Waverley College
Year 7 Mathematics Examination
Term 1 2015
TIME ALLOWED: 45 MINUTES
Name: ________________________
INSTRUCTIONS:
Attempt all questions.
Write your answers in the space provided.
Calculators may not be used.
Write in blue or black pen only.
Show all necessary working.
Section 1: Multiple choice
/10
Section 2: Whole Numbers
/ 21
Section 3: Integers
/19
Literacy
/10
TOTAL
/62
PERCENTAGE
%
SECTION 1: Whole Numbers Multiple Choice (20 marks)
Circle the correct answer.
1. Evaluate 67 × 5.
A 200
2. Evaluate
3
B 305
C 670
D 335
B9
C 27
D1
27 .
A3
3. Evaluate 90 ÷ 5
A9
B 18
C 10
D 45
4. Which power of 10 is equal to one million?
A 104
B 106
C 107
D 108
C 18
D 21
5. The value of 12 – 6 ÷ 3 + 12 is:
A 14
B 22
6. An appropriate mental strategy to help simplify 7  99 is to:
A Multiply 7 by 99 then subtract 99
B Multiply 7 by 100 then subtract 1
C Multiply 7 by 100 then subtract 99
D Multiply 7 by 100 then subtract 7
7. Evaluate 92.
A 18
B9
C 81
D3
8. What is the Greatest Common Divisor of 24 and 30
A 2
B 6
C 12
D 24
9. In the calculation of
5 × [16 ÷ (5 – 1)] + 8 the first operation to do is:
A +
10.
B –
C ×
D ÷
Circle all the numbers that are divisible by 4?
A 18
B 22
C 112
D 250
SECTION 2: Whole Numbers short answers (23 marks)
11. (3 marks) Evaluate each expression.
a 44 × 10
________________________________________
b 63 × 3
________________________________________
c 9900 ÷ 100
________________________________________
12. (1 Mark) Evaluate 731 ÷ 17.
13. (3 Marks)
Circle the numbers that are divisible by 3.
20
42
93
87
107
74
14. (1 mark) Write 8 × 8 × 8 × 8 × 8 × 5 × 5 × 5 using index notation.
15. (2 marks) Write each expression in expanded form.
a. 74
b. 63 × 36
16. (1 mark) Evaluate 26.
17. (2 marks) Evaluate the following
a. √36 = __________________________________
b.
𝟑
√64 = __________________________________
18. (1 mark) In his maths class, Mr Bailey was feeling generous and decided that in an
exercise with a large number of questions the students were only required to complete the
prime numbered questions. What is the number of the 5th question that should be
completed?
19. (7 marks)
a. Complete a factor tree for 132 and then write 132 as a product of primes.
132 = _______________________________
b. Draw a factor tree for 60 and then write 60 as a product of primes.
60 = ________________________________
c. Using the above two results, or otherwise, what is the Greatest Common Divisor (Highest
Common Factor) of 132 and 60?
SECTION 3: Directed Numbers (22 Marks)
20. (3 marks)
A man walks into a poker game and has $1000 to bet with. In the first round he wins an extra
$400. During the second round, he is not so lucky and ends up losing $500.
Express the amount gained or lost in each round as a directed number.
Round 1: _____________________
Round 2: _____________________
Calculate how much money the man has at the end of the game
21. (6 Marks)
Evaluate the following:
c) -21¸ 7
a) 35  (20) =
b) -16 - (-4)
=
=
d) 32 ¸ (-4) =
e)  7  (9) =
f) (+5) × (+13) =
22. (6 Marks)
Use order of operations to solve the following (show all necessary working on the lines
provided):
a.
−3 ÷ 3 + 9
= _______________________
= _______________________
b.
(−6 − 2) ÷ (−4) = _______________________
= _______________________
= _______________________
5 + 3  3 – 4  2 = _______________________
c.
= _______________________
= _______________________
−4 × 7 ÷ (−7 − 7) = _______________________
d.
= _______________________
= _______________________
= _______________________
23. (4 marks)
Place a < or > into the following:
a)
97 _____ 75
c) -10 _____ - 9
b) 32 _____ 125
d) -1 _____ -320
SECTION 3: Literacy (10 Marks)
Fill in the missing words in the sentences below. The words you will need are included in
the following list.
WORD LIST:
Opposite, prime, cube root, cube, simplify, divisibility, integers, laws, positive, index,
1. Positive and negative whole numbers are called ___________________________.
2. Every integer has an _________________.
3. The ____________ of arithmetic can help us ______________ calculations.
4. A positive integer multiplied by another positive integer gives a _________________
answer.
5. A factor tree is a diagram that lists the _________ factors of a number.
6. ______________ tests are rules for testing whether or not a number is divisible by a
specific value.
7. ______________ notation is a way of writing powers for the repeated multiplication of
a number, for example, 35.
8. The __________________ of 1000 is 10.
9. The __________________ of 5 is 125.