What is the 8th:
a) Odd number; 15
b) Square number; 64
c) Prime number. 19
Find all the factors of:
25
1, 5, 25.
Subtract the 4th from the 8th multiples of:
6
24
What are the names of regular polygons with:
a) three sides;
b) four sides;
c) five sides.
Equilateral Triangle, Square and Pentagon (all regular)
Round the following numbers to three significant figures:
a) 14.82; 14.8
b) 254033; 254000
c) 0.001395; 0.00140
Find the area of a triangle that has a base of 3cm and a height of 8cm.
12cm2
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:
\( \frac{2}{3} + \frac{5}{8}\) \(= 1\frac{7}{24}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{6}\) \(= \frac{5}{8}\)
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.
\( \frac{1}{5}\) \(= 20\)%
Find the area of a circle that has a radius of 8cm. Give your answer to three significant figures.
201cm2
Find the circumference of a circle that has a radius of 5cm. Give your answer to three significant figures.
31.4cm
Calculate the value of:
5.9 + 3.8
= 9.7
Calculate the value of:
7.3 − 3.5
= 3.8
Calculate the value of:
2.8 × 6.5
= 18.2
Calculate the value of:
131.1 ÷ 19
= 6.9
What is the value of:
52
= 25
What is the value of:
\(125^{\frac{1}{3}}\)
\(= 5\)
Calculate the value of:
58 + 97
= 155
Calculate the value of:
93 − 28
= 65
Calculate the value of:
74 × 86
= 6364
Calculate the value of:
704 ÷ 16
= 44
Find the value of:
65% of 240
= 156
Find the value of:
4.88 × 106
= 4880000
Find the highest common factor of forty and fifteen.
= 5
8 × 3 = 24 | 5 × 3 = 15 |
7 × 3 = 21 | 3 × 2 = 6 |
9 × 2 = 18 | 6 × 3 = 18 |
4 × 2 = 8 | 2 × 4 = 8 |
8 × 9 = 72 | 7 × 11 = 77 |
5 × 11 = 55 | 3 × 9 = 27 |
9 × 10 = 90 | 4 × 2 = 8 |
6 × 10 = 60 | 2 × 6 = 12 |
5 × 2 = 10 | 8 × 2 = 16 |
7 × 2 = 14 | 4 × 2 = 8 |
9 × 2 = 18 | 3 × 2 = 6 |
6 × 2 = 12 | 2 × 2 = 4 |
6 × 3 = 18 | 5 × 3 = 15 |
9 × 3 = 27 | 4 × 3 = 12 |
8 × 3 = 24 | 3 × 3 = 9 |
7 × 3 = 21 | 2 × 3 = 6 |
8 × 4 = 32 | 5 × 4 = 20 |
3 × 4 = 12 | 4 × 4 = 16 |
7 × 4 = 28 | 9 × 4 = 36 |
6 × 4 = 24 | 2 × 4 = 8 |
7 × 5 = 35 | 6 × 5 = 30 |
9 × 5 = 45 | 8 × 5 = 40 |
3 × 5 = 15 | 5 × 5 = 25 |
4 × 5 = 20 | 2 × 5 = 10 |
6 × 6 = 36 | 3 × 6 = 18 |
4 × 6 = 24 | 8 × 6 = 48 |
7 × 6 = 42 | 9 × 6 = 54 |
5 × 6 = 30 | 2 × 6 = 12 |
4 × 7 = 28 | 5 × 7 = 35 |
7 × 7 = 49 | 9 × 7 = 63 |
3 × 7 = 21 | 6 × 7 = 42 |
8 × 7 = 56 | 2 × 7 = 14 |
3 × 8 = 24 | 8 × 8 = 64 |
6 × 8 = 48 | 5 × 8 = 40 |
4 × 8 = 32 | 9 × 8 = 72 |
7 × 8 = 56 | 2 × 8 = 16 |
6 × 9 = 54 | 8 × 9 = 72 |
4 × 9 = 36 | 7 × 9 = 63 |
9 × 9 = 81 | 3 × 9 = 27 |
5 × 9 = 45 | 2 × 9 = 18 |
5 × 12 = 60 | 3 × 12 = 36 |
9 × 12 = 108 | 7 × 12 = 84 |
8 × 12 = 96 | 4 × 12 = 48 |
6 × 12 = 72 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{40}{56}\) \(= \frac{5}{7}\)
Evaluate:
\( 1\frac{2}{3} − \frac{5}{6}\) \(= \frac{5}{6}\)
Find AB if AC = 5.1m and BC = 6.3m. 3.70m
Find angle BCA if AB = 3.8m and AC = 5.4m. 35.1o
Find AC if angle ABC = 26o and BC = 4.2m. 1.84m
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.
