What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
30
1, 2, 3, 5, 6, 10, 15, 30.
Subtract the 6th from the 10th multiples of:
8
32
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 to three significant figures:
a) 64.48; 64.5
b) 854958; 855000
c) 56; 56.0
d) 0.005695; 0.00570
Find the area of a triangle that has a base of 7cm and a height of 11cm.
38.5cm2
Find the area of a trapezium that has a base of 13cm, a height of 12cm and a top (parallel to base) of 3cm. 96cm2
Evaluate:
\( \frac{1}{3} + \frac{4}{7}\) \(= \frac{19}{21}\)
Evaluate:
\( \frac{3}{5} × \frac{7}{8}\) \(= \frac{21}{40}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{5}{4}\) \(= \frac{8}{15}\)
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 1cm. Give your answer to three significant figures.
3.14cm2
Find the circumference of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm
Calculate the value of:
5.7 + 3.9
= 9.6
Calculate the value of:
7.3 − 3.7
= 3.6
Calculate the value of:
7.2 × 6.3
= 45.36
Calculate the value of:
87 ÷ 15
= 5.8
What is the value of:
33
= 27
What is the value of:
\(8^{\frac{1}{3}}\)
\(= 2\)
Calculate the value of:
55 + 78
= 133
Calculate the value of:
72 − 26
= 46
Calculate the value of:
45 × 85
= 3825
Calculate the value of:
2156 ÷ 28
= 77
Find the value of:
60% of 60
= 36
Find the value of:
6.9 × 105
= 690000
Find the highest common factor of thirty five and ten.
= 5
6 × 4 = 24 | 3 × 3 = 9 |
8 × 5 = 40 | 9 × 4 = 36 |
4 × 5 = 20 | 7 × 4 = 28 |
5 × 5 = 25 | 2 × 5 = 10 |
8 × 9 = 72 | 5 × 11 = 55 |
9 × 3 = 27 | 4 × 7 = 28 |
6 × 9 = 54 | 7 × 11 = 77 |
3 × 2 = 6 | 2 × 10 = 20 |
3 × 2 = 6 | 7 × 2 = 14 |
6 × 2 = 12 | 4 × 2 = 8 |
8 × 2 = 16 | 9 × 2 = 18 |
5 × 2 = 10 | 2 × 2 = 4 |
8 × 3 = 24 | 6 × 3 = 18 |
5 × 3 = 15 | 4 × 3 = 12 |
3 × 3 = 9 | 7 × 3 = 21 |
9 × 3 = 27 | 2 × 3 = 6 |
5 × 4 = 20 | 9 × 4 = 36 |
4 × 4 = 16 | 6 × 4 = 24 |
8 × 4 = 32 | 3 × 4 = 12 |
7 × 4 = 28 | 2 × 4 = 8 |
6 × 5 = 30 | 8 × 5 = 40 |
4 × 5 = 20 | 5 × 5 = 25 |
3 × 5 = 15 | 9 × 5 = 45 |
7 × 5 = 35 | 2 × 5 = 10 |
5 × 6 = 30 | 4 × 6 = 24 |
7 × 6 = 42 | 9 × 6 = 54 |
3 × 6 = 18 | 8 × 6 = 48 |
6 × 6 = 36 | 2 × 6 = 12 |
3 × 7 = 21 | 8 × 7 = 56 |
5 × 7 = 35 | 7 × 7 = 49 |
4 × 7 = 28 | 9 × 7 = 63 |
6 × 7 = 42 | 2 × 7 = 14 |
6 × 8 = 48 | 4 × 8 = 32 |
5 × 8 = 40 | 9 × 8 = 72 |
3 × 8 = 24 | 8 × 8 = 64 |
7 × 8 = 56 | 2 × 8 = 16 |
6 × 9 = 54 | 8 × 9 = 72 |
7 × 9 = 63 | 4 × 9 = 36 |
9 × 9 = 81 | 5 × 9 = 45 |
3 × 9 = 27 | 2 × 9 = 18 |
7 × 12 = 84 | 9 × 12 = 108 |
3 × 12 = 36 | 6 × 12 = 72 |
5 × 12 = 60 | 8 × 12 = 96 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{12}{24}\) \(= \frac{1}{2}\)
Evaluate:
\( 2\frac{4}{5} − \frac{7}{8}\) \(= 1\frac{37}{40}\)
Find BC if AB = 3.6m and AC = 4.9m. 6.08m
Find angle ABC if AB = 4.9m and BC = 6.5m. 41.1o
Find BC if angle BCA = 64o and AC = 5.7m. 13.0m
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.
\( \frac{2}{6}\) \(= 0.333\)
Convert this decimal to a fraction.
\(0.96\) = \( \frac{24}{25}\)
Increase £20 by 25%
£25
What is the lowest common multiple of fifteen and forty.
