What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
23
1, 23.
Subtract the 5th from the 10th multiples of:
12
60
What are the names of regular polygons with:
a) four sides;
b) five sides;
c) six sides.
Square, Pentagon and Hexagon (all regular)
Round the following numbers to three significant figures:
a) 41.98; 42.0
b) 329324; 329000
c) 0.003395; 0.00340
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 16cm, a height of 8cm and a top (parallel to base) of 6cm. 88cm2
Evaluate:
\( \frac{1}{3} + \frac{4}{7}\) \(= \frac{19}{21}\)
Evaluate:
\( \frac{2}{3} × \frac{4}{5}\) \(= \frac{8}{15}\)
Evaluate:
\( \frac{2}{3} ÷ \frac{6}{5}\) \(= \frac{5}{9}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{4}{8}\) \(= 50\)%
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 3cm. Give your answer to three significant figures.
18.8cm
Calculate the value of:
9.8 + 6.6
= 16.4
Calculate the value of:
6.3 − 3.7
= 2.6
Calculate the value of:
4.2 × 2.4
= 10.08
Calculate the value of:
68.9 ÷ 13
= 5.3
What is the value of:
33
= 27
What is the value of:
\(5^{-1}\)
\(= \frac{1}{5}\)
Calculate the value of:
69 + 87
= 156
Calculate the value of:
72 − 28
= 44
Calculate the value of:
26 × 86
= 2236
Calculate the value of:
1914 ÷ 22
= 87
Find the value of:
30% of 100
= 30
Find the value of:
7.4 × 104
= 74000
Find the highest common factor of twenty eight and twenty.
= 4
3 × 3 = 9 | 4 × 4 = 16 |
6 × 5 = 30 | 8 × 3 = 24 |
9 × 2 = 18 | 7 × 2 = 14 |
5 × 3 = 15 | 2 × 4 = 8 |
8 × 10 = 80 | 9 × 5 = 45 |
3 × 2 = 6 | 7 × 3 = 21 |
4 × 9 = 36 | 6 × 10 = 60 |
5 × 3 = 15 | 2 × 5 = 10 |
9 × 2 = 18 | 5 × 2 = 10 |
8 × 2 = 16 | 4 × 2 = 8 |
3 × 2 = 6 | 6 × 2 = 12 |
7 × 2 = 14 | 2 × 2 = 4 |
6 × 3 = 18 | 3 × 3 = 9 |
7 × 3 = 21 | 5 × 3 = 15 |
4 × 3 = 12 | 9 × 3 = 27 |
8 × 3 = 24 | 2 × 3 = 6 |
7 × 4 = 28 | 4 × 4 = 16 |
9 × 4 = 36 | 5 × 4 = 20 |
3 × 4 = 12 | 6 × 4 = 24 |
8 × 4 = 32 | 2 × 4 = 8 |
4 × 5 = 20 | 6 × 5 = 30 |
5 × 5 = 25 | 9 × 5 = 45 |
3 × 5 = 15 | 8 × 5 = 40 |
7 × 5 = 35 | 2 × 5 = 10 |
4 × 6 = 24 | 3 × 6 = 18 |
5 × 6 = 30 | 9 × 6 = 54 |
7 × 6 = 42 | 6 × 6 = 36 |
8 × 6 = 48 | 2 × 6 = 12 |
3 × 7 = 21 | 6 × 7 = 42 |
7 × 7 = 49 | 5 × 7 = 35 |
4 × 7 = 28 | 8 × 7 = 56 |
9 × 7 = 63 | 2 × 7 = 14 |
5 × 8 = 40 | 3 × 8 = 24 |
4 × 8 = 32 | 7 × 8 = 56 |
6 × 8 = 48 | 9 × 8 = 72 |
8 × 8 = 64 | 2 × 8 = 16 |
4 × 9 = 36 | 9 × 9 = 81 |
7 × 9 = 63 | 5 × 9 = 45 |
8 × 9 = 72 | 3 × 9 = 27 |
6 × 9 = 54 | 2 × 9 = 18 |
3 × 12 = 36 | 4 × 12 = 48 |
7 × 12 = 84 | 9 × 12 = 108 |
6 × 12 = 72 | 5 × 12 = 60 |
8 × 12 = 96 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{8}{12}\) \(= \frac{2}{3}\)
Evaluate:
\( 3\frac{3}{4} − \frac{5}{6}\) \(= 2\frac{11}{12}\)
Find BC if AB = 4.1m and AC = 5.6m. 6.94m
Find angle ABC if AC = 3.9m and BC = 5.5m. 45.2o
Find BC if angle BCA = 45o and AB = 3.6m. 5.09m
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.
