Year 9 Summer Pack. Five a day

(1)

Summer 5- a – day booklet : Year 9

1

Five a day

• Every day complete just

"five" maths questions

(2)

(3)

3

July 20 5-a-day Foundation

What is the equation of this line? What is the equation of this line?

Find the nth term Work out the 100th term

What part of the circle is shown? (in red)

(4)

4

100 people play a game that costs

£1.

The probability of winning is 0.1

The prize is £4.

Calculate how much profit the game makes.

Two spinners have the equal size

sections with the numbers 1, 2, 3 and 4. They are spun and the two numbers are added together.

Complete the table to show all the possible totals.

What is the probability of the total being 2?

What is the probability of the total being over 6?

Calculate the length of AB

(5)

5

Make u the subject

(a) mode

(b) median

(c) range When Ali takes a penalty

Ali takes 30 penalties, how many times is he expected to score a goal.

(6)

6

Work out the perimeter of the rectangle

Solve

Find the nth term Find the 20th term.

(7)

7

Find V if u = - 4 and t = 2

Draw x = -2

Draw y = 1

Complete the table and draw the line y = 2x + 1

Find x

(8)

8

Matt thinks of two square numbers.

They add together to give another

square number.

Write down two possible numbers

Matt thought of

Write down a prime number larger than 50

What is the gradient of this line?

Work out the area of the shape that is shaded

(9)

9

There are red, green and white

counters in a bag.

What fraction of the counters are white?

Make g the subject

What is the sum of interior angles in a regular octagon?

What is the size of each interior angle in a regular octagon?

Calculate the volume

A regular polygon tessellates (fits together with no shapes)

(10)

10

The area of a triangle is 30cm²

Find y

Work out the distance from Antrim to Toome.

(11)

11

Complete the table.

How many sticks would be in Pattern number 10?

Draw Pattern 4 below

How many squares will be in pattern 10?

Write an expression for the number of squares in pattern n

(12)

12

A class has 30 students and 21 are

girls. Find the ratio of boys to girls in

its simplest form.

Solve x - 6 < 12 Solve 2y - 1 > 19

The diagram shows the distance between villages A, B and C in miles

What is the distance from village A to village C?

In a triangle, the ratio of the angles

a, b and c is 1:2:3

(13)

13

What part of the circle is shown? (in red)

There are 95 girls in a school. The ratio of boys to girls is 4:5 How many boys go to the school?

A student is chosen at random.

What is the probability they are female?

(14)

14

KEY

means 17

Work out the range Write down the mode

Calculate the estimated mean

Expand

(x + 4)(x - 3)

(15)

15

August 1 5-a-day Foundation

Calculate the volume

Size of a?

Reason?

Write an expression for the distance from Ballymena to Lisburn

Barry adds together two

consecutive integers.

(16)

16

David travels 90 miles in 2 hours

30 minutes.

What is his average speed?

Simplify

Make x the subject of this formula g = 2x + y

The diameter of a circle is 6cm Using pi as 3.14, work out the circumference.

(17)

17

List the prime numbers between 20

and 40.

Find an expression for the perimeter

Work out

Find x

Reason

(18)

18

Work out the number of minutes from 18:27 on Tuesday to 01:19 on

Wednesday

Factorise completely 15x² + 24x

Describe the transformation that maps Q onto R.

(19)

19

Shown is a regular pentagon.

Write an expression for the perimeter.

James drives 164km.

It takes 2 hours 30 minutes. Work out his speed.

Find BC

A boy weighs 32kg to the nearest

kilogram.

(20)

20

Calculate a

Solve 5x + 2 = 67

(21)

21

James is x years old.

Tom is 3 years older.

Write an expression for Tomʼs age.

The sum of their ages is 57. What age is Tom?

Find the volume

This sequence increases by the same amount each time. Find the two missing numbers.

12 ... ... 39

Draw a circle

Draw a chord onto your circle

Write down the nth term for this sequence

(22)

22

Tom works 12 hours each week He earns £4 per hour

Tom save 1/3 of his earning each week How long will it take Tom to save £80?

Write an expression for the perimeter

p and q are odd numbers

Is p + q

Is pq

Race Number of pupils

100m 8

200m 16

400m 12

Fun run 36

Janice wants to draw a pie chart. Calculate the size of each angle.

200 tickets are sold in a raffle There is one prize.

Dave buys one ticket. What is the probability that he wins the prize?

Joanne buys five tickets.

What is the probability that she wins the prize?

(23)

23

Simplify

2x + 3y + 5x - 2y - 4x

Work out 5.4 - 1.28

Solve 6r + 2 = 8

Calculate the area

(24)

24

Find x

What type of correlation is shown?

(25)

25

The ratio of red beads to white beads on a necklace is 2:1.

What fraction of the beads are white?

There are 42 red beads, how many beads are there in total?

Draw the locus of all points 1cm from the L shape below.

(26)

26

Henry buys a car that costs £8000.

He pays a 20% deposit and pays

the rest of the money over 20

monthly payments.

How much is each payment?

Ivan wants to draw a pie chart. Work out the size of each angle.

Work out 1.2 ÷ 100

Explain why 4x + 1 = 2x + 9

(27)

27

George wants to find out how many TVs people have in their homes on his street. His results are shown.

How many houses are there on his street?

What is the total number of TVs on his street?

What is the average number of TVs per house on his street?