= 120
5,15,25,35,45...
Find the:
a) next term; 55
b) nth term; 10n - 5
c) term number 38; 375
6,24,96,384,1536...
Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 10; 1572864
If £140 is invested for 9 years with a simple interest rate of 3%, find the amount of interest earned. £37.80
If £200 is invested with an interest rate of 5% compounded annually, find the value of the investment after 5 years. £255.26
If £1 is worth $1.35, convert:
a) £200 to dollars; $270.00
b) $200 to pounds; £148.15
What are the coordinates of the midpoint of the line joining:
\((8,-8) \text{ and } (20,-2)\)
(14,-5)
What is the gradient of the line joining:
\((8,2) \text{ and } (12,6)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,5),(10,8),(1,11)\)
(7,14)
a) 12 − 24 = -12
b) 12 × (-11) = -132
c) (9−17)(12−19) = 56
d) 132 ÷ (-11) = -12
e) (-10)2 = 100
If p = 6, q = 30 and
r = -6 evaluate:
a) 2q − p = 54
b) pq + r = 174
c) p2 − 5q - r = -108
Solve:
\(5x = 10\)
\(x = 2\)
Solve:
\(5x +7= 37\)
\(x = 6\)
Solve:
\(6x -6= 3x + 15\)
\(x = 7\)
Solve:
\(2(5x +5)-9= 51\)
\(x = 5\)
Solve:
\(5(4x + 3)= 2(2x + 3)\)
\(x = -0.562 \text{(to 3 sf)}\)
Solve:
\(3x-2y = 8\)
\(4x+2y = 34\)
\(x = 6, y = 5\)
Solve:
\(2x+3y = 17\)
\(7x-9y = 1\)
\(x = 4, y = 3\)
Solve:
\(5x-5y = 30\)
\(3x+2y = -29.5\)
\(x = -3.5, y = -9.5\)
Find the union of:
{1,3,5,7,9} and
{5,6,7,8,9,10}
{1,3,5,6,7,8,9,10}
Find the intersection of:
{5,6,7,8,9,10} and
{3,6,9,12,15}
{6,9}
A plane flies from point A to point B on a bearing of 134o. What bearing would it return on from B to A? 314o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
4 + 7 × 6 − 5
41
Simplify the following by collecting like terms:
\(3y+2w+7y\)
\(10y+2w\)
Divide 195 in the ratio
7:6
105 and 90
Draw a rough sketch of the graph of:
\(y=2x\)
Gradient 2
y intercept 0
Express the following number as the product of prime numbers:
12
2 x 2 x 3
In a sale an item costs £24 after a 40% reduction. What was the original price?
£40
Find the mean, mode, median and range of the following:
1,2,3,4,5
Mean = 3, no mode,
median = 3 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.616161... \(\frac{61}{99}\)
Decrease £120 by 20%
£96
Expand:
\(9(6x-9)\)
\(54x-81\)
Expand:
\((x+3)(x-4)\)
\(x^2-x-12\)
Factorise:
\(3x-3\)
\(3(x-1)\)
Factorise:
\(x^2+x-6\)
\((x+3)(x-2)\)
Factorise:
\(4x^2-11x-3\)
\((4x+1)(x-3)\)
Which theorem?
Find the value of:
4.17 × 10-4
= 0.000417
Write in standard form:
17300
= 1.73 × 104
Write in standard form:
0.00846
= 8.46 × 10-3
Find the nth term:
\(-1, 4, 11, 20, 31, \)
\(n^2+2n-4\)
Multiply 4 × 105
by 4 × 105 and give the answer in standard form.
= 1.6 × 1011
Solve:
\(x^2+2x-15= 0\)
\(x = 3\) and \(-5\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+x-5 = 0\)
\(x = 1.35\) and \(-1.85\)
What is the size of each interior angle of a regular octagon?
135°
Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$
$$j=\frac{bc}{3}+4$$
Calculate the value of:
3456 ÷ 6
= 576
What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89
What is the square of
3
9
What are the next three prime numbers after
41
43, 47, 53
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, 0.5, 5.05, 0.55, 5.5, 5.55, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 1.08m, 18mm, 107cm, 1.8m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 21cl, 200ml, 17cl, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
f = 132
j = 58
Round to one significant figure:
a) 96.88; 100
b) 393541; 400000
c) 82; 80
d) 0.00845; 0.008
Round each value to one significant figure to make an estimate:$$34 + 6.9 \times 34$$\(30 + 7 \times 30 = 240\)
A pie chart shows the colours of 90 books. What sector angle represents the
20 red books?
80°
What is the equation?
\(y=0.5x+1\)A pie chart shows the colours of 120 hats. How many green hats are represented
by a sector
angle of 273°?
91
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