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Master 1.15a
1.
Name
Date
Unit Test: Unit 1
Patterns in Whole Numbers
Solve each problem. Which strategy did you use?
Why did you choose that strategy?
a) Fong has 353 pennies, 227 nickels, 132 dimes, 53 quarters, and 27 toonies.
How much money does she have altogether?
(9 marks)
b) Jason estimates that he drinks about 300 mL of orange juice in a day. About how much
orange juice does he drink in a month?
c) Josephine bought a ruler for $1, a pencil sharpener for $1, a clipboard
for $3, some glue for $2, a geometry set for $5, and a binder for $2.
How much money did she spend altogether, before tax?
2.
Find the common factors of 16 and 36. What is their GCF?
(3 marks)
3.
Find the first 9 multiples of 8 and 6. What is their LCM?
(3 marks)
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Name
Master 1.15b
4.
Date
Unit Test continued
Find:
a)
169
(3 marks)
b) 63
c) the square of 7
5.
Find three consecutive numbers whose sum is equal to 216.
(1 mark)
6.
Write the next 3 terms in each number pattern.
a) 7, 10, 15, 22, …
(6 marks)
b) 7, 14, 28, 56, …
7.
Siew takes violin lessons every third day of the month.
She plays softball every fifth day of the month.
How many times in a month will Siew have the two activities
on the same day?
Which days of the month will they be?
Explain your thinking.
(3 marks)
8.
Use the clues to find a mystery number. Explain your thinking.
Clue 1: I am a 2-digit number.
Clue 2: I am greater than 144 , but less than 62.
Clue 3: I have 17 as a factor.
Clue 4: I am not a prime number.
What am I?
(3 marks)
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Name
Master 1.15c
9.
Unit Test continued
Misha, Sasha, and Devon bought hockey cards.
Each package contains the same number of cards.
Misha bought 120 cards. Sasha bought 180 cards. Devon bought 96 cards.
What is the greatest number of cards that could come in one package?
10. Extend the following pattern in as many different ways as you can.
Give at least 4 patterns
State the pattern rule for each pattern you write.
Why are so many different patterns possible?
3, 6, …
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Date
(4 marks)
(5 marks)
Name
Master 1.16
Date
Sample Answers
Unit Test – Master 1.15
1.
a)
$95.33; I used a calculator because there are many
steps, the numbers are large, and I need an exact
answer.
b) About 9000 mL or 9 L; I used mental math.
I assumed 30 days in a month. I calculated
30  30 mentally.
c) $14; I used mental math because the numbers are
easy to handle.
2. Common factors: 1, 2, and 4
GCF: 4
3. Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54
LCM: 24
4. a) 13
b) 216
c) 49
5. 71,72,73
6. a) 31, 42, 55
b) 112, 224, 448
7. Twice; on the 15th and 30th days
I assumed there were 30 days in a month.
The common multiples of 3 and 5 are 15 and 30.
8. 34; the number is greater than 12 but less than 36.
The numbers between 12 and 36 that have a factor of
17 are: 17 and 34.
Of these 2 numbers, 17 is a prime number as it has only
2 factors, itself and 1.
9. 12 cards
10. Some possible patterns:
3, 6, 9, 12, 15, …
Start at 3. Add 3 to get the next number.
3, 6, 10, 15, 21, …
Start at 3. Add 3. Increase the number you add by
1 each time.
3, 6, 12, 24, 48, …
Start at 3. Multiply by 2 to get the next number.
3, 6, 18, 72, 360, …
Start at 3. Multiply by 2. Increase the number you
multiply by, by 1 each time.
Many patterns are possible because there are not enough
given terms to define the pattern.
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