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 7th from the 10th multiples of:
7
21
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round to three significant figures:
a) 63.15; 63.2
b) 571348; 571000
c) 33; 33.0
d) 0.003395; 0.00340
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 17cm, a height of 7cm and a top (parallel to base) of 7cm. 84cm2
Evaluate:
\( \frac{3}{4} + \frac{6}{7}\) \(= 1\frac{17}{28}\)
Evaluate:
\( \frac{3}{4} × \frac{5}{6}\) \(= \frac{5}{8}\)
Evaluate:
\( \frac{3}{4} ÷ \frac{6}{5}\) \(= \frac{5}{8}\)
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.
\( \frac{2}{6}\) \(= 33.3\)%
Find the area of a circle that has a radius of 2cm. Give your answer to three significant figures.
12.6cm2
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:
3.9 + 3.9
= 7.8
Calculate the value of:
8.2 − 1.5
= 6.7
Calculate the value of:
8.5 × 7.8
= 66.3
Calculate the value of:
49.4 ÷ 13
= 3.8
What is the value of:
12
= 1
What is the value of:
\(3^{-2}\)
\(= \frac{1}{9}\)
Calculate the value of:
77 + 69
= 146
Calculate the value of:
91 − 27
= 64
Calculate the value of:
78 × 25
= 1950
Calculate the value of:
1056 ÷ 22
= 48
Find the value of:
30% of 200
= 60
Find the value of:
8.85 × 105
= 885000
Find the highest common factor of sixteen and six.
= 2
6 × 2 = 12 | 5 × 4 = 20 |
9 × 5 = 45 | 8 × 2 = 16 |
3 × 4 = 12 | 4 × 2 = 8 |
7 × 5 = 35 | 2 × 4 = 8 |
3 × 7 = 21 | 7 × 9 = 63 |
8 × 4 = 32 | 5 × 10 = 50 |
6 × 9 = 54 | 4 × 5 = 20 |
9 × 8 = 72 | 2 × 10 = 20 |
4 × 2 = 8 | 9 × 2 = 18 |
5 × 2 = 10 | 8 × 2 = 16 |
7 × 2 = 14 | 6 × 2 = 12 |
3 × 2 = 6 | 2 × 2 = 4 |
5 × 3 = 15 | 3 × 3 = 9 |
9 × 3 = 27 | 4 × 3 = 12 |
8 × 3 = 24 | 7 × 3 = 21 |
6 × 3 = 18 | 2 × 3 = 6 |
4 × 4 = 16 | 9 × 4 = 36 |
8 × 4 = 32 | 7 × 4 = 28 |
5 × 4 = 20 | 6 × 4 = 24 |
3 × 4 = 12 | 2 × 4 = 8 |
6 × 5 = 30 | 5 × 5 = 25 |
8 × 5 = 40 | 4 × 5 = 20 |
7 × 5 = 35 | 3 × 5 = 15 |
9 × 5 = 45 | 2 × 5 = 10 |
5 × 6 = 30 | 6 × 6 = 36 |
9 × 6 = 54 | 3 × 6 = 18 |
4 × 6 = 24 | 8 × 6 = 48 |
7 × 6 = 42 | 2 × 6 = 12 |
9 × 7 = 63 | 5 × 7 = 35 |
6 × 7 = 42 | 3 × 7 = 21 |
7 × 7 = 49 | 4 × 7 = 28 |
8 × 7 = 56 | 2 × 7 = 14 |
4 × 8 = 32 | 3 × 8 = 24 |
5 × 8 = 40 | 8 × 8 = 64 |
9 × 8 = 72 | 6 × 8 = 48 |
7 × 8 = 56 | 2 × 8 = 16 |
3 × 9 = 27 | 5 × 9 = 45 |
6 × 9 = 54 | 9 × 9 = 81 |
8 × 9 = 72 | 4 × 9 = 36 |
7 × 9 = 63 | 2 × 9 = 18 |
9 × 12 = 108 | 5 × 12 = 60 |
3 × 12 = 36 | 4 × 12 = 48 |
8 × 12 = 96 | 7 × 12 = 84 |
6 × 12 = 72 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{10}{25}\) \(= \frac{2}{5}\)
Evaluate:
\( 2\frac{3}{4} − \frac{7}{8}\) \(= 1\frac{7}{8}\)
Find AC if AB = 4.4m and BC = 6.1m. 4.22m
Find angle ABC if AC = 5.4m and AB = 7.1m. 37.3o
Find AC if angle ABC = 21o and BC = 4.7m. 1.68m
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.
\( \frac{2}{7}\) \(= 0.286\)
Convert this decimal to a fraction.
\(0.68\) = \( \frac{17}{25}\)
Increase £20 by 40%
£28
What is the lowest common multiple of twelve and fifteen.
= 60
6,15,24,33,42...
