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Gr 7 Term 1 Review

Total questions: 25

Worksheet time: 27mins

Name
Class
Date
1.

Which of the following is an NOT example of a set?

a)

Set A is a set of all primary colors.

b)

Set B is a set of subjects of grade 7 students.

c)

Set C is a set of English Alphabets

d)

Set D is a set of Beautiful Sceneries

2.

What set operation is represented by the given Venn Diagram?

a)

A u B

b)

A B

c)

A - B

d)

B - A

3.

Based on the given set, what is A ∩ B ?

a)

{1, 2, 3}

b)

{4, 5, 6}

c)

{7, 8, 9}

d)

{10}

4.

In a class of 30 students, 18 students play basketball, 12 students play soccer, and 6 students play both basketball and soccer. How many students play neither basketball nor soccer?

a)

2

b)

6

c)

10

d)

14

5.

In a school, 50 students are surveyed about their favorite subjects. 28 students like Math, 22 students like Science, and 12 students like both Math and Science. How many students like either Math or Science but not both?

a)

14

b)

38

c)

26

d)

40

6.

-6 is the multiplicative inverse of what number?

a)

6

b)

-6

c)

16\frac{1}{6}

d)

16-\frac{1}{6}

7.

It states that changing the groupings of the addends does not affect the sum:

a + ( b + c ) = ( a + b ) + c

a)

Commutative Property of Multiplication

b)

Associative Property of Addition

c)

Associative Property of Multiplication

8.

 Identify the property used

 (-3) (5 + 9) = (-3) (5) + (-3) (9)

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Multiplicative Identity Property

d)

Multiplicative Inverse Property

e)

Distributive Property

9.

Which of the following is rational?

a)

5\sqrt{5}

b)

78\sqrt{78}

c)

125\sqrt{125}

d)


81\sqrt{81}

10.

Which of the following does not belong to the group?

a)

25\sqrt{25}

b)

100\sqrt{100}

c)

24\sqrt{24}

d)

64\sqrt{64}

11.
-√144
a)
12
b)
13
c)
-12
d)
None of the above
12.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
13.

Determine which set has a rational root.

a)

{45, 60, 64} \left\{\sqrt{45},\ \sqrt{60},\ \sqrt{64}\right\}\

b)

{25, 49,81} \left\{\sqrt{25},\ \sqrt{49},\sqrt{81}\right\}\

c)

{50, 80, 100} \left\{\sqrt{50},\ \sqrt{80},\ \sqrt{100}\right\}\

d)

{49, 64, 84} \left\{\sqrt{49},\ \sqrt{64},\ \sqrt{84}\right\}\

14.

A wire, attached to a pole, has length  53\sqrt{53} meters. Which of the following can be used to estimate the length of the wire?

a)

The length of the wire is between 5 to 6 meters.

b)

The length of the wire is between 6 to 7 meters.

c)

The length of the wire is between 7 to 8 meters.

d)

The length of the wire is between 8 to 9 meters.

15.

The temperature on Sunday was -15o C. The temperature on Monday was 12 degrees less than the temperature on Sunday. What was the temperature on Monday?

a)

-27

b)

-3

c)

3

d)

27

16.

Marie and Nancy are scuba diving. Marie descends to a depth of 15 feet below sea level. Nancy descends to a depth of 22 feet below sea level. What is the difference in their depths?

a)

13 ft

b)

37 ft

c)

7 ft

d)

-13 ft

e)

-7

17.
The air temperature in the North Pole in the morning was 3 degrees Celsius.  By 10:00am the temperature dropped 12 degrees.  By noon the temperature had gone up 5 degrees.  At 3:00pm the temperature went up 9 degrees.  By nightfall the temperature had dropped 16 more degrees.  What was the temperature at the North Pole at nightfall?
a)
11 degrees
b)
0 degrees
c)
-11 degrees
d)
-9 degrees
18.
2.  Elaine was rock climbing.  She began her climb at an elevation of 100 feet below ground level, then hiked up 500 feet. What is her elevation now?
a)
600 feet about ground level
b)
600 feet below ground level
c)
400 feet above ground level
d)
400 feet below ground level
19.
a)
-6c5
b)
-6c
c)
6c
d)
-6c6
20.
a)
b)
c)
d)
21.

(abc)-4

a)

1a4b4c4\frac{1}{a^4b^4c^4}

b)

1a4b4c4\frac{1}{a^{-4}b^{-4}c^{-4}}

c)

a4b4c4a^4b^4c^4

22.

(6xy9x2y2)0\left(\frac{6xy}{9x^2y^2}\right)^0  

a)

12\frac{1}{2}  

b)

23\frac{2}{3}  

c)

23xy\frac{2}{3xy}  

d)

11  

23.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
24.

a3b2a2b3\frac{a^3b^{-2}}{a^{-2}b^{-3}}  

a)

a5ba^5b  

b)

a5b5\frac{a^5}{b^5}  

c)

a6b6a^6b^6  

d)

a5b\frac{a^5}{b}  

25.

5x0y4z210x2y4z3\frac{5x^0y^4z^{-2}}{10x^{-2}y^{-4}z^3}  

a)

x2y162z5\frac{x^2y^{16}}{2z^5}  

b)

x2y82z6\frac{x^2y^8}{2z^6}  

c)

x2y162z6\frac{x^2y^{16}}{2z^6}  

d)

x2y82z5\frac{x^2y^8}{2z^5}