Math
8
General
Review Worksheet.
1. Mary bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each.
The tax on the entire purchase was 18¢. What was the total cost of the items?
2. Seventy-five beans were equally divided into five pots. How many beans were in
each pot?
3. Robo could run 11 miles in 2 hour. At that rate, how many miles could Robo run in
5 hours?
4. At 11:45 A.M. Jason glanced at the clock. His doctor’s appointment was in 2
hours. At what time was his appointment?
1
2
5. Write the number of shaded rectangles shown as a mixed number.
6. Twenty-five percent of this square is shaded. If the square represents a value of 60,
determine the value of the unshaded part of the square.
7. To what number is the arrow pointing?
8. Half of 100 is 50, and half of 50 is 25. What number is half of 25?
9. The length of segment AC is 78 millimeters. If BC is 29 millimeters, then what is
the length of segment AB?
10. What is the total price of a $45.79 item when 7% sales tax is added?
11. How many quarter-pound hamburgers can be made from 100 pounds of ground
beef?
12. There were 13 original states. There are now 50 states. What is the increase
percent of the states?
13. The area of a square is 64 cm2. What is the perimeter of the two squares placed
side by side?
14. 26.9 + 11 + 3w = 49.9 Find w.
15. If d = rt, and if r = 60 and t = 4, what does d equal?
16. A one-quart container of oil costs 89¢. A case of 12 one-quart containers costs
$8.64. How much is saved by buying the oil by the case?
17. The perimeter of the square equals the perimeter of the regular pentagon. Each
side of the pentagon is 16 cm long. How long is each side of the square?
18. Find the volume of the triangular prism shown. Dimensions are in millimeters.
19. The sale price of an item on sale for 40% off is $48. What was the regular price?
20. 4w = 82 Find w.
21. Simplify
22. Simplify
23. If
24.
, find a.
Math
8
General
Review Worksheet.
Key
1. Mary bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each.
The tax on the entire purchase was 18¢. What was the total cost of the items?
$1.98 + 2 · $0.49 + $0.18 =
$3.14
The total cost of the items was $3.14
2. Seventy-five beans were equally divided into five pots. How many beans were in
each pot?
75 ÷ 5 = 15 beans
15 beans were in each pot.
3. Robo could run 11 miles in 2 hour. At that rate, how many miles could Robo run in
5 hours?
11 

2
5
(
) = 11· 5 ÷ 2 = 27.5 miles
Robo could run 27.5 miles in 5 hours.
4. At 11:45 A.M. Jason glanced at the clock. His doctor’s appointment was in 2
hours. At what time was his appointment?
Change 2
1
to 2:30
2
and then add to 11:45
2:30 + 11:45 = 13:75 = 14:15 = 2:15 P.M.
Convert 60 minutes to 1 hour.
Jason’s appointment was at 2:15 P.M.
1
2
5. Write the number of shaded rectangles shown as a mixed number.
3 wholes and 1 sixth = 3
1
6
6. Twenty-five percent of this square is shaded. If the square represents a value of 60,
determine the value of the unshaded part of the square.
Unshaded part of the square is 75%, so
75% · 60 = 0.75 · 60 = 45
The unshaded part of the square represents 45.
7. To what number is the arrow pointing?
There are 5 intervals in each 10 units,
so each interval has a value of 2.
The arrow is pointing at the 3rd interval on the right to 280: 6 + 280 = 286.
The arrow is pointing at 286.
8. Half of 100 is 50, and half of 50 is 25. What number is half of 25?
25 ·
1 25

= 12.5
2 2
12.5 is half of 25.
9. The length of segment AC is 78 millimeters. If BC is 29 millimeters, then what is
the length of segment AB?
Segment AB = 78 − 29 = 49 mm.
10. What is the total price of a $45.79 item when 7% sales tax is added?
Total percent is 100% + 7% = 107%
107% · $45.79 = 1.07 · $45.79 = $49.00
The total price is $49.00 including the sales tax.
11. How many quarter-pound hamburgers can be made from 100 pounds of ground
beef?
100 ÷
1
4
= 100 ·  400 quarter-pound hamburgers
4
1
400 quarter-pound hamburgers can be made.
12. There were 13 original states. There are now 50 states. What is the increase
percent of the states?
37
increase
100%  285 %
100%  increase%
13
old
The increase percent of the states is 285%.
13. The area of a square is 64 cm2. What is the perimeter of the two squares placed
side by side?
If A = 64 cm2, then side = 8 cm
Perimeter = 6 · 8 cm = 48 cm
The perimeter of the two squares is 48 cm.
14. 26.9 + 11 + 3w = 49.9 Find w.
First we simplify the equation, 37.9 + 3w = 49.9
−37.9
−37.9
3w = 12
÷3
÷3
w=4
15. If d = rt, and if d = 60 and t = 4, what does r equal?
To solve this problem, we substitute the given value for the specific variable.
d = rt --------> 60 = r · 4
÷4
÷4
r = 15
16. A one-quart container of oil costs 89¢. A case of 12 one-quart containers costs
$8.64. How much is saved by buying the oil by the case?
Find the total cost of buying twelve one-quart container of oil separately:
12 · $0.89 = $10.68 ;
saving = $10.68 − $8.64 = $2.04
You save $2.04 by buying the oil by the case.
17. The perimeter of the square equals the perimeter of the regular pentagon. Each
side of the pentagon is 16 cm long. How long is each side of the square?
Perimeter of square = Perimeter of pentagon
4 · s = 5 · 16 = 80 cm
4 · s = 80 cm
÷4
÷4
s = 20 cm
Each side of the square is 20 cm.
18. Find the volume of the triangular prism shown. Dimensions are in millimeters.
V = Base area · altitude =
1
· 30 · 40 · 50 = 3000 mm3
2
19. The sale price of an item on sale for 40% off is $48. What was the regular price?
40% off means you pay 60% of regular price, and let it be the blank.
(0.6)
60% · _________ = $48 ------> (0.6) · _________ = $48
÷ 0.6
÷ 0.6
_________ = $80
The regular price of the item was $80.
20. 4w = 82 Find w.
First simplify : 4w = 64
÷4
÷4
21. Simplify
w = 16
Must change all fractions to improper fractions
before multiplying (canceling).
24 10 15
 
5 9 8
22. Simplify
Bedmas, common denominator is needed.
23. If
, find a.
Cross multiply and divide.
24.
w
x
and
x
w
So
are reciprocal to each other, just like 3 and
x
1
= .
w
3
1
.
3