
What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13
Find all the factors of:
26
1, 2, 13, 26.
Subtract the 6th from the 9th multiples of:
7
21
What are the names of regular polygons with:
a) seven sides;
b) eight sides;
c) nine sides.
Heptagon, Octagon and Nonagon (all regular)
Round to three significant figures:
a) 64.56; 64.6
b) 339021; 339000
c) 24; 24.0
d) 0.002495; 0.00250
Find the area of a triangle that has a base of 5cm and a height of 8cm.
20cm2
Find the area of a trapezium that has a base of 15cm, a height of 6cm and a top (parallel to base) of 7cm. 66cm2
Evaluate:
\( \frac{2}{5} + \frac{7}{8}\) \(= 1\frac{11}{40}\)
Evaluate:
\( \frac{2}{3} × \frac{5}{6}\) \(= \frac{5}{9}\)
Evaluate:
\( \frac{3}{4} ÷ \frac{7}{6}\) \(= \frac{9}{14}\)
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 3cm. Give your answer to three significant figures.
28.3cm2
Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.
44.0cm
Calculate the value of:
8.9 + 8.4
= 17.3
Calculate the value of:
8.3 − 2.7
= 5.6
Calculate the value of:
3.4 × 2.4
= 8.16
Calculate the value of:
88.5 ÷ 15
= 5.9
What is the value of:
23
= 8
What is the value of:
\(2^{-2}\)
\(= \frac{1}{4}\)
Calculate the value of:
67 + 35
= 102
Calculate the value of:
74 − 29
= 45
Calculate the value of:
24 × 53
= 1272
Calculate the value of:
912 ÷ 12
= 76
Find the value of:
20% of 40
= 8
Find the value of:
6.35 × 105
= 635000
Find the highest common factor of thirty and twenty five.
= 5
3 × 4 = 12 | 9 × 2 = 18 |
8 × 4 = 32 | 7 × 5 = 35 |
4 × 3 = 12 | 5 × 4 = 20 |
6 × 5 = 30 | 2 × 2 = 4 |
3 × 12 = 36 | 5 × 3 = 15 |
7 × 2 = 14 | 9 × 8 = 72 |
8 × 5 = 40 | 6 × 4 = 24 |
4 × 2 = 8 | 2 × 8 = 16 |
8 × 2 = 16 | 3 × 2 = 6 |
9 × 2 = 18 | 5 × 2 = 10 |
7 × 2 = 14 | 6 × 2 = 12 |
4 × 2 = 8 | 2 × 2 = 4 |
9 × 3 = 27 | 8 × 3 = 24 |
7 × 3 = 21 | 3 × 3 = 9 |
5 × 3 = 15 | 4 × 3 = 12 |
6 × 3 = 18 | 2 × 3 = 6 |
6 × 4 = 24 | 9 × 4 = 36 |
8 × 4 = 32 | 7 × 4 = 28 |
3 × 4 = 12 | 4 × 4 = 16 |
5 × 4 = 20 | 2 × 4 = 8 |
6 × 5 = 30 | 3 × 5 = 15 |
4 × 5 = 20 | 8 × 5 = 40 |
5 × 5 = 25 | 9 × 5 = 45 |
7 × 5 = 35 | 2 × 5 = 10 |
7 × 6 = 42 | 3 × 6 = 18 |
6 × 6 = 36 | 4 × 6 = 24 |
9 × 6 = 54 | 5 × 6 = 30 |
8 × 6 = 48 | 2 × 6 = 12 |
6 × 7 = 42 | 9 × 7 = 63 |
8 × 7 = 56 | 7 × 7 = 49 |
5 × 7 = 35 | 4 × 7 = 28 |
3 × 7 = 21 | 2 × 7 = 14 |
7 × 8 = 56 | 4 × 8 = 32 |
3 × 8 = 24 | 8 × 8 = 64 |
9 × 8 = 72 | 5 × 8 = 40 |
6 × 8 = 48 | 2 × 8 = 16 |
5 × 9 = 45 | 4 × 9 = 36 |
9 × 9 = 81 | 8 × 9 = 72 |
7 × 9 = 63 | 3 × 9 = 27 |
6 × 9 = 54 | 2 × 9 = 18 |
7 × 12 = 84 | 5 × 12 = 60 |
6 × 12 = 72 | 3 × 12 = 36 |
8 × 12 = 96 | 4 × 12 = 48 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{24}{42}\) \(= \frac{4}{7}\)
Evaluate:
\( 2\frac{3}{4} − \frac{5}{6}\) \(= 1\frac{11}{12}\)
Find BC if AB = 5.5m and AC = 6.6m. 8.59m
Find angle BCA if AC = 5.9m and BC = 7.3m. 36.1o
Find BC if angle BCA = 55o and AC = 6m. 10.5m
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.
