What is the 8th:
a) Odd number; 15
b) Square number; 64
c) Prime number. 19
Find all the factors of:
24
1, 2, 3, 4, 6, 8, 12, 24.
Subtract the 7th from the 12th multiples of:
7
35
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round the following numbers to three significant figures:
a) 33.68; 33.7
b) 114792; 115000
c) 0.006395; 0.00640
Find the area of a triangle that has a base of 3cm and a height of 7cm.
10.5cm2
Find the area of a trapezium that has a base of 10cm, a height of 12cm and a top (parallel to base) of 4cm. 84cm2
Evaluate:
\( \frac{2}{3} + \frac{6}{7}\) \(= 1\frac{11}{21}\)
Evaluate:
\( \frac{2}{3} × \frac{5}{7}\) \(= \frac{10}{21}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{7}{5}\) \(= \frac{10}{21}\)
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.
\( \frac{2}{7}\) \(= 28.6\)%
Find the area of a circle that has a radius of 10cm. Give your answer to three significant figures.
314cm2
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:
5.6 + 3.4
= 9
Calculate the value of:
8.1 − 1.9
= 6.2
Calculate the value of:
3.8 × 2.3
= 8.74
Calculate the value of:
118.8 ÷ 12
= 9.9
What is the value of:
32
= 9
What is the value of:
\(2^{0}\)
\(= 1\)
Calculate the value of:
96 + 89
= 185
Calculate the value of:
61 − 28
= 33
Calculate the value of:
76 × 95
= 7220
Calculate the value of:
1924 ÷ 26
= 74
Find the value of:
70% of 280
= 196
Find the value of:
1.75 × 106
= 1750000
Find the highest common factor of eighteen and six.
= 6
5 × 5 = 25 | 4 × 3 = 12 |
3 × 5 = 15 | 9 × 2 = 18 |
7 × 5 = 35 | 8 × 5 = 40 |
6 × 3 = 18 | 2 × 2 = 4 |
7 × 5 = 35 | 6 × 3 = 18 |
4 × 6 = 24 | 5 × 12 = 60 |
8 × 12 = 96 | 9 × 4 = 36 |
3 × 4 = 12 | 2 × 8 = 16 |
5 × 2 = 10 | 4 × 2 = 8 |
9 × 2 = 18 | 6 × 2 = 12 |
3 × 2 = 6 | 8 × 2 = 16 |
7 × 2 = 14 | 2 × 2 = 4 |
4 × 3 = 12 | 9 × 3 = 27 |
8 × 3 = 24 | 7 × 3 = 21 |
6 × 3 = 18 | 3 × 3 = 9 |
5 × 3 = 15 | 2 × 3 = 6 |
8 × 4 = 32 | 6 × 4 = 24 |
7 × 4 = 28 | 5 × 4 = 20 |
9 × 4 = 36 | 4 × 4 = 16 |
3 × 4 = 12 | 2 × 4 = 8 |
5 × 5 = 25 | 6 × 5 = 30 |
9 × 5 = 45 | 4 × 5 = 20 |
7 × 5 = 35 | 8 × 5 = 40 |
3 × 5 = 15 | 2 × 5 = 10 |
6 × 6 = 36 | 5 × 6 = 30 |
8 × 6 = 48 | 3 × 6 = 18 |
4 × 6 = 24 | 7 × 6 = 42 |
9 × 6 = 54 | 2 × 6 = 12 |
8 × 7 = 56 | 7 × 7 = 49 |
4 × 7 = 28 | 5 × 7 = 35 |
3 × 7 = 21 | 9 × 7 = 63 |
6 × 7 = 42 | 2 × 7 = 14 |
8 × 8 = 64 | 9 × 8 = 72 |
4 × 8 = 32 | 3 × 8 = 24 |
6 × 8 = 48 | 7 × 8 = 56 |
5 × 8 = 40 | 2 × 8 = 16 |
8 × 9 = 72 | 3 × 9 = 27 |
4 × 9 = 36 | 5 × 9 = 45 |
7 × 9 = 63 | 6 × 9 = 54 |
9 × 9 = 81 | 2 × 9 = 18 |
8 × 12 = 96 | 9 × 12 = 108 |
3 × 12 = 36 | 5 × 12 = 60 |
7 × 12 = 84 | 6 × 12 = 72 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{20}{32}\) \(= \frac{5}{8}\)
Evaluate:
\( 3\frac{4}{5} − \frac{7}{8}\) \(= 2\frac{37}{40}\)
Find AB if AC = 5m and BC = 6.5m. 4.15m
Find angle BCA if AC = 5.3m and BC = 7.2m. 42.6o
Find BC if angle BCA = 67o and AB = 5.7m. 6.19m
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.
