What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37
Find all the factors of:
49
1, 7, 49.
Subtract the 4th from the 8th multiples of:
8
32
What are the names of regular polygons with:
a) four sides;
b) five sides;
c) six sides.
Square, Pentagon and Hexagon (all regular)
Round to three significant figures:
a) 51.44; 51.4
b) 161775; 162000
c) 60; 60.0
d) 0.006095; 0.00610
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 9cm, a height of 7cm and a top (parallel to base) of 3cm. 42cm2
Evaluate:
\( \frac{4}{5} + \frac{7}{9}\) \(= 1\frac{26}{45}\)
Evaluate:
\( \frac{2}{4} × \frac{5}{6}\) \(= \frac{5}{12}\)
Evaluate:
\( \frac{1}{2} ÷ \frac{5}{4}\) \(= \frac{2}{5}\)
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 12cm. Give your answer to three significant figures.
452cm2
Find the circumference of a circle that has a radius of 9cm. Give your answer to three significant figures.
56.5cm
Calculate the value of:
5.9 + 6.6
= 12.5
Calculate the value of:
9.4 − 4.5
= 4.9
Calculate the value of:
3.6 × 9.2
= 33.12
Calculate the value of:
76.7 ÷ 13
= 5.9
What is the value of:
43
= 64
What is the value of:
\(2^{0}\)
\(= 1\)
Calculate the value of:
59 + 34
= 93
Calculate the value of:
94 − 27
= 67
Calculate the value of:
36 × 79
= 2844
Calculate the value of:
1650 ÷ 22
= 75
Find the value of:
10% of 300
= 30
Find the value of:
5.83 × 105
= 583000
Find the highest common factor of thirty two and twelve.
= 4
5 × 4 = 20 | 6 × 2 = 12 |
7 × 2 = 14 | 8 × 2 = 16 |
9 × 5 = 45 | 4 × 4 = 16 |
3 × 2 = 6 | 2 × 4 = 8 |
6 × 2 = 12 | 9 × 8 = 72 |
5 × 4 = 20 | 7 × 3 = 21 |
8 × 8 = 64 | 3 × 12 = 36 |
4 × 4 = 16 | 2 × 4 = 8 |
6 × 2 = 12 | 4 × 2 = 8 |
5 × 2 = 10 | 8 × 2 = 16 |
7 × 2 = 14 | 9 × 2 = 18 |
3 × 2 = 6 | 2 × 2 = 4 |
6 × 3 = 18 | 3 × 3 = 9 |
4 × 3 = 12 | 8 × 3 = 24 |
9 × 3 = 27 | 5 × 3 = 15 |
7 × 3 = 21 | 2 × 3 = 6 |
9 × 4 = 36 | 4 × 4 = 16 |
5 × 4 = 20 | 6 × 4 = 24 |
3 × 4 = 12 | 8 × 4 = 32 |
7 × 4 = 28 | 2 × 4 = 8 |
8 × 5 = 40 | 3 × 5 = 15 |
9 × 5 = 45 | 7 × 5 = 35 |
4 × 5 = 20 | 5 × 5 = 25 |
6 × 5 = 30 | 2 × 5 = 10 |
8 × 6 = 48 | 3 × 6 = 18 |
7 × 6 = 42 | 6 × 6 = 36 |
5 × 6 = 30 | 9 × 6 = 54 |
4 × 6 = 24 | 2 × 6 = 12 |
8 × 7 = 56 | 6 × 7 = 42 |
7 × 7 = 49 | 3 × 7 = 21 |
5 × 7 = 35 | 9 × 7 = 63 |
4 × 7 = 28 | 2 × 7 = 14 |
9 × 8 = 72 | 8 × 8 = 64 |
7 × 8 = 56 | 5 × 8 = 40 |
3 × 8 = 24 | 4 × 8 = 32 |
6 × 8 = 48 | 2 × 8 = 16 |
8 × 9 = 72 | 6 × 9 = 54 |
5 × 9 = 45 | 3 × 9 = 27 |
7 × 9 = 63 | 9 × 9 = 81 |
4 × 9 = 36 | 2 × 9 = 18 |
5 × 12 = 60 | 4 × 12 = 48 |
6 × 12 = 72 | 9 × 12 = 108 |
7 × 12 = 84 | 8 × 12 = 96 |
3 × 12 = 36 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{24}{48}\) \(= \frac{1}{2}\)
Evaluate:
\( 3\frac{3}{4} − \frac{5}{6}\) \(= 2\frac{11}{12}\)
Find AC if AB = 6m and BC = 7.1m. 3.80m
Find angle ABC if AB = 5.8m and BC = 6.8m. 31.5o
Find AC if angle BCA = 50o and AB = 4.6m. 3.86m
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.