\( \frac{3}{4}\) \(= 0.75\)
Convert this decimal to a fraction.
\(0.58\) = \( \frac{29}{50}\)
Increase £80 by 40%
£112
What is the lowest common multiple of fifteen and twenty five.
= 75
4,15,26,37,48...
Find the:
a) next term; 59
b) nth term; 11n - 7
c) term number 53; 576
6,24,96,384,1536...
Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 9; 393216
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 8 years. £210.90
If £1 is worth $1.23, convert:
a) £200 to dollars; $246.00
b) $120 to pounds; £97.56
What are the coordinates of the midpoint of the line joining:
\((-1,2) \text{ and } (5,10)\)
(2,6)
What is the gradient of the line joining:
\((-1,-4) \text{ and } (3,0)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,4),(11,9),(0,10)\)
(6,15)
a) 10 − 20 = -10
b) 10 × (-7) = -70
c) (11−19)(5−13) = 64
d) 70 ÷ (-7) = -10
e) (-12)2 = 144
If p = 6, q = 26 and
r = -12 evaluate:
a) 2q − p = 46
b) pq + r = 144
c) p2 − 5q - r = -82
Solve:
\(2x = 4\)
\(x = 2\)
Solve:
\(3x +5= 29\)
\(x = 8\)
Solve:
\(6x +2= 4x + 8\)
\(x = 3\)
Solve:
\(4(3x -6)-11= 61\)
\(x = 8\)
Solve:
\(4(5x + 5)= 2(4x + 2)\)
\(x = -1.33 \text{(to 3 sf)}\)
Solve:
\(5x+3y = 16\)
\(4x-3y = 2\)
\(x = 2, y = 2\)
Solve:
\(2x-4y = -4\)
\(7x+8y = 30\)
\(x = 2, y = 2\)
Solve:
\(3x+2y = -29.5\)
\(5x+7y = -56.5\)
\(x = -8.5, y = -2\)
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:
{2,4,6,8,10} and
{1,3,5,7,9}
∅
A plane flies from point A to point B on a bearing of 314o. What bearing would it return on from B to A? 134o
A number is picked at random from the set
{1,2,3,4,5}
what is the probability it is even? \(\frac25\)
Evaluate:
5 + (4 × 92 − 5)
324
Simplify the following by collecting like terms:
\(5a−5−4a−5\)
\(a-10\)
Divide 45 in the ratio
6:3
30 and 15
Draw a rough sketch of the graph of:
\(2y=x+2\)
Gradient 0.5
y intercept 1
Express the following number as the product of prime numbers:
90
2 x 3 x 3 x 5
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.
0.595959... \(\frac{59}{99}\)
Decrease £80 by 45%
£44
Expand:
\(4(6x-5)\)
\(24x-20\)
Expand:
\((x+2)(x-2)\)
\(x^2-4\)
Factorise:
\(10x-5\)
\(5(2x-1)\)
Factorise:
\(x^2+3x-4\)
\((x+4)(x-1)\)
Factorise:
\(2x^2-x-6\)
\((2x+3)(x-2)\)
Which theorem?
Find the value of:
5.31 × 10-2
= 0.0531
Write in standard form:
665000
= 6.65 × 105
Write in standard form:
0.00523
= 5.23 × 10-3
Find the nth term:
\(0, 13, 32, 57, 88, \)
\(3n^2+4n-7\)
Multiply 8 × 106
by 8 × 103 and give the answer in standard form.
= 6.4 × 1010
Solve:
\(x^2-2x-15= 0\)
\(x = 5\) and \(-3\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2+5x-1 = 0\)
\(x = 0.171\) and \(-1.17\)
What is the size of each interior angle of a regular heptagon?
128.6°
Make \(c\) the subject of the formula
$$d=\frac{3c+1}{2}$$
$$c=\frac{2d-1}{3}$$
Calculate the value of:
4956 ÷ 6
= 826
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What is the square root of
81
9
What are the three largest prime numbers less than
17
13, 11, 7
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: 3, 3.3, 3.33, 0.33, 0.3, 3.03, 0.03, in ascending order.
0.03, 0.3, 0.33, 3, 3.03, 3.3, 3.33,
Write down these lengths: 17cm, 18mm, 107cm, 1.8m, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 17cl, 173ml, 18cl, 200ml, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
i = 54
i = 97
Round to one significant figure:
a) 74.72; 70
b) 269862; 300000
c) 91; 90
d) 0.00791; 0.008
Round each value to one significant figure to make an estimate:$$2.8 \times 61 - 182$$\(3 \times 60 - 200 = -20\)
A pie chart shows the colours of 20 books. What sector angle represents the
13 red books?
234°
What is the equation?
\(y=0.5x+2\)A pie chart shows the colours of 36 hats. How many green hats are represented
by a sector
angle of 50°?
5
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