Download Math 7 Cumulative Review # 6

Math 7 Cumulative Review # 5
Name: _______________________
Due Date: ____________________
1
Chapter 2 – Operations on Decimal Numbers
1. Match the definition that best fits each description:
a. ____ The accepted order for finding the
value of math expressions
b. ____ A reasonable guess
c. ____ An estimate that is larger than the
answer
d. ____ An estimate that is smaller than
the answer
A estimate
B order of operations
C underestimate
D overestimate
2. Calculate the answer to 17.25 + 5.32 – 8.2.
3. Calculate the answer to 85.6 – 34.83.
4. Estimate the answer to 8.75 × 41.88 using front-end estimation.
5. Calculate the answer to 8.1 ÷ (0.65 + 3.3).
6. A month ago, Jenna had $56.80 in the bank. Since then, she deposited
$13.45, $25.00, and $95.25. She used her debit card to purchase clothes that
totaled $52.49. How much does she now have in the bank? (Be sure to
include a number sentence with your answer.)
7. Five friends eat at a restaurant. The total bill is $63.25. To share the cost
equally, how much should each pay? (Be sure to include a number sentence
with your answer.)
2
Chapter 4 – Fractions, Decimals, and Percent
8. An iPod is on sale at 35% off the regular price of $199.99. How
much is the discount?
9. In a grade seven class, 18 students have pets and 12 do not. What
percent of the class has a pet?
10. Arrange the numbers 0.55,
2 , and 60% in ascending order.
3
11. Calculate
a) 45% of 60
b) 28% of 120
c) 65% of 80
d) 25% of 200
e) Arrange your answers in descending order.
3
12. Your calculator display shows a decimal value of 0.52525252525.
Write the exact decimal value of the number using bar notation.
Explain your thinking.
13. Write as a decimal.
a)
3
8
b) 3
1
5
14. Write each decimal as a fraction in lowest terms.
b) 0.75
b) 4.375
15. Express each as a percent.
a)
53
100
b) 0.235
c) 0.6
e)
4
5
d) 0.08
f)
6
20
Chapter 6 and 7 – Fraction Operations
For questions 16 & 17 circle the best answer.
16. Adding all of the digits in a whole number and then checking if the
sum is divisible by 9 is the rule for
A divisibility by 9
C divisibility by 4
B divisibility by 6
D divisibility by 3
17. ABCDE represents a five-digit whole number. You are told that
ABCDE is divisible by 5. Which of the following must be true?
A E must be 0, 2, 4, 6, or 8.
C E must be 0.
B E must be 0, 2, 4, or 6.
D E must be 0 or 5.
4
18. Write an equivalent fraction for:
a)
3
5
b)
3
10
19. Write each improper fraction as a mixed number in simplest form.
a)
24
5
b)
99
6
20. Write each number as an improper fraction.
a) 1
5
9
b) 2
7
8
21. Write a mathematical statement for each diagram. Solve and write
each answer in lowest terms.
a)
b)
22. Add. Write each answer in lowest terms. Show your work.
4
3
Example: 1 + 3 = 4 = 1
8
8
8
2
a) 1 + 2 =
3
3
4
b) 3 + 1 =
8
d)
8
1 3
 
2 8
=
=
1
=
1 ___
3
c)
1
1
+
=
12
12
e)
1 3
 
6 4
=
23. Subtract. Write each answer in lowest terms. Show your work.
5
4
Example: 15  3 = 12 = 3
16
16
16
4
4
2
a) 5  3 =
6
=
6
4
b) 7  3 =
8
8 2
 
12 3
c) 11  2 =
=
8
2
d)
 __
12
=
12
4
e)
 __
3 3


5 10
f)
7 1
 
8 2
Chapter 9 – Add and Subtract Integers
24. Add or Subtract.
a)
b)
c)
d)

7   4  _____
e)

5   6  _____
f)

2   7  _____
g)

8   19  _____
h)


3   5  _____
15 


15  _____
12   16  _____
0   7  _____
25. Arrange the following integers in order from least to greatest:
a)  4,  3,  5,  2,  2,  7
__________________________________
b)  8,  3,  13,  6,  4,  16
_______________________________
c)  3, 0,  1,  11,  6,  7,  15 _____________________________
26. Write as an integer.
a) Twenty degrees Celsius below zero. ________________
6
b) One hundred fifty metres above sea level. _____________
c) Seven minutes before departure. ___________
d) Thirteen dollars spent. _______________
e) Seventy-five dollars earned. ___________
27. A bird flies above the water at a height of 42 m. A fish swimming directly
underneath the bird is 7 m below the surface of the water. Calculate the distance
between the bird and the fish. Show all your work.
Chapter 1 – Coordinates and Design
28. Write the coordinates for each of the points shown on the graph below and
name the quadrant that each point is located in.
C
A
Coordinates:
Quadrant:
A (_______,_______)
_______
B (_______,_______)
_______
C (_______,_______)
_______
D (_______,_______)
_______
E (_______,_______)
_______
D
E
B
29. Describe each translation in words.
a) [4,-7]
b)
7
30. Draw the translation image for the ∆ABC for the translation [-4, -2]. Write the
new coordinates.
New Coordinates:
A
A′ (_______,_______)
B
B′ (_______,_______)
C′ (_______,_______)
D′ (_______,_______)
C
D
31. Draw the reflection image of the figure below in the reflection line m. Write the
coordinates for the vertices of the image.
New Coordinates:
C′ (_______,_______)
F
D
G
D′ (_______,_______)
E′ (_______,_______)
E
F′ (_______,_______)
G′ (_______,______)
H′ (_______,_______)
C
H
m
8
32. Draw the rotation image for ∆LMN with a rotation of 90º clockwise about the
origin. Write the coordinates of the corresponding vertices of the image.
A
C
New Coordinates:
A′ (_______,_______)
B′ (_______,_______)
C′ (_______,_______)
B
33. Match the transformation to its related action.
Translate
Turn
Reflect
Slide
Rotate
Flip
34. The un-shaded figures are images of the shaded figure. Name which
transformation each figure has undergone.
A: _____________________
A
B: _____________________
C: _____________________
D
F
D: _____________________
E: _____________________
C
F: _____________________
B
E
9