\(0.22\) = \( \frac{11}{50}\)
Increase £140 by 5%
£147
What is the lowest common multiple of six and ten.
= 30
7,21,35,49,63...
Find the:
a) next term; 77
b) nth term; 14n - 7
c) term number 32; 441
3,6,12,24,48...
Find the:
a) next term; 96
b) nth term; 3 × 2n-1
c) term number 12; 6144
If £180 is invested for 5 years with a simple interest rate of 4%, find the amount of interest earned. £36.00
If £240 is invested with an interest rate of 5% compounded annually, find the value of the investment after 7 years. £337.70
If £1 is worth $1.29, convert:
a) £220 to dollars; $283.80
b) $200 to pounds; £155.04
What are the coordinates of the midpoint of the line joining:
\((-6,-9) \text{ and } (0,-3)\)
(-3,-6)
What is the gradient of the line joining:
\((7,1) \text{ and } (13,6)\)
\(\frac{5}{6}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((2,5),(5,10),(-3,8)\)
(0,13)
a) 9 − 17 = -8
b) 9 × (-5) = -45
c) (7−16)(6−16) = 90
d) 45 ÷ (-5) = -9
e) (-8)2 = 64
If p = 5, q = 23 and
r = -9 evaluate:
a) 2q − p = 41
b) pq + r = 106
c) p2 − 5q - r = -81
Solve:
\(2x = 4\)
\(x = 2\)
Solve:
\(2x +7= 15\)
\(x = 4\)
Solve:
\(5x +2= 4x + 8\)
\(x = 6\)
Solve:
\(5(2x +3)+7= 72\)
\(x = 5\)
Solve:
\(4(5x + 5)= 5(2x + 2)\)
\(x = -1\)
Solve:
\(4x-4y = 16\)
\(5x-4y = 22\)
\(x = 6, y = 2\)
Solve:
\(4x+4y = 56\)
\(6x+16y = 154\)
\(x = 7, y = 7\)
Solve:
\(5x+3y = -8.5\)
\(3x+2y = -6.5\)
\(x = 2.5, y = -7\)
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
{2,4,6,8,10}
{2,4}
A plane flies from point A to point B on a bearing of 050o. What bearing would it return on from B to A? 230o
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
3 + 9 × 9 − 2
82
Simplify the following by collecting like terms:
\(3a+5b-3a+4b^2\)
\(5b+4b^2\)
Divide 24 in the ratio
1:3
6 and 18
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:
36
2 x 2 x 3 x 3
In a sale an item costs £153 after a 15% reduction. What was the original price?
£180
Find the mean, mode, median and range of the following:
2,4,6,8,10
Mean = 6, no mode,
median = 6 and range = 8
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.626262... \(\frac{62}{99}\)
Decrease £160 by 40%
£96
Expand:
\(6(6x-9)\)
\(36x-54\)
Expand:
\((3x+3)(3x-4)\)
\(9x^2-3x-12\)
Factorise:
\(30x-48\)
\(6(5x-8)\)
Factorise:
\(x^2-4\)
\((x+2)(x-2)\)
Factorise:
\(16x^2+8x-3\)
\((4x+3)(4x-1)\)
Which theorem?
Find the value of:
5.84 × 10-2
= 0.0584
Write in standard form:
36600
= 3.66 × 104
Write in standard form:
0.00612
= 6.12 × 10-3
Find the nth term:
\(15, 26, 43, 66, 95, \)
\(3n^2+2n+10\)
Multiply 4 × 103
by 9 × 103 and give the answer in standard form.
= 3.6 × 107
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2+4x-1 = 0\)
\(x = 0.207\) and \(-1.21\)
What is the size of each exterior angle of a regular nonagon?
40°
Make \(b\) the subject of the formula
$$c=3b-5$$
$$b=\frac{c+5}{3}$$
Calculate the value of:
2394 ÷ 3
= 798
What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55
What is the square of
3
9
What are the next three prime numbers after
23
29, 31, 37
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: 0.1, 1, 1.1, 1.01, 0.11, 1.11, 0.01, in ascending order.
0.01, 0.1, 0.11, 1, 1.01, 1.1, 1.11,
Write down these lengths: 18mm, 1.8m, 107cm, 1.08m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 21cl, 200ml, 173ml, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
i = 54
j = 58
Round to one significant figure:
a) 27.84; 30
b) 894621; 900000
c) 50; 50
d) 0.00657; 0.007
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