Here are the first four terms of an arithmetic sequence

–2 2 6 10 14

a) Write an expression, in terms of n, for the nth term of this sequence

The nth term of a different arithmetic sequence is 3n – 4

b) Is 104 a term of this sequence?

Show how you get your answer

What is the next number in this sequence

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ?

a) Write down the value of the 2 in the number 9261

b) Find the cubed root of of 9361

ANS

Henry measured how far some snails could crawl in 20 minutes.

Distance (cm) | No. of snails |

30 <t ≤ 34 | 4 |

34 <t ≤ 38 | 7 |

38 <t ≤ 42 | 16 |

42 <t ≤ 46 | 5 |

46 <t ≤ 50 | 2 |

a) Write down the modal class interval

b) Calculate an estimate for the mean distance to 1 decimal place.

c) Estimate the speed of the fastest snails.

Give your answer in metres per hour.

a) Find the value of (3.9 – 0.36) + ^{3}√6.7

David says √6 = √2 + √4 , Jess says √6 = √2 × √3.

b) Who is right?

Explain your answer

In a class of 22 pupils 13 were boys. What fraction were girls.

Give your answer as a decimal to 2 significant figures

a) Shade in some squares to make the pattern below symmetrical

b) What order of rotational symmetry does this shape have?

ANS

Speed signs were placed near a school to tell drivers to drive more slowly.

The stem-and-leaf diagrams show the speed of 19 cars before and after the sign was added.

How many mph did the median speed before and after fall by?

ANSThe pictogram shows how many cups of tea and cakes were sold in a tea shop in a week

a) How many teas were sold on Saturday?

Thirty teas and ten cakes were sold on Wednesday.

b) Complete the pictogram.

c) How many cakes were sold in the tea shop in the week?

ANSA jug is partly filled with liquid.

A regular 3-D shape with dimensions shown in centimetres, is dropped into the jug.

a) What will be the new height of the liquid on the jug scale

b) What is the volume of the 3-D shape?

Give your answer in standard form in m^{3}

c) The mass of the 3-D shape is 0.227kg

What is its density in grams per cm^{3}

Jane started an internet business selling socks.

In method 1, postage was £5 for any number of socks and socks cost £3 a pair.

a) Draw a line on the graph to represent this information

b) What is the equation of this line?

In method 2, she decided to increase the price of socks by ⅓ with free postage.

c) Draw a new line on the graph for method 2 and use your graph to work out how many pairs of socks cost the same for both methods

ANSa) Work out the value of y for this triangle.

b) Work out the exterior angle marked y for this regular shape.

ANS

a) Rotate the shape A, 90° anti-clockwise about centre (– 1, 1)

Label the shape B

b) Reflect shape B in the line x = 1. Label it C.

c) Describe the transformation from shape C to shape A

ANS

A school S is directly 500m north of my house H

A cafe C is directly 600m East of my house H

a) How far is it from the school S to the cafe C?

Give your answer to the nearest metre

b) What is the bearing of the school from the cafe to 1 decimal place.

c) A tree T is directly West of my house. The distance from the tree to the school is 801m.

How far is the tree from my house. Give your answer to 2 significant figures.

ANS

Poppy's house is 20 miles from David's house.

David drove 10 miles @ 30mph.

How fast will he have to drive the remaining distance to average 40mph for the trip.

ANSLook at the Venn diagram for two sets.

a) Shade the region that represents P(A' ∩ B')

A' means NOT A

In a maths test for trainee teachers there was a mental part and a calculator part.

In a group of trainee teachers everyone passed at least one part.

85% passed the mental part and 90% passed the calculator part.

b) Show this information on a Venn diagram.

ANSLaura changed £250 into Euros. There was a fee of 1% and the exchange rate was £1 : €1.14

a) How much will she get to the nearest €?

She spent some euros and had €45 left. She exchanged that back into pounds.

There was no fee and the exchange rate was €1.15 : £0.76

b) How much will she get to the nearest £?

ANS

Matt had 3 piles of penny coins.

In the 1^{st} pile there was 49p, in the 2^{nd} pile was 14p and in the 3^{rd} pile was 35p.

What is the ratio for the money in the three piles.

Give your answer in its simplest form.

ANSa) Truncate 123.5 to a whole number

b) Truncate 25.599 to 1 dp

c) Truncate 2355.67 to the hundreds

ANS90 students were asked what subjects they liked - Art, PE or Drama.

42 of the 90 students were boys.

12 of the girls liked Drama.

6 boys liked Art.

⅔ of the 39 students who liked PE were boys.

Work out the total number of students who liked Art.

ANSLook at this line

Find the equation of **another line** that is **perpendicular** to the line shown and passes through the point **(1 , 1)**

The modal age of three boys was 7 and the mean of their ages was 9

The age range of three girls was 7 and the mode of their ages was 7

Who was the oldest, a boy or a girl? Show your working.

ANS

Calculate the value of

3.25 – 2.09
/
3.25 – 2.09^{2}

a) Write down your full calculator display

b) Give your answer to three significant figures.

ANSThe force F on a mass is directly proportional (∝) to the acceleration 'a' of the mass

When a = 250, F = 750

a) Find a formula for F in terms of a.

b) Find F when a = 140

ANS

a) Write the error interval for 33 kg, to the nearest kg

b) Write the error interval for 0.56 to 2 dp

c) Write the error interval of £2.50, to 2 sfs

ANS

Look at this graph of a quadratic equation.

a) Estimate the roots for x

b) Estimate the co-ordinates of the turning point of the curve

ANS

a) Write the exact value of Cosine 30° [1]

b) Write the exact value of Sine 45° [1]

c) Write the exact value of Tan 60° [1]

ANS