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Name______________________________________________
Date__________________________
Chapter 1-3 Benchmark Check
Class_________________________
Multiple Choice (must show work where needed)
1. What is the greatest common factor of 28 and 36?
A. 2
B. 4
C. 7
D. 8
2. Which of the following has a negative value?
A.
B.
C.
D.
Receiving a pay raise of $100
Walking down three flights of stairs
Taking an elevator up four floors
Putting $100 in a bank account
3. In a certain month, a city recorded a maximum temperature of 12℃ and a minimum temperature of -2℃. What
is the temperature difference?
A. 8℃
B. 10℃
C. 14℃
D. 24℃
4. Which of the following inequalities is true?
A.
B.
C.
D.
|157|
|−375|
|−157|
|−375|
> |375|
> |−157|
> 375
< -157
5. What is the value of
A.
2
9
2
3
÷
B.
8
9
?
16
27
C.
3
4
D. 1
5
9
6. What is the value of 9.3 x 0.65?
A.
6.045
B. 8.65
7. What is the value of 7.8 ÷ 0.3?
A.
2.34
B. 2.6
C. 9.95
D. 14.308
C. 7.83
D. 26
2
8. Mary leads 12 hours of storytelling sessions at the library in a month. Each session lasts 3 hour. How many
sessions does Mary lead in a month?
A.
8
B. 10
9. What is the sum of |−12| and |9| ?
A.
-3
B.
3
10. What is the value of 16 ÷
A.
2
3
10
B.
2
3
C. 18
D. 20
C. -21
D. 21
?
1
3
15
C. 16
2
3
D. 24
Short Answer
11. Draw a horizontal number line to represent odd numbers greater than -41 but less than -27.
12. Draw a horizontal number line with decimals from 12.4 to 13.8, with an interval of 0.2 between each pair of
decimals.
13. Write 81 as a product of its prime factors.
14. Write 72 as a product of its prime numbers.
15. Find the least common multiple of 9 and 15.
16. Find the greatest common factor of 12 and 18.
17. Write an inequality for the statement:
The average temperature in January was -2℃, which is colder than February’s average temperature of 3℃
18. Ross has 2 liters of juice. He drinks 0.21 liter of juice each day. For how many days will the juice last?
1
19. If 30 gallons of water are poured into 5 gallon containers, how many full containers can be filled?
20. Solve using cross cancelling:
𝟏𝟐
𝟏𝟓
X
𝟗
𝟐𝟒
3÷
21. Solve the following using a bar model:
1
𝟔
𝟖
3
22. A chef buys 42 pounds of broccoli. Each recipe calls for 4 pound of broccoli. How many casseroles can the chef
prepare before she runs out of broccoli?
23. A wooden plank is 19 feet long. Mr. Peterson cuts off 3 feet off the end of the wooden plank. He then cuts the
1
5
remaining piece of wood into equal pieces each foot long. How many pieces does Mr. Peterson cut?
24. A pound of beans costs $4.70. Mrs. Patel buys 6.5 pounds of beans. How much does she pays for the beans?
25. A shop sells candles in boxes of 3 for $12.60 each or 1 candle for $5.50.
a.) How much do 8 candles cost? (cheapest way)
b.) How many candles can you buy with $20?(the most)