Math 9 LG 3 Unit 1 Pracitce Test #2

Name:

Multiple Choice
Identify the choice that best completes the statement or answers the question.

List all the whole numbers between 63 and 101 that are perfect squares.

a.	64, 81, 96	c.	64, 81, 100
b.	64, 81	d.	64, 72, 81, 100

Determine the value of

0.4

0.07

0.2

0.04

Which fraction is a perfect square?

ii)

iii)

iv)

iii

Which numbers are perfect squares?

i)      20.25
ii)      32
iii)      16.9
iv)      3.24

i and ii

i and iii

i and iv

ii and iii

Name the two whole numbers whose squares are closest to

49, 64

4, 9

7, 8

16, 25

Estimate the value of

, to the nearest tenth.

0.3

0.4

0.39

0.2

A square has an area of 27.8 cm².
Determine the side length of the square, to the nearest millimetre.

5 cm

5.2 cm

5.27 cm

5.3 cm

Evaluate:

-1

Evaluate:

-324

324

-36

10.

Express

as a single power.

11.

Write

as a product of powers.

a.		c.
b.		d.

12.

Write

as a product of powers.

13.

Write

as a quotient of powers.

14.

Which numbers are rational numbers?

, 3.6,

a.	and 3.6	c.	All of them
b.	and	d.	, 3.6, and

15.

Order the numbers from least to greatest.
-0.4,

, -0.44

a.	-0.44, , -0.4	c.	, -0.44, -0.4
b.	-0.4, , -0.44	d.	-0.4, -44,

16.

Write the addition statement that this number line represents.

a.		c.
b.		d.

17.

Estimate to determine which sum is greater than 0.

ii)

iii)

iv)

iii

18.

Which expression has the least sum?

ii)

iii)

iv)

iii

19.

Determine this difference.

20.

Which expression has the same answer as

ii)

iii)

iv)

iii

21.

Determine this difference.

–32.11

4.78

11.30

12.30

22.

Determine this difference.

23.

Determine this difference.

–

24.

The temperature at the top of a mountain is 10.5°C less than the temperature at the base of the mountain. If the temperature at the base is -4.4°C, what is the temperature at the top?

6.1°C

-14.9°C

–6.1°C

14.9°C

25.

Determine this product.
(–3.3) ´ 6

–19.8

–198

–1.98

19.8

26.

Which expressions have the same product as (-5.2) ´ (2.4)?

i)      (-3.2) ´ (-3.9)
ii)      -(2.6) ´ (4.8)
iii)      (1.6) ´ (-7.8)
iv)      (-1.2) ´ (-10.4)
v)      (2.4) ´ (-5.2)

i and iv

ii, iii, and v

i, ii, and v

iii, iv, and v

27.

Determine this quotient.
(–2.45) ¸ (–4.9)

0.05

0.5

–0.5

28.

At a harbour, the effect of the tide changed the water level by 14.3 m in 5.5 h.
What was the mean change in water level per hour?

-2.6 m/h

-19.8 m/h

-78.65 m/h

-8.8 m/h

29.

Evaluate.

4.32

1.8

2.14

4.66

30.

Evaluate.

-3.34

-1.24

-2.44

3.34

Short Answer

31.

Determine the value of

32.

Write the base and the exponent of this power:

33.

Complete this table.

Power	Base	Exponent	Repeated Multiplication


	7	3

34.

Write the quotient of

as a single power.

35.

Write the rational number represented by the letter P on the number line, as a decimal.

36.

Determine this sum.

37.

Which expressions have negative answers? Determine these negative answers.

ii)

iii)

38.

Which quotients are less than 0?

i) -

ii)

¸ (-

)
iii) -

¸ (-

)
iv)

¸ (-

)

39.

a) Determine this quotient.

b) Use the result in part a to determine these quotients.
i)

ii)

iii)

iv)

40.

Suppose each rational number below is divided by –0.6.
Evaluate the quotients that are less than –3.
–1.86, 4.74, –5.34, –3.66, 1.47

Problem

41.

The side length of square PQRS is half the side length of square ABCD.
Square ABCD has area 121 cm².

a) What is the area of square PQRS?
b) What is the length of each side of square PQRS?

42.

Evaluate:

Show your steps.

43.

In a set of cubes, there are 4 cubes of edge length 7 cm, 3 cubes of edge length 8 cm, 2 cubes of edge length 9 cm, and 1 cube of edge length 10 cm.
a) Which expression represents the total volume of the cubes?

ii)

iii)

b) Determine the total volume of the cubes.

44.

Identify, then correct, any errors in the work shown.

45.

Simplify, then evaluate. Show your work.

46.

The scale of a map is 1:100 000. This means 1 cm on the map represents 100 000 cm on land.
Determine, in square kilometres, the area represented by an area of 10 cm² on the map.
Explain your thinking.

47.

Simplify, then evaluate. Show your work.

48.

Calipatria, California, USA is 0.086 km below sea level; Winnipeg, Manitoba is 0.238 km above sea level; and Kimberly, British Columbia is 1.113 km above sea level.

a)      Represent the elevation of each city above or below sea level as a rational number.
b)      Sketch and label a vertical number line to show the sea level and the elevation of each city.
c)      Which city’s elevation is closest to sea level? Explain your reasoning.
d)      Which city has the greatest elevation? How do you know?

49.

Determine a rational number that makes the answer positive.

50.

The formula for the vertical distance travelled by an object shot straight up is

, where d metres is the distance covered, u metres per second is the initial velocity, t seconds is the time elapsed, and g metres per square second is the downward acceleration due to gravity.
Determine the distance travelled when u = 86, t = 4, and g = -9.8.