Find the:
a) next term; 51
b) nth term; 9n - 3
c) term number 53; 474
4,12,36,108,324...
Find the:
a) next term; 972
b) nth term; 4 × 3n-1
c) term number 10; 78732
If £120 is invested for 5 years with a simple interest rate of 3%, find the amount of interest earned. £18.00
If £100 is invested with an interest rate of 2% compounded annually, find the value of the investment after 4 years. £108.24
If £1 is worth $1.32, convert:
a) £120 to dollars; $158.40
b) $240 to pounds; £181.82
What are the coordinates of the midpoint of the line joining:
\((-5,-3) \text{ and } (5,5)\)
(0,1)
What is the gradient of the line joining:
\((4,5) \text{ and } (10,10)\)
\(\frac{5}{6}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,2),(11,7),(0,8)\)
(6,13)
a) 9 − 21 = -12
b) 9 × (-5) = -45
c) (9−18)(12−22) = 90
d) 45 ÷ (-5) = -9
e) (-10)2 = 100
If p = 6, q = 26 and
r = -12 evaluate:
a) 2q − p = 46
b) pq + r = 144
c) p2 − 5q - r = -82
Solve:
\(4x = 36\)
\(x = 9\)
Solve:
\(2x +9= 17\)
\(x = 4\)
Solve:
\(7x -3= 6x + 2\)
\(x = 5\)
Solve:
\(5(2x -4)+9= 29\)
\(x = 4\)
Solve:
\(5(5x + 3)= 2(5x + 2)\)
\(x = -0.733 \text{(to 3 sf)}\)
Solve:
\(5x+2y = 39\)
\(4x-2y = 6\)
\(x = 5, y = 7\)
Solve:
\(2x+2y = 16\)
\(7x+6y = 54\)
\(x = 6, y = 2\)
Solve:
\(5x+5y = -17.5\)
\(3x+2y = -9\)
\(x = -2, y = -1.5\)
Find the union of:
{6,7,8,9,10} and
{1,3,6,10,15}
{1,3,6,7,8,9,10,15}
Find the intersection of:
{6,7,8,9,10} and
{2,6,12}
{6}
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
{5,6,7,8,9,10}
what is the probability it is even? \(\frac12\)
Evaluate:
4 + 8 × 8 − 6
62
Simplify the following by collecting like terms:
\(3y+2w+7y\)
\(10y+2w\)
Divide 130 in the ratio
1:9
13 and 117
Draw a rough sketch of the graph of:
\(y=2x-2\)
Gradient 2
y intercept -2
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 £76 after a 5% reduction. What was the original price?
£80
Find the mean, mode, median and range of the following:
2,6,12,6,14
Mean = 8, mode = 6,
median = 6 and range = 12
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.949494... \(\frac{94}{99}\)
Decrease £120 by 20%
£96
Expand:
\(3(3x-6)\)
\(9x-18\)
Expand:
\((3x+1)(4x-4)\)
\(12x^2-8x-4\)
Factorise:
\(12x-20\)
\(4(3x-5)\)
Factorise:
\(x^2+2x-3\)
\((x+3)(x-1)\)
Factorise:
\(5x^2+x-4\)
\((x+1)(5x-4)\)
Which theorem?
Find the value of:
5.17 × 10-5
= 0.0000517
Write in standard form:
9050000
= 9.05 × 106
Write in standard form:
0.0601
= 6.01 × 10-2
Find the nth term:
\(7, 17, 31, 49, 71, \)
\(2n^2+4n+1\)
Multiply 8 × 102
by 9 × 102 and give the answer in standard form.
= 7.2 × 105
Solve:
\(x^2-3x-10= 0\)
\(x = 5\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-5x-4 = 0\)
\(x = 1.52\) and \(-0.525\)
What is the size of each exterior angle of a regular decagon?
36°
Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$
$$g=h(e-d)$$
Calculate the value of:
2576 ÷ 7
= 368
What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8
What is the square root of
144
12
What are the three largest prime numbers less than
31
29, 23, 19
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: 0.9, 9, 9.09, 9.99, 9.9, 0.99, 0.09, in ascending order.
0.09, 0.9, 0.99, 9, 9.09, 9.9, 9.99,
Write down these lengths: 107cm, 1.8m, 18mm, 1.08m, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 17cl, 173ml, 18cl, 200ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
e = 69
c = 78
Round to one significant figure:
a) 76.51; 80
b) 187815; 200000
c) 86; 90
d) 0.00524; 0.005
Round each value to one significant figure to make an estimate:$$(152 + 7.6) \div 18$$\((200 + 8) \div 20 = 10.4\)
A pie chart shows the colours of 24 books. What sector angle represents the
16 red books?
240°
What is the equation?
\(y=x\)A pie chart shows the colours of 90 hats. How many green hats are represented
by a sector
angle of 200°?
50
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