A car travels at an average speed of 40mph for 2 hours and 15 minutes. How far does the car travel in total?

(28)

28

How far did he run in total?

The area of the parallelogram is 72cm² Find y

Calculate the volume of this prism.

(29)

29

Complete the table for y = 3x + 1

Draw the graph y = 3x + 1 on the grid.

Share 4000 in the ratio 2:3

(30)

30

Simplify

-5c x 2w

Expand

-4w(w + 3)

£1 = €1.45

Convert £200 into Euros

Convert €290 into Pounds

B is a reflection of A.

What is the equation of the mirror line?

Find y

(31)

31

Write an expression for the perimeter

Work out 3.4 x 8.25

Work out the midpoint of AB, if A is the coordinate (5, 1)

B is the coordinate (9, 12)

A = 2³ x 3 x 5

B = 2² x 3² x 7

What is the HCF of A and B.

Shown is a regular hexagon and regular pentagon.

(32)

32

Work out the distance from Randalstown to Toome.

Mary cycles at 20mph for 1¾ hours.

How far does she cycle?

(33)

33

Work out the nth term of

13 18 23 28 .... ....

Work out the 40th term.

Shown is an equilateral triangle. Write an expression for the perimeter

James buys 10 boxes of orange

juice.

The cost of each box is £4.

Each box contains 10 cartons of

orange juice.

James sells ¾ of the cartons for

80p each.

(34)

34

Find V if u = 3 and t = 5

The ratio of boys to girls in a class is 2:3. Explain why there cannot be 22 students in the class.

Seb and James share money in the ratio 2:7.

(35)

35

Solve 5x + 3 = 58

Solve

Draw a tangent. Draw a Chord

Work out

5⁴

Work out

10⁵

Write in full

2.5 x 10⁵

(36)

36

Draw the graph y = 2x + 4

Draw the graph y = 6.

Write one criticism of the question.

Write one criticism of the response section.

(37)

37

Find x

Find y

20% of a number is 4. What is the number?

30% of a different number is 15. What is the number?

Convert 0.14 into a fraction in its simplest form.

Convert 80% into a fraction in its simplest form.

Find the size of the smallest angle, in degrees.

Josef is x years old.

(38)

38

Factorise

25y + 50

Factorise

4y² + 6y

Make g the subject

Complete the table of values for y = x²

Shade the region which is: (a) At least 3 cm from A.

(39)

39

Simplify 3y x 2y

Simplify

£1 = $1.50

Dominic buys a shirt for $30. Work out the cost in pounds

Write down the modal interval.

(40)

40

If y = −4 and x = 2, work out the

value of:

The area of the parallelogram is 32cm² Find x.

Write 0.67 ⅝ ⅘ 70%

In order of size, starting with the smallest.

Complete the table for y = x² - 1

(41)

41

$1.50 = £1

A pairs of trousers costs $45. Work out the cost in pounds.

Shown is a regular pentagon.

What is the size of each interior angle?

Two spinners have the equal size

sections with the numbers 1, 2, 3 and 4. They are spun and the two numbers are multiplied together.

Complete the table to show all the possible totals.

What is the probability of the total being 2?

(42)

42

Find V if u = 5 and t = 2

The ratio of red beads to white beads on a necklace is 5:2.

What fraction of the beads are white?

There are 60 red beads, how many white beads are there?

This watch costs €50 in Lisbon.

The same watch costs £35 in London. Which is cheaper?

500ml of shampoo costs 78p 1.25 litres of shampoo costs £2 Which is better value?

Alan, Barry and Claire shares

money in the ratio 2:5:7.

(43)

43

Martin and Laura share 415 sweets

in the ratio 1:4.

How many sweets does Laura

receive?

Factorise

8y + 10

What is the size of each interior angle in a regular hexagon

(44)

44

Martin asked 6 friends their age.

21 28 28 28 29 30

If a seventh friend has an age of 34,

will the mode decrease, increase or

stay the same?

Factorise

6y + 27

Draw a stem and leaf for:

19 31 15 28 27 30 36 41

18 25 40 23

A motherʼs and daughterʼs ages are in the ratio 7:2

If the daughter is 14, how old is the mother?

(45)

45

Find the value of the expression

Find the area

Write down the inequality shown above 180 = 2² x 3² x 5

120 = 2³ x 3 x 5

What is the HCF of 120 and 180?

(46)

46

September 1 5-a-day Foundation

Two buildings are 160m apart. The scale of a map is 1:2000 How far are the towns apart on the map in centimetres?

Expand and simplify (y + 6)(y + 10)

(47)

47

Solve 8w - 2 < 3w + 33

Calculate the perimeter

(48)

48

Size of a?

Reason?

a and b are prime numbers.

FInd the values of a and b

when a³ x b = 24

Expand

7(y + 3)

Expand

-3(x + 5)

(49)

49

$1.50 = £1

A pairs of trousers costs $30. Work out the cost in pounds.

Shown is a regular hexagon. What is the size of angle x

(50)

50

Work out the area of the rectangle

Solve the inequality

4x + 3 > 51

Make W the subject

Calculate the area of the trapezium at the front of this prism

(51)

51

In a sale, all prices are reduced by

35%.

If the normal price of a TV is £240,

work out the sale price.

Write 60 as a product of primes.

A plane travels due south.

On what bearing is it traveling?

A plane travels west.

On what bearing is it traveling?

Find the length of the missing side

(52)