\( \frac{4}{6}\) \(= 0.667\)
Convert this decimal to a fraction.
\(0.36\) = \( \frac{9}{25}\)
Increase £100 by 35%
£135
What is the lowest common multiple of eight and thirty two.
= 32
6,17,28,39,50...
Find the:
a) next term; 61
b) nth term; 11n - 5
c) term number 39; 424
5,10,20,40,80...
Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 10; 2560
If £240 is invested for 8 years with a simple interest rate of 2%, find the amount of interest earned. £38.40
If £200 is invested with an interest rate of 1% compounded annually, find the value of the investment after 8 years. £216.57
If £1 is worth $1.28, convert:
a) £120 to dollars; $153.60
b) $240 to pounds; £187.50
What are the coordinates of the midpoint of the line joining:
\((-3,-1) \text{ and } (3,5)\)
(0,2)
What is the gradient of the line joining:
\((-8,-7) \text{ and } (-4,-1)\)
\(\frac{3}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,1),(7,7),(-3,5)\)
(1,11)
a) 5 − 15 = -10
b) 5 × (-7) = -35
c) (5−13)(8−20) = 96
d) 35 ÷ (-7) = -5
e) (-6)2 = 36
If p = 5, q = 21 and
r = -6 evaluate:
a) 2q − p = 37
b) pq + r = 99
c) p2 − 5q - r = -74
Solve:
\(2x = 6\)
\(x = 3\)
Solve:
\(2x +4= 20\)
\(x = 8\)
Solve:
\(6x +6= 5x + 14\)
\(x = 8\)
Solve:
\(2(5x +6)+5= 97\)
\(x = 8\)
Solve:
\(5(5x + 4)= 4(4x + 4)\)
\(x = -0.444 \text{(to 3 sf)}\)
Solve:
\(5x-4y = -8\)
\(3x+4y = 40\)
\(x = 4, y = 7\)
Solve:
\(4x-3y = 3\)
\(5x-6y = -12\)
\(x = 6, y = 7\)
Solve:
\(2x-3y = -8\)
\(3x-2y = -17\)
\(x = -7, y = -2\)
Find the union of:
{5,6,7,8,9,10} and
{3,6,9,12,15}
{3,5,6,7,8,9,10,12,15}
Find the intersection of:
{1,3,5,7,9} and
{3,4,5,6,7,8}
{3,5,7}
A plane flies from point A to point B on a bearing of 212o. What bearing would it return on from B to A? 032o
A number is picked at random from the set
{3,6,9,12,15}
what is the probability it is even? \(\frac25\)
Evaluate:
49 ÷ 7 × 48 ÷ 8
42
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 90 in the ratio
9:6
54 and 36
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:
24
2 x 2 x 2 x 3
In a sale an item costs £84 after a 40% reduction. What was the original price?
£140
Find the mean, mode, median and range of the following:
5,8,8,6,7,8
Mean = 7, mode = 8,
median = 7.5 and range = 3
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.828282... \(\frac{82}{99}\)
Decrease £160 by 30%
£112
Expand:
\(7(2x-5)\)
\(14x-35\)
Expand:
\((4x+3)(2x-2)\)
\(8x^2-2x-6\)
Factorise:
\(20x-16\)
\(4(5x-4)\)
Factorise:
\(x^2+2x-8\)
\((x+4)(x-2)\)
Factorise:
\(12x^2-x-1\)
\((4x+1)(3x-1)\)
Which theorem?
Find the value of:
3.99 × 10-2
= 0.0399
Write in standard form:
6180000
= 6.18 × 106
Write in standard form:
0.0000572
= 5.72 × 10-5
Find the nth term:
\(5, 9, 15, 23, 33, \)
\(n^2+n+3\)
Multiply 4 × 102
by 5 × 102 and give the answer in standard form.
= 2 × 105
Solve:
\(x^2+2x-8= 0\)
\(x = 2\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(3x^2+3x-3 = 0\)
\(x = 0.618\) and \(-1.62\)
What is the size of each interior angle of a regular decagon?
144°
Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$
$$g=h(e-d)$$
Calculate the value of:
5508 ÷ 9
= 612
What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89
What is the square of
8
64
What is the 5th prime number?
11
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: 2.22, 0.22, 2.2, 2.02, 0.2, 2, 0.02, in ascending order.
0.02, 0.2, 0.22, 2, 2.02, 2.2, 2.22,
Write down these lengths: 17cm, 18mm, 1.08m, 1.8m, 107cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 173ml, 17cl, 200ml, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
i = 54
e = 63
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