?
£100
Find the mean, mode, median and range of the following:
1,3,5,7,9
Mean = 5, no mode,
median = 5 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.898989... \(\frac{89}{99}\)
Decrease £100 by 15%
£85
Expand:
\(7(6x-6)\)
\(42x-42\)
Expand:
\((4x+2)(4x-1)\)
\(16x^2+4x-2\)
Factorise:
\(8x-12\)
\(4(2x-3)\)
Factorise:
\(x^2-3x-4\)
\((x+1)(x-4)\)
Factorise:
\(x^2-x-6\)
\((x+2)(x-3)\)
Which theorem?
Find the value of:
2.17 × 10-2
= 0.0217
Write in standard form:
5110
= 5.11 × 103
Write in standard form:
0.0918
= 9.18 × 10-2
Find the nth term:
\(0, 13, 32, 57, 88, \)
\(3n^2+4n-7\)
Multiply 8 × 106
by 4 × 104 and give the answer in standard form.
= 3.2 × 1011
Solve:
\(x^2-2x-8= 0\)
\(x = 4\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-3x-5 = 0\)
\(x = 1.34\) and \(-0.744\)
What is the size of each interior angle of a regular octagon?
135°
Make \(e\) the subject of the formula
$$f=g(e+h)$$
$$e=\frac{f}{g}-h$$
Calculate the value of:
6156 ÷ 9
= 684
What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13
What is the difference between the 9th and the 10th square numbers?
19
What is the 7th prime number?
17
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: 5.55, 5, 0.5, 5.05, 5.5, 0.55, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 18mm, 1.08m, 17cm, 107cm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 18cl, 21cl, 200ml, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
h = 75
h = 75
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