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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 _____________________
Senior 1 Half-Yearly Revision Ms Greta
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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