Rhian buys a bracelet with a five-letter word engraved on it. She also buys a heart charm.
What is the total cost of these items?
[2]
Huw spent £187.70 on star charms.
How many star charms did he buy?
[1]
Caitlyn has a special offer voucher.
Caitlyn bought one bracelet and four flower charms using the voucher. How much cheaper is it to buy these items using the voucher than paying the
usual price?
[2]
What is the area of the shape?
The area of the shape is…………........ …………. cm2
[1]
On the 1 cm square grid below, draw a rectangle with the same area as the shape on
[1]
From the numbers in the list above, write down:
a multiple of 7
[1]
a factor of 100
[1]
a prime number
[1]
a square number
[1]
Measure and write down the size of angle y.
[1]
The line AB is a…………........ ………….
[1]
The lines CD and CE are…………........ ………….
[1]
The lines ST and RQ are…………........ ………….
[1]
Sadia describes a 3D shape. She says,
Which one of the 3D shapes listed below could be the one Sadia is describing?
Circle your answer.
cuboid triangular prism cube square-based pyramid cone
[1]
[2]
He pays a total of £63.75 which includes a £3 delivery charge.
How many boxes did Austin buy?
[2]
[4]
Use the information below to convert between ounces and grams.
The scales below show how many ounces of butter Austin uses to make 1 cake.
How many grams of butter does Austin need to make 3 cakes?
[2]
Austin buys bags of sugar. Each bag has a mass of 500 g. What is the mass of one bag of sugar in ounces?
Give your answer to the nearest ounce.
[2]
Jade must enter a code to open her safe by pressing three buttons.
The code consists of one letter, one number and one shape.
List all the possible code combinations.
One has been completed for you.
You may not need to use all the lines.
[2]
Jade has forgotten her code. She enters one letter, one number and one shape at random.
What is the probability that she enters the correct code?
[1]
Vikram follows a Mediterranean diet.
The table below shows the proportion of each food group Vikram should eat each day.
What fraction of the Mediterranean diet is made up of olive oil and sugar?
Write your answer in its simplest form.
[2]
On Monday, Vikram ate 456 grams of fish, meat, and dairy products.
How many grams of sugar should Vikram have eaten on Monday?
[2]
[2]
The diagram shows a number machine.
When the OUTPUT is 83·6, what is the INPUT?
[1]
A different number machine is shown below.
When the INPUT is 22, the OUTPUT is 37·5.
Find the value of a.
[2]
The original price of a toy is £t. In a sale, the toy is one third of its original price.
Write down, in terms of t, the sale price of the toy.
[1]
A bag contains x sweets. Rona buys 8 of these bags. She also has 5 sweets left from a previous bag of sweets. Write down, in terms of x, the total number of sweets Rona has.
Simplify your answer.
[2]
Simplify 5 f +16 f ×7.
[2]
[1]
Solve 5x − 2 =11.
[2]
What is the square root of 31?
Give your answer correct to 2 decimal places.
[2]
The table below shows distances between some places in New Zealand.
All distances are in kilometres (km).
Use the table to answer the following questions.
Complete the sentence.
[1]
Sharon drove from Wellington to Taupo. The journey took 4 hours and 30 minutes.
Calculate the average speed of Sharon’s journey in kilometres per hour.
[3]
(a) The following sequence of patterns is made using squares and triangles.
Draw Pattern 5 in the space below.
[1]
Is it possible for one of the patterns in the sequence to have 23 squares and 21 triangles?
Give a reason for your answer.
Yes No
[1]
Write down the nth term for the number of squares in the pattern.
[2]
The nth term of a different sequence is 4n – 5.
Write down the first 3 terms of the sequence.
[2]
Mr Gregory plans to buy drinks and crisps for the school shop.
Drinks and crisps are sold in multipacks. The costs for these are shown below.
Mr Gregory buys the least number of each multipack so that he has an equal number of drinks and packets of crisps.
How much will this cost?
You must show all your working.
[5]
(a) The exterior angle of a regular polygon is 24°.
How many sides does it have?
[2]
Calculate the sum of all the interior angles of this polygon.
[2]
[4]
Cara wants to find out if people travel abroad each year and how often. She plans to stand outside her local travel agent on Tuesday afternoon and survey 35 people.
Give two reasons why Cara’s plan is not likely to give reliable results.
Reason 1
Reason 2
[2]
Cara uses a questionnaire to carry out her survey. One of the questions is shown below.
Give two criticisms of the question.
Criticism 1
Criticism 2
[2]
What is the straight-line distance between the post office and the bus station?
Give your answer in metres.
[3]
What is the bearing of the shopping centre from the fuel station?
[1]
Frank is making some fruit drinks.
Frank makes one drink using orange juice and lemonade in the ratio 1: 5. He pours 390 ml of this drink into a glass.
How many ml of lemonade will there be in the glass?
[2]
Frank makes a different drink using apple juice and lemonade. He pours 120 ml of apple juice into a glass. He then pours lemonade into the glass until there is 390 ml of drink.
Write down the ratio of apple juice to lemonade in the glass.
Give your answer in its simplest form.
The ratio is……........ ……….:……........ ……….
[2]
45 students took part in a 400 m race. Their times, in seconds, were recorded. The frequency diagram below shows the results. The groups used are as follows: 70 
time < 80, 80 time 
90, 90 time 100, 100 time 110 and 110 time 120.
Calculate an estimate for the mean time it took to complete the race.
[5]
Factorise x2 − 5x − 24.
[2]
[2]
Represent the inequality –2 
x 
3 on the number line below.
[1]
ABC and BCD are right-angled triangles. AB = 5·4 cm, AC = 7·2 cm and CD = 4·9 cm.
Calculate the area of triangle BCD.
Area of triangle BCD is…………........ ……………. cm2
[5]
For her lunch, Gina sometimes eats a salad and sometimes drinks a coffee.
The probability she eats a salad for lunch on a given day is 0·4. The probability she drinks a coffee on a given day is 0·25. Eating a salad for lunch and drinking a coffee are independent.
Complete the following tree diagram.
[2]
Calculate the probability that, on a given day, Gina does not eat a salad for lunch but
does drink a coffee.
[2]
When a ball is dropped, the maximum height it reaches after each bounce decreases.
Maddox says,
The ball is dropped from a height of 4 m.
What height will the ball reach above the ground after its 7th bounce?
[3]
State any assumptions you have made in answering part (a).
[1]
What effect could your assumption have on your answer to part (a)?
[1]
There are 50 people in a sports club.
Two of the sports the people can take part in are rowing and cycling.
Of these 50 people: • 27 take part in rowing • 32 take part in cycling • 8 do not take part in rowing or cycling.
[2]
One person is chosen at random from the sports club.
Find the probability that they take part in rowing but not in cycling.
[2]
Abdul is travelling from the UK to Brazil for a holiday.
Abdul has £825 to exchange for Brazilian reals (R$). The exchange rate is £1 = 6.27R$. The bank Abdul uses to exchange his money only has 50R$ notes.
What is the maximum amount of Brazilian reals Abdul can buy and what will this cost him in pounds? Give your answer correct to the nearest penny.
You must show all your working.
[5]
[2]
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