What is the 9th:
a) Odd number; 17
b) Square number; 81
c) Prime number. 23
Find all the factors of:
28
1, 2, 4, 7, 14, 28.
Subtract the 7th from the 12th multiples of:
3
15
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) 96.21; 96.2
b) 690340; 690000
c) 0.002795; 0.00280
Find the area of a triangle that has a base of 6cm and a height of 10cm.
30cm2
Find the area of a trapezium that has a base of 10cm, a height of 8cm and a top (parallel to base) of 4cm. 56cm2
Evaluate:
\( \frac{2}{5} + \frac{8}{11}\) \(= 1\frac{7}{55}\)
Evaluate:
\( \frac{3}{5} × \frac{7}{9}\) \(= \frac{7}{15}\)
Evaluate:
\( \frac{3}{5} ÷ \frac{8}{7}\) \(= \frac{21}{40}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{3}{8}\) \(= 37.5\)%
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 5cm. Give your answer to three significant figures.
31.4cm
Calculate the value of:
3.8 + 3.4
= 7.2
Calculate the value of:
6.3 − 1.6
= 4.7
Calculate the value of:
7.8 × 2.9
= 22.62
Calculate the value of:
110.5 ÷ 13
= 8.5
What is the value of:
23
= 8
What is the value of:
\(4^{-2}\)
\(= \frac{1}{16}\)
Calculate the value of:
77 + 57
= 134
Calculate the value of:
93 − 28
= 65
Calculate the value of:
59 × 96
= 5664
Calculate the value of:
1540 ÷ 28
= 55
Find the value of:
35% of 60
= 21
Find the value of:
9.52 × 106
= 9520000
Find the highest common factor of thirty five and ten.
= 5
3 × 5 = 15 | 8 × 2 = 16 |
5 × 2 = 10 | 7 × 3 = 21 |
6 × 4 = 24 | 4 × 5 = 20 |
9 × 2 = 18 | 2 × 4 = 8 |
7 × 12 = 84 | 5 × 12 = 60 |
4 × 4 = 16 | 9 × 9 = 81 |
8 × 4 = 32 | 3 × 9 = 27 |
6 × 8 = 48 | 2 × 12 = 24 |
5 × 2 = 10 | 4 × 2 = 8 |
7 × 2 = 14 | 6 × 2 = 12 |
9 × 2 = 18 | 8 × 2 = 16 |
3 × 2 = 6 | 2 × 2 = 4 |
3 × 3 = 9 | 5 × 3 = 15 |
9 × 3 = 27 | 6 × 3 = 18 |
8 × 3 = 24 | 7 × 3 = 21 |
4 × 3 = 12 | 2 × 3 = 6 |
5 × 4 = 20 | 8 × 4 = 32 |
4 × 4 = 16 | 9 × 4 = 36 |
3 × 4 = 12 | 7 × 4 = 28 |
6 × 4 = 24 | 2 × 4 = 8 |
4 × 5 = 20 | 3 × 5 = 15 |
8 × 5 = 40 | 9 × 5 = 45 |
7 × 5 = 35 | 6 × 5 = 30 |
5 × 5 = 25 | 2 × 5 = 10 |
3 × 6 = 18 | 4 × 6 = 24 |
5 × 6 = 30 | 7 × 6 = 42 |
6 × 6 = 36 | 9 × 6 = 54 |
8 × 6 = 48 | 2 × 6 = 12 |
3 × 7 = 21 | 7 × 7 = 49 |
4 × 7 = 28 | 5 × 7 = 35 |
6 × 7 = 42 | 9 × 7 = 63 |
8 × 7 = 56 | 2 × 7 = 14 |
5 × 8 = 40 | 4 × 8 = 32 |
8 × 8 = 64 | 6 × 8 = 48 |
3 × 8 = 24 | 7 × 8 = 56 |
9 × 8 = 72 | 2 × 8 = 16 |
4 × 9 = 36 | 7 × 9 = 63 |
9 × 9 = 81 | 8 × 9 = 72 |
3 × 9 = 27 | 5 × 9 = 45 |
6 × 9 = 54 | 2 × 9 = 18 |
8 × 12 = 96 | 3 × 12 = 36 |
7 × 12 = 84 | 9 × 12 = 108 |
4 × 12 = 48 | 6 × 12 = 72 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{9}{27}\) \(= \frac{1}{3}\)
Evaluate:
\( 3\frac{1}{2} − \frac{5}{6}\) \(= 2\frac{2}{3}\)
Find AC if AB = 5m and BC = 6.4m. 3.99m
Find angle BCA if AB = 3.3m and AC = 4.6m. 35.7o
Find AC if angle BCA = 39o and AB = 4.1m. 5.06m
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.
