Topic 1: Whole Numbers Question 1 1 Half-Yearly Revision Ms Greta 1 Topic 1: Whole Numbers Question...

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Senior 1 Half-Yearly Revision Ms Greta 1 Topic 1: Whole Numbers Question 1: a) Write in figures i) Three thousand, five hundred and seven. _____________ ii) Two thousand, two hundred and twenty one. _____________ b) Find the difference between the two numbers in a) above. _____________________ c) Write your answer to b) in words ___________________________________________________________ ___________________________________________________________ __________________________________________________________ d) Fill in the blanks: a) 157 x 200 = _______________ b) 33 000 ÷ 10 = _____________ c) 30 x _________ = 12 000 d) 500 ÷ ________ = 10 Question 2: For each of these numbers, write down the place value in words of the underlined digit: a) 247 _____________________ b) 2080 _____________________ c) 80250 _____________________ d) 723 000 000 _____________________

Transcript of Topic 1: Whole Numbers Question 1 1 Half-Yearly Revision Ms Greta 1 Topic 1: Whole Numbers Question...

Senior 1 Half-Yearly Revision Ms Greta

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Topic 1: Whole Numbers

Question 1:

a) Write in figures

i) Three thousand, five hundred and seven. _____________

ii) Two thousand, two hundred and twenty one. _____________

b) Find the difference between the two numbers in a) above.

_____________________

c) Write your answer to b) in words

___________________________________________________________

___________________________________________________________

__________________________________________________________

d) Fill in the blanks:

a) 157 x 200 = _______________

b) 33 000 ÷ 10 = _____________

c) 30 x _________ = 12 000

d) 500 ÷ ________ = 10

Question 2: For each of these numbers, write down the place value in

words of the underlined digit:

a) 247 _____________________

b) 2080 _____________________

c) 80250 _____________________

d) 723 000 000 _____________________

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Question 3: When adding the numbers in the bottom bricks together you get the number in the brick on top of them. Complete the brick diagram

below

Space for working:

Question 4: William went to Print Computers and bought:

• Two ink cartridges costing €32 each

• Three packs of printing paper costing €6 each

The cashier gave him €8 change from a €100 note. William gave the

cashier an angry look. What did the cashier do wrong?

Explain in words and show your working in the space below.

________________________________________________________

________________________________________________________

________________________________________________________

25 31

29

354

239

150

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Question 5: Fill in the following table by rounding the numbers.

Number Nearest 10 Nearest 100 Nearest 1000

5723

25 678

5 499

Question 6:The following table shows the prices for some activities:

a) How much will it cost Becky to do dance classes for 12 months?

€_____________________

b) What is John’s cost for a 6 month gym membership?

€_____________________

c) If Karl pays €246 for piano lessons. How many months does he pay

for?

__________________ months.

Dance Classes €78 per month

Piano Lessons €82 for two months

Gym membership €47 per month

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Question 7: Are these calculations True or False? Show your working in

each case.

Question Working True or False?

360 + 52 − 75 + 37 = 300

267 − 300 + 124 − 12 = 145

60 − (24 + 32) ÷ 8 = 53

32 + 20 ÷ 10 × 5 = 55

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Topic 2: Collecting & Displaying Data

Question 1: Jenny asked her friends about their favourite TV talent

show. When taking down the raw data Jenny wrote: XF for The X-factor,

SYT for So You Think You Can Dance, TV for The Voice, AGT for America’s

Got Talent, AI for American Idol.

XF TV TV XF AI AGT

SYT XF XF XF AGT AI

XF XF TV AGT AI SYT

XF TV TV AGT SYT AI

a) How many friends did Jenny ask? _______________

b) Complete the frequency table below to organize the above data.

TV Talent Show Tally Frequency

XF

TV

SYT

AI

AGT

c) Draw and label a bar chart to help Jenny visualize the results.

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Question 2: The weights of four athletes are displayed below.

a) Who is the lightest athlete? _______________________________

b) Write down Marty’s weight. ____________________________

c) Find the difference between Ryan’s and Fred’s weight.

____________________________

Challenge Question:

Ms Jackson asked the 32 students in her tutor group which languages

they study. Each student studies one language only.

Half of the students study Spanish.

Six more students study German than French.

Complete the following bar chart based on this information.

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Topic 3: Number & Patterns

Question 1:

a) Add together the first five prime numbers

________ + ________ + ________+ ________ + ________ = ________

b) Subtract the answer to (a) from 60.

Do you get an even or odd number?

Check () the right box

c) Jill thinks of a number. It is smaller than 40, it is a square number,

it is a multiple of 3, and 6 is one of its factors. What is Jill’s number?

___________________________

d) Complete the diagram to show all the factors of 63:

I get an even number I get an odd number

63

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e) Draw the factor tree of 63 to express it as a product of prime

factors:

63 = ____________________________

f) Write your answer to e) above in index form

______________________________

Question 2:

a) Fill in the missing terms in the following sequences:

i) 100, 96, 92, 88, _________, _________ . . . .

ii) _________, 13, 20, _________, 34 , 41 . . . .

iii) 1, 4, 9, 16, _________, _________ . . . .

iv) The numbers in iii) above are called

_______________________________________________

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b) The diagrams show a pattern using matchsticks

i) Draw the missing diagram in pattern 3

ii) Complete the table below:

Question 3:

Are these statements on factors and multiples True or False?

Circle or colour the correct answer:

a) 8 is a factor of 56

b) 2 and 6 are factors of 36

c) All of the factors of 16 are: 1,2,8, and 16

d) 7 is a factor of 45

e) 18 is a multiple of 8

f) 72 is a multiple of both 8 and 9

g) 8 is a multiple of 24

h) 53 has no factors except for 1 and itself

Pattern 1 2 3 4 5

Number of

matchsticks 12 19

True False

True False

True False

True False

True False

True False

True False

True False

Pattern 1 Pattern 2

Pattern 3

Pattern 4

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22 53225

Question 4:

a) Using any method, find the HCF and LCM of 24 and 18.

You may use the below table to help you.

Prime Factor Trees of 24 and 18

HCF of 24 and 18: ______________________________________

LCM of 24 and 18: ______________________________________

Question 5: When written as the product of prime factors

a) Write 150 as a product of prime factors. Give your answer in index

form.

150 = _______________________

b) Hence, work out the LCM of 225 and 150.

LCM of 225 and 120 = _________________________

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Topic 4: Parts of a Whole

Question 1:

a) What fraction of each shape is shaded? (Do not simplify)

b) What are these fractions called? ____________________________

Question 2:

a) Fill in with < , > or =

4

5 ______ 80%

12 ______ 23

82 ______ 16

b) Arrange the following in order of size, largest first.

Show your working:

0.2, 2

5 , 0.37,

3

8 , 36%, 74%

___________________________________________________

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c)Write 17

6 as a mixed number ___________________________

d)Write 32

7 as an improper fraction ___________________________

Question 3: Maggie and Ian are collecting pictures of famous singers.

Ian has 56 pictures. Maggie has 4

7 of what Ian has.

a) Work out how many pictures Maggie has.

Maggie has ________ pictures

b) Maggie collects another 3 pictures. Write the number of pictures

Maggie has now, as a fraction of Ian’s pictures. Give your answer

in simplest form.

Question 4: One day at St. George’s Comprehensive,

of the pupils walked to school, of the pupils came to school by bus,

the remaining 68 pupils came by car.

a) Work out .

b) What fraction of the pupils came by car? _________________

Question 5: Find the value of . Give your answer as a

mixed number.

_________________

2

1

5

2

5

2

2

1

4

32–

3

24