What is the 8th:
a) Odd number; 15
b) Square number; 64
c) Prime number. 19
Find all the factors of:
48
1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Subtract the 6th from the 9th multiples of:
3
9
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) 97.85; 97.8
b) 749707; 750000
c) 65; 65.0
d) 0.006595; 0.00660
Find the area of a triangle that has a base of 5cm and a height of 10cm.
25cm2
Find the area of a trapezium that has a base of 11cm, a height of 5cm and a top (parallel to base) of 5cm. 40cm2
Evaluate:
\( \frac{2}{4} + \frac{6}{8}\) \(= 1\frac{1}{4}\)
Evaluate:
\( \frac{2}{4} × \frac{5}{6}\) \(= \frac{5}{12}\)
Evaluate:
\( \frac{3}{5} ÷ \frac{9}{7}\) \(= \frac{7}{15}\)
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 5cm. Give your answer to three significant figures.
31.4cm
Calculate the value of:
5.5 + 5.9
= 11.4
Calculate the value of:
9.4 − 1.5
= 7.9
Calculate the value of:
5.5 × 3.2
= 17.6
Calculate the value of:
81 ÷ 15
= 5.4
What is the value of:
22
= 4
What is the value of:
\(2^{1}\)
\(= 2\)
Calculate the value of:
87 + 48
= 135
Calculate the value of:
64 − 29
= 35
Calculate the value of:
28 × 34
= 952
Calculate the value of:
588 ÷ 14
= 42
Find the value of:
40% of 180
= 72
Find the value of:
5.29 × 106
= 5290000
Find the highest common factor of thirty two and twelve.
= 4
4 × 3 = 12 | 7 × 4 = 28 |
8 × 2 = 16 | 3 × 4 = 12 |
5 × 3 = 15 | 6 × 4 = 24 |
9 × 4 = 36 | 2 × 2 = 4 |
6 × 3 = 18 | 8 × 6 = 48 |
9 × 5 = 45 | 3 × 11 = 33 |
5 × 7 = 35 | 4 × 12 = 48 |
7 × 7 = 49 | 2 × 2 = 4 |
9 × 2 = 18 | 3 × 2 = 6 |
5 × 2 = 10 | 6 × 2 = 12 |
7 × 2 = 14 | 8 × 2 = 16 |
4 × 2 = 8 | 2 × 2 = 4 |
8 × 3 = 24 | 5 × 3 = 15 |
6 × 3 = 18 | 7 × 3 = 21 |
4 × 3 = 12 | 9 × 3 = 27 |
3 × 3 = 9 | 2 × 3 = 6 |
4 × 4 = 16 | 6 × 4 = 24 |
5 × 4 = 20 | 3 × 4 = 12 |
7 × 4 = 28 | 8 × 4 = 32 |
9 × 4 = 36 | 2 × 4 = 8 |
3 × 5 = 15 | 4 × 5 = 20 |
8 × 5 = 40 | 7 × 5 = 35 |
5 × 5 = 25 | 6 × 5 = 30 |
9 × 5 = 45 | 2 × 5 = 10 |
4 × 6 = 24 | 9 × 6 = 54 |
5 × 6 = 30 | 7 × 6 = 42 |
6 × 6 = 36 | 3 × 6 = 18 |
8 × 6 = 48 | 2 × 6 = 12 |
3 × 7 = 21 | 6 × 7 = 42 |
5 × 7 = 35 | 7 × 7 = 49 |
4 × 7 = 28 | 9 × 7 = 63 |
8 × 7 = 56 | 2 × 7 = 14 |
5 × 8 = 40 | 4 × 8 = 32 |
9 × 8 = 72 | 8 × 8 = 64 |
7 × 8 = 56 | 6 × 8 = 48 |
3 × 8 = 24 | 2 × 8 = 16 |
3 × 9 = 27 | 7 × 9 = 63 |
6 × 9 = 54 | 5 × 9 = 45 |
4 × 9 = 36 | 9 × 9 = 81 |
8 × 9 = 72 | 2 × 9 = 18 |
7 × 12 = 84 | 6 × 12 = 72 |
5 × 12 = 60 | 4 × 12 = 48 |
3 × 12 = 36 | 8 × 12 = 96 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{12}{15}\) \(= \frac{4}{5}\)
Evaluate:
\( 1\frac{1}{2} − \frac{3}{4}\) \(= \frac{3}{4}\)
Find BC if AB = 3.7m and AC = 5.7m. 6.80m
Find angle BCA if AB = 5.3m and BC = 7.2m. 47.4o
Find AB if angle ABC = 48o and BC = 4.7m. 3.14m
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.
\(0.24\) = \( \frac{6}{25}\)
Increase £20 by 25%
£25
What is the lowest common multiple of fifteen and thirty five.
= 105
6,17,28,39,50...
Find the:
a) next term; 61
b) nth term; 11n - 5
c) term number 55; 600
6,24,96,384,1536...
Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 9; 393216
If £160 is invested for 4 years with a simple interest rate of 4%, find the amount of interest earned. £25.60
If £100 is invested with an interest rate of 3% compounded annually, find the value of the investment after 9 years. £130.48
If £1 is worth $1.38, convert:
a) £160 to dollars; $220.80
b) $120 to pounds; £86.96
What are the coordinates of the midpoint of the line joining:
\((4,0) \text{ and } (12,8)\)
(8,4)
What is the gradient of the line joining:
\((-6,1) \text{ and } (-3,5)\)
\(\frac{4}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,1),(8,6),(0,4)\)
(3,9)
a) 9 − 14 = -5
b) 9 × (-6) = -54
c) (7−18)(10−20) = 110
d) 54 ÷ (-6) = -9
e) (-5)2 = 25
If p = 5, q = 20 and
r = -11 evaluate:
a) 2q − p = 35
b) pq + r = 89
c) p2 − 5q - r = -64
Solve:
\(2x = 8\)
\(x = 4\)
Solve:
\(3x +8= 26\)
\(x = 6\)
Solve:
\(10x -6= 5x + 19\)
\(x = 5\)
Solve:
\(5(5x -6)-7= 163\)
\(x = 8\)
Solve:
\(2(3x + 3)= 5(3x + 4)\)
\(x = -1.56 \text{(to 3 sf)}\)
Solve:
\(6x+4y = 34\)
\(5x+4y = 31\)
\(x = 3, y = 4\)
Solve:
\(2x-5y = 0\)
\(7x-20y = -5\)
\(x = 5, y = 2\)
Solve:
\(3x-7y = 10.5\)
\(5x+2y = -23.5\)
\(x = -3.5, y = -3\)
Find the union of:
{1,2,3,4,5} and
{5,6,7,8,9,10}
{1,2,3,4,5,6,7,8,9,10}
Find the intersection of:
{2,4,6,8,10} and
{1,3,6,10,15}
{6,10}
A plane flies from point A to point B on a bearing of 263o. What bearing would it return on from B to A? 083o
A number is picked at random from the set
{3,4,5,6,7,8}
what is the probability it is even? \(\frac12\)
Evaluate:
2 + 2 × 4 − 2
8
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 55 in the ratio
3:8
15 and 40
Draw a rough sketch of the graph of:
\(y=-x-1\)
Gradient -1
y intercept -1
Express the following number as the product of prime numbers:
18
2 x 3 x 3
In a sale an item costs £102 after a 15% reduction. What was the original price?
£120
Find the mean, mode, median and range of the following:
6,7,8,9,10
Mean = 8, no mode,
median = 8 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.121212... \(\frac{4}{33}\)
Decrease £160 by 30%
£112
Expand:
\(2(2x-9)\)
\(4x-18\)
Expand:
\((3x+3)(4x-4)\)
\(12x^2-12\)
Factorise:
\(28x-24\)
\(4(7x-6)\)
Factorise:
\(x^2+x-2\)
\((x+2)(x-1)\)
Factorise:
\(2x^2+7x-4\)
\((x+4)(2x-1)\)
Which theorem?
Find the value of:
3.49 × 10-4
= 0.000349
Write in standard form:
8870000
= 8.87 × 106
Write in standard form:
0.0000607
= 6.07 × 10-5
Find the nth term:
\(16, 24, 34, 46, 60, \)
\(n^2+5n+10\)
Multiply 5 × 103
by 5 × 102 and give the answer in standard form.
= 2.5 × 106
Solve:
\(x^2-x-12= 0\)
\(x = 4\) and \(-3\)
Solve this equation giving the solutions to 3 significant figures:
\(4x^2+5x-5 = 0\)
\(x = 0.656\) and \(-1.91\)
What is the size of each exterior angle of a regular hexagon?
60°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}-5$$
$$h=4(e+5)$$
Calculate the value of:
2680 ÷ 5
= 536
What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144
What is the difference between the 10th and the 11th square numbers?
21
What is the 11th prime number?
31
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: 0.4, 0.44, 4.04, 4.44, 4.4, 4, 0.04, in ascending order.
0.04, 0.4, 0.44, 4, 4.04, 4.4, 4.44,
Write down these lengths: 107cm, 18mm, 1.8m, 17cm, 1.08m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 18cl, 200ml, 17cl, 173ml, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
d = 99
i = 97
Round to one significant figure:
a) 26.87; 30
b) 376628; 400000
c) 61; 60
d) 0.00840; 0.008
Round each value to one significant figure to make an estimate:$$(184 + 5.8) \div 17$$\((200 + 6) \div 20 = 10.3\)
A pie chart shows the colours of 15 books. What sector angle represents the
7 red books?
168°
What is the equation?
\(y=2x+2\)A pie chart shows the colours of 8 hats. How many green hats are represented
by a sector
angle of 135°?
3
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