\( \frac{2}{3}\) \(= 0.667\)
Convert this decimal to a fraction.
\(0.91\) = \( \frac{91}{100}\)
Increase £100 by 20%
£120
What is the lowest common multiple of twelve and thirty two.
= 96
7,17,27,37,47...
Find the:
a) next term; 57
b) nth term; 10n - 3
c) term number 47; 467
7,28,112,448,1792...
Find the:
a) next term; 7168
b) nth term; 7 × 4n-1
c) term number 11; 7340032
If £240 is invested for 4 years with a simple interest rate of 3%, find the amount of interest earned. £28.80
If £180 is invested with an interest rate of 2% compounded annually, find the value of the investment after 5 years. £198.73
If £1 is worth $1.38, convert:
a) £180 to dollars; $248.40
b) $240 to pounds; £173.91
What are the coordinates of the midpoint of the line joining:
\((6,-5) \text{ and } (18,1)\)
(12,-2)
What is the gradient of the line joining:
\((-3,7) \text{ and } (3,12)\)
\(\frac{5}{6}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,1),(8,7),(-2,5)\)
(2,11)
a) 5 − 15 = -10
b) 5 × (-7) = -35
c) (8−17)(8−14) = 54
d) 35 ÷ (-7) = -5
e) (-5)2 = 25
If p = 5, q = 21 and
r = -11 evaluate:
a) 2q − p = 37
b) pq + r = 94
c) p2 − 5q - r = -69
Solve:
\(3x = 12\)
\(x = 4\)
Solve:
\(3x +4= 10\)
\(x = 2\)
Solve:
\(6x -6= 3x + 21\)
\(x = 9\)
Solve:
\(3(2x +6)+8= 56\)
\(x = 5\)
Solve:
\(5(3x + 5)= 2(4x + 5)\)
\(x = -2.14 \text{(to 3 sf)}\)
Solve:
\(6x-3y = 30\)
\(5x-3y = 24\)
\(x = 6, y = 2\)
Solve:
\(2x+2y = 16\)
\(5x-6y = -4\)
\(x = 4, y = 4\)
Solve:
\(2x+3y = -4.5\)
\(3x+2y = 2\)
\(x = 3, y = -3.5\)
Find the union of:
{1,2,3,4,5} and
{2,4,6,8,10}
{1,2,3,4,5,6,8,10}
Find the intersection of:
{6,7,8,9,10} and
{3,6,9,12,15}
{6,9}
A plane flies from point A to point B on a bearing of 258o. What bearing would it return on from B to A? 078o
A number is picked at random from the set
{1,3,5,7,9}
what is the probability it is even? 0
Evaluate:
(17 − 2)2 + 3 × 7
246
Simplify the following by collecting like terms:
\(b+4c-7b+4c\)
\(8c-6b\)
Divide 56 in the ratio
6:1
48 and 8
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:
270
2 x 3 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.
0.747474... \(\frac{74}{99}\)
Decrease £180 by 5%
£171
Expand:
\(5(2x-2)\)
\(10x-10\)
Expand:
\((3x+2)(2x-3)\)
\(6x^2-5x-6\)
Factorise:
\(6x-4\)
\(2(3x-2)\)
Factorise:
\(x^2-16\)
\((x+4)(x-4)\)
Factorise:
\(8x^2+10x-3\)
\((2x+3)(4x-1)\)
Which theorem?
Find the value of:
8.3 × 10-5
= 0.000083
Write in standard form:
64100
= 6.41 × 104
Write in standard form:
0.0694
= 6.94 × 10-2
Find the nth term:
\(8, 18, 32, 50, 72, \)
\(2n^2+4n+2\)
Multiply 5 × 106
by 7 × 103 and give the answer in standard form.
= 3.5 × 1010
Solve:
\(x^2+x-20= 0\)
\(x = 4\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+x-1 = 0\)
\(x = 0.434\) and \(-0.768\)
What is the size of each interior angle of a regular decagon?
144°
Make \(d\) the subject of the formula
$$e=\frac{2d-1}{3}$$
$$d=\frac{3e+1}{2}$$
Calculate the value of:
5008 ÷ 8
= 626
What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55
What is the difference between the 11th and the 12th square numbers?
23
What is the 10th prime number?
29
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: 0.77, 7.07, 7.77, 0.7, 7, 7.7, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,
Write down these lengths: 1.8m, 107cm, 18mm, 17cm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 17cl, 21cl, 18cl, 173ml, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
g = 122
d = 91
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