\(0.77\) = \( \frac{77}{100}\)
Increase £120 by 45%
£174
What is the lowest common multiple of eight and twenty.
= 40
3,10,17,24,31...
Find the:
a) next term; 38
b) nth term; 7n - 4
c) term number 48; 332
3,6,12,24,48...
Find the:
a) next term; 96
b) nth term; 3 × 2n-1
c) term number 12; 6144
If £140 is invested for 8 years with a simple interest rate of 3%, find the amount of interest earned. £33.60
If £200 is invested with an interest rate of 4% compounded annually, find the value of the investment after 7 years. £263.19
If £1 is worth $1.33, convert:
a) £140 to dollars; $186.20
b) $220 to pounds; £165.41
What are the coordinates of the midpoint of the line joining:
\((9,8) \text{ and } (19,16)\)
(14,12)
What is the gradient of the line joining:
\((3,-9) \text{ and } (6,-5)\)
\(\frac{4}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,5),(7,9),(-1,9)\)
(3,13)
a) 5 − 16 = -11
b) 5 × (-9) = -45
c) (11−16)(5−10) = 25
d) 45 ÷ (-9) = -5
e) (-10)2 = 100
If p = 5, q = 22 and
r = -7 evaluate:
a) 2q − p = 39
b) pq + r = 103
c) p2 − 5q - r = -78
Solve:
\(5x = 10\)
\(x = 2\)
Solve:
\(5x -7= 3\)
\(x = 2\)
Solve:
\(4x -3= 2x + 15\)
\(x = 9\)
Solve:
\(5(5x +5)+11= 261\)
\(x = 9\)
Solve:
\(2(2x + 4)= 5(4x + 2)\)
\(x = -0.125\)
Solve:
\(5x+3y = 40\)
\(4x-3y = 5\)
\(x = 5, y = 5\)
Solve:
\(4x-3y = 18\)
\(7x+9y = 60\)
\(x = 6, y = 2\)
Solve:
\(3x-3y = 0\)
\(7x+2y = 31.5\)
\(x = 3.5, y = 3.5\)
Find the union of:
{2,4,6,8,10} and
{1,3,6,10,15}
{1,2,3,4,6,8,10,15}
Find the intersection of:
{1,2,3,4,5} and
{2,4,6,8,10}
{2,4}
A plane flies from point A to point B on a bearing of 320o. What bearing would it return on from B to A? 140o
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
42 ÷ 7 × 6 ÷ 2
18
Simplify the following by collecting like terms:
\(3n+7−2n+8\)
\(n+15\)
Divide 143 in the ratio
6:5
78 and 65
Draw a rough sketch of the graph of:
\(2y=x\)
Gradient 0.5
y intercept 0
Express the following number as the product of prime numbers:
18
2 x 3 x 3
In a sale an item costs £51 after a 15% reduction. What was the original price?
£60
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.
0.464646... \(\frac{46}{99}\)
Decrease £60 by 5%
£57
Expand:
\(3(8x-4)\)
\(24x-12\)
Expand:
\((2x+4)(3x-4)\)
\(6x^2+4x-16\)
Factorise:
\(8x-2\)
\(2(4x-1)\)
Factorise:
\(x^2+2x-8\)
\((x+4)(x-2)\)
Factorise:
\(2x^2+3x-2\)
\((x+2)(2x-1)\)
Which theorem?
Find the value of:
6.24 × 10-3
= 0.00624
Write in standard form:
77900
= 7.79 × 104
Write in standard form:
0.0000378
= 3.78 × 10-5
Find the nth term:
\(-2, 5, 16, 31, 50, \)
\(2n^2+n-5\)
Multiply 9 × 103
by 4 × 104 and give the answer in standard form.
= 3.6 × 108
Solve:
\(x^2+x-6= 0\)
\(x = 2\) and \(-3\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+3x-1 = 0\)
\(x = 0.264\) and \(-1.26\)
What is the size of each interior angle of a regular pentagon?
108°
Make \(b\) the subject of the formula
$$c=3b-5$$
$$b=\frac{c+5}{3}$$
Calculate the value of:
1448 ÷ 4
= 362
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What are the next three square numbers after
49
64, 81, 100
What is the difference between the 7th and the 8th prime numbers?
19 - 17 = 2
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: 2.02, 2.2, 0.22, 2, 2.22, 0.2, 0.02, in ascending order.
0.02, 0.2, 0.22, 2, 2.02, 2.2, 2.22,
Write down these lengths: 18mm, 1.8m, 1.08m, 17cm, 107cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 173ml, 200ml, 18cl, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
j = 97
i = 97
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