Sydney Girls High School
MATHEMATICS Year 7 – Assessment Term 4 - 2015 Time Allowed: 60 minutes (+5 (+5 minutes reading reading time) Topics:
Computation with Integers (Chapters 1 and 3) Angle Relationships (Chapter 2) Fractions, Decimals and Percentages ( Chapter 4) Simple Probability (Chapter 5) Indices with Numerical Bases (Chapter 11) Computation with Decimals and Fractions (Chapter 4) Algebraic Techniques ( Chapter 8) Time (Chapter 7) Instructions:
Total:
There are FIVE (5) questions which are of equal value. Attempt all questions. Show all necessary working. Marks may be deducted for badly arranged work or incomplete working. Start each question on a new page. Write on one side of the paper only. Diagrams are NOT to scale. Write your name and your teacher’s name clearly at the top of each question and clearly number each question.
/70 marks
Student’s Name:
Teacher’s Name:
BLANK PAGE
Year 7 : Term 4 Assessment 2015
Page 2
Marks
Question 1 (14 marks) (a)
(b)
(c)
Write in index form
Write
50
s s t t s t
as a mixed fraction in simplest form
4
Simplify:
4 z 10 p 3 p 2 z
ii)
7 u 2 u
iii)
3 xy 6 yx y
(d)
2 Find of 60 kg 5
(e)
Evaluate:
1
1
74
iii)
5 7 5 2
2 1 5
(f)
Expand and simplify
(g)
Convert 372 minutes into hours and minutes
(h)
1
3
i)
i)
1
A ball bounces
2 of the distance through which it falls. If it bounces to a height of 3
2
2
1
2
72cm after the first bounce, find the height from which it was originally dropped.
Year 7 : Term 4 Assessment 2015
Page 3
Marks
Question 2 (14 marks)
(a)
If m is the number of matchsticks and p is the pattern number:
(b)
p
1
2
3
4
m
14
17
20
23
i)
Find the algebraic rule which links p and m
ii)
How many matches are required to make the 70 th pattern?
Josh purchased 4 items from a store. He can remember that three of the items cost $11.27, $8.42 and $7.91. He knows that he got $16.25 change from a $50 note. How much did the fourth item cost?
(c)
Find the value of the pronumeral giving reasons
B
A
(e)
1
2
2
C
E
D
(d)
2
Three essays are marked by a teacher. The first essay takes 5 minutes and 54 seconds to mark, the second takes 6 minutes and 12 seconds, and the third takes 7 minutes. What is the total time taken to complete marking the essays?
2
Evaluate: 1
(i)
2
3
2
0
2 2 (ii) 0.3 (1)
2
2 3
(iii)
3
( 2)
2
10
Year 7 : Term 4 Assessment 2015
Page 4
Marks
Question 3 (14 marks) (a)
Place the correct symbol ( <, = , > ) (i)
(ii)
5
15
7
21
2
5
5
8
2
(b)
The points A (-2,0), B (-1, y) and C (0,0) all lie on a straight line. Find the coordinates of point B.
(c)
Simplify : (i)
ab 2 ab 3
(ii)
a2 a2 a2
(iii)
12 xy x 4 6 x 2
1
1
2
(d)
Which of the numbers
(e)
Write
(f)
(g)
1 %
1
20, , 0, , 10
is greater than its square?
as a decimal.
1
1
Find the value of the pronumeral by substituting in the given values:
(i)
m ap ap 2 where a 4, p 5
(ii)
A
b
2
c where b 5, c 9
Find the value of the pronumeral a. Give reasons for your answer.
b
1
2
2
Year 7 : Term 4 Assessment 2015
Page 5
Marks
Question 4 (14 marks) (a)
Evaluate leaving your answer in simplest form: (i)
(ii)
1
2
3
(b)
Find the fraction half way between and
(c)
When 3.79 is taken away from a number the answer is 5.076. Find the number.
(d)
When playing with a spinner with the numbers 1 to 3 on it, the following numbers come up:
1
1
2
2, 1, 2, 3, 1, 2, 3, 2, 2, 1
(i) What is the experimental probability of getting a 1 or 2? (ii) Based on this experiment, how many times would you expect to get a 1 if you spin 100 times?
5.02, 5.18, 5.2, 5.007 5.018
(e)
When the numbers number is in the middle?
(f)
Write an algebraic expression for the following statement: 7 less than the difference of x and y
(g)
For the numbers
6 ,12,42 find:
are arranged in ascending order, what
1
2
2
(i) The LCM (ii) The HCF
Year 7 : Term 4 Assessment 2015
Page 6
Marks
Question 5 (14 marks) (a)
(b)
The average of -5, -3 and a third number is 2. What is the third number?
Find the value of
2
2
2
(c)
Expand and simplify 3 x(4 x) 2 x( x 3) x 2
(d)
The temperature at 5:00 am at Ryde was every hour till 3:00 pm. Then it decreased by temperature at 7 pm?
(e)
58 people took a trip to Europe to visit either France, England or Spain. Of this group, 26 visited France, 38 visited England, 29 visited Spain, 10 visited France and Spain, 12 visited only Spain, 13 visited only England, and 8 visited all three countries.
2
12°. The temperature increased by 1.5° 1° every hour till 7 pm. What was the
(i) Represent the findings in a Venn Diagram
2
(ii)
1
How many people visited only France?
(iii) If a person was picked at random, what is the probability that this person visited England and France?
(f)
How many three-digit numbers are not divisible by 5, have digits that sum to less than 20, and have the first digit equal to the third digit?
(g)
If 3 x
2
320 320 318
19
3
Year 7 : Term 4 Assessment 2015
20
3
19
3
18
3
21
3
19
3
, determine the value of x
1
1
1
Page 7
END OF EXAM
Year 7 : Term 4 Assessment 2015
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