\( \frac{4}{9}\) \(= 0.444\)
Convert this decimal to a fraction.
\(0.35\) = \( \frac{7}{20}\)
Increase £140 by 5%
£147
What is the lowest common multiple of ten and forty.
= 40
6,19,32,45,58...
Find the:
a) next term; 71
b) nth term; 13n - 7
c) term number 53; 682
5,15,45,135,405...
Find the:
a) next term; 1215
b) nth term; 5 × 3n-1
c) term number 11; 295245
If £200 is invested for 8 years with a simple interest rate of 3%, find the amount of interest earned. £48.00
If £180 is invested with an interest rate of 3% compounded annually, find the value of the investment after 8 years. £228.02
If £1 is worth $1.26, convert:
a) £120 to dollars; $151.20
b) $200 to pounds; £158.73
What are the coordinates of the midpoint of the line joining:
\((7,-5) \text{ and } (15,1)\)
(11,-2)
What is the gradient of the line joining:
\((4,0) \text{ and } (10,4)\)
\(\frac{2}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,4),(7,8),(0,7)\)
(3,11)
a) 6 − 13 = -7
b) 6 × (-8) = -48
c) (9−19)(5−14) = 90
d) 48 ÷ (-8) = -6
e) (-11)2 = 121
If p = 6, q = 18 and
r = -11 evaluate:
a) 2q − p = 30
b) pq + r = 97
c) p2 − 5q - r = -43
Solve:
\(3x = 24\)
\(x = 8\)
Solve:
\(3x +7= 22\)
\(x = 5\)
Solve:
\(8x +2= 6x + 16\)
\(x = 7\)
Solve:
\(3(5x +6)+9= 132\)
\(x = 7\)
Solve:
\(4(2x + 4)= 3(2x + 2)\)
\(x = -5\)
Solve:
\(3x-3y = -6\)
\(2x-3y = -11\)
\(x = 5, y = 7\)
Solve:
\(4x-5y = -2\)
\(5x+10y = 30\)
\(x = 2, y = 2\)
Solve:
\(2x+2y = 21\)
\(3x+5y = 42.5\)
\(x = 5, y = 5.5\)
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:
{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 033o. What bearing would it return on from B to A? 213o
A number is picked at random from the set
{6,7,8,9,10}
what is the probability it is even? \(\frac35\)
Evaluate:
(16 − 4)2 + 6 × 4
168
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 110 in the ratio
9:1
99 and 11
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:
108
2 x 2 x 3 x 3 x 3
In a sale an item costs £144 after a 20% 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.
0.979797... \(\frac{97}{99}\)
Decrease £60 by 10%
£54
Expand:
\(4(6x-8)\)
\(24x-32\)
Expand:
\((3x+4)(3x-3)\)
\(9x^2+3x-12\)
Factorise:
\(9x-24\)
\(3(3x-8)\)
Factorise:
\(x^2-9\)
\((x+3)(x-3)\)
Factorise:
\(3x^2+2x-1\)
\((x+1)(3x-1)\)
Which theorem?
Find the value of:
3.43 × 10-5
= 0.0000343
Write in standard form:
64600
= 6.46 × 104
Write in standard form:
0.000238
= 2.38 × 10-4
Find the nth term:
\(12, 23, 40, 63, 92, \)
\(3n^2+2n+7\)
Multiply 8 × 104
by 9 × 106 and give the answer in standard form.
= 7.2 × 1011
Solve:
\(x^2-x-12= 0\)
\(x = 4\) and \(-3\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2+3x-3 = 0\)
\(x = 0.569\) and \(-1.32\)
What is the size of each exterior angle of a regular heptagon?
51.4°
Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$
$$j=\frac{bc}{3}+4$$
Calculate the value of:
1192 ÷ 2
= 596
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What are the three largest square numbers less than
144
121, 100, 81
What are the three largest prime numbers less than
41
37, 31, 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: 6.66, 6.06, 0.6, 6.6, 0.66, 6, 0.06, in ascending order.
0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,
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: 18cl, 200ml, 21cl, 173ml, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
d = 99
h = 75
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