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, ?
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 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 m3
c) The mass of the 3-D shape is 0.227kg
What is its density in grams per cm3
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
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.
Look 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.
Laura 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 £?