Generated Jul 25, 2026 at 12:18 PM from decimal.pdf
Mathematics
Decimals: Place Value, Number Lines, and Operations — New Practice Set
Decimals (place value, number line representation, fraction–decimal conversion, comparison, and operations)
100 pts
40 questions • ~35 min
Aayush Nayak
6-B
Grade 6
YBIS
Home
Read each question carefully and answer to the best of your ability. Show all working for word problems.
1.
1 pt
True / False
0.6 lies between 0 and 1 on the number line.
True
False
Answer:
True
2.
1 pt
True / False
In 5.408, the digit in the hundredths place is 0.
True
False
Answer:
True
3.
1 pt
True / False
4.5 is greater than 4.50.
True
False
Answer:
False
4.
1 pt
True / False
Adding zeros to the right of a decimal does not change its value.
True
False
Answer:
True
5.
1 pt
True / False
0.09 is greater than 0.9.
True
False
Answer:
False
6.
1 pt
True / False
In 3.205, the digit in the tenths place is 2.
True
False
Answer:
True
7.
1 pt
True / False
Seven hundredths is written as 0.07.
True
False
Answer:
True
8.
1 pt
True / False
Multiplying a number by 10 moves its decimal point one place to the left.
True
False
Answer:
False
9.
1 pt
True / False
0.25 is equivalent to 1/4.
True
False
Answer:
True
10.
1 pt
True / False
6.08 has eight tenths.
True
False
Answer:
False
11.
2 pts
Multiple Choice
Which decimal equals three tens and nine hundredths?
A. 30.09
B. 3.90
C. 39.00
D. 30.90
Answer:
A. 30.09
12.
2 pts
Multiple Choice
Between which two whole numbers does 1.7 lie?
A. 0 and 1
B. 1 and 2
C. 2 and 3
D. 17 and 18
Answer:
B. 1 and 2
13.
2 pts
Multiple Choice
Which of the following is the smallest number?
A. 5.07
B. 5.7
C. 5.17
D. 5.007
Answer:
D. 5.007
14.
2 pts
Multiple Choice
What is 4/5 as a decimal?
A. 0.45
B. 0.8
C. 0.54
D. 1.25
Answer:
B. 0.8
15.
2 pts
Multiple Choice
In 48.326, the value of the digit 2 is:
A. 2
B. 0.02
C. 0.2
D. 20
Answer:
B. 0.02
16.
2 pts
Multiple Choice
Which expression has the same value as 7.4?
A. 7 + 4/100
B. 7 + 4/10
C. 7 + 40
D. 74/100
Answer:
B. 7 + 4/10
17.
2 pts
Multiple Choice
Which decimal is NOT equal to 3.50?
A. 3.5
B. 3.500
C. 3.05
D. 3.5000
Answer:
C. 3.05
18.
2 pts
Multiple Choice
12 + 0.08 + 0.3 equals:
A. 12.11
B. 12.38
C. 12.83
D. 12.003
Answer:
B. 12.38
19.
2 pts
Multiple Choice
Convert 0.625 to a fraction in simplest form.
A. 5/8
B. 3/5
C. 1/8
D. 25/40
Answer:
A. 5/8
20.
2 pts
Multiple Choice
Calculate the product: 45.7 × 0.06
A. 2.742
B. 27.42
C. 0.2742
D. 274.2
Answer:
A. 2.742
21.
2 pts
Fill in the Blank
Write 3/20 as a decimal: _____
Answer:
0.15
22.
2 pts
Fill in the Blank
The digit in the hundredths place of 9.846 is _____
Answer:
4
23.
2 pts
Fill in the Blank
Write “seven and forty-two thousandths” as a decimal: _____
Answer:
7.042
24.
2 pts
Fill in the Blank
_____ is equivalent to 2/5 as a decimal.
Answer:
0.4
25.
2 pts
Fill in the Blank
Round 6.478 to the nearest tenth: _____
Answer:
6.5
26.
2 pts
Fill in the Blank
Write 18 tenths as a decimal: _____
Answer:
1.8
27.
2 pts
Fill in the Blank
Compare using <, >, or =: 0.32 _____ 0.302
Answer:
>
28.
2 pts
Fill in the Blank
Write 7/125 as a decimal: _____
Answer:
0.056
29.
2 pts
Fill in the Blank
Complete: 14.506 = 10 + 4 + _____ + 0.006
Answer:
0.5
30.
2 pts
Fill in the Blank
In 0.709, the number of thousandths is _____
Answer:
9
31.
5 pts
Word Problem
A notebook costs $2.45 and a pen costs $1.38. If you buy 3 notebooks and 2 pens, how much do you spend in total? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Cost of notebooks = 3 × 2.45 = 7.35
Step 2: Cost of pens = 2 × 1.38 = 2.76
Step 3: Total cost = 7.35 + 2.76 = 10.11
Answer: $10.11
32.
5 pts
Word Problem
You pay with a $20 bill for items costing $6.89 and $4.75. How much change should you receive? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Total cost = 6.89 + 4.75 = 11.64
Step 2: Change = 20.00 − 11.64 = 8.36
Answer: $8.36
33.
5 pts
Word Problem
On a training day, you run 2.6 km in the morning, 3.45 km at noon, and 1.2 km in the evening. What is the total distance you ran? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Add morning and noon distances: 2.6 + 3.45 = 6.05
Step 2: Add evening distance: 6.05 + 1.2 = 7.25
Answer: 7.25 km
34.
5 pts
Word Problem
A 3.6-liter jug of juice is poured equally into 8 bottles. How many liters of juice are in each bottle? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Divide total volume by number of bottles: 3.6 ÷ 8
Step 2: 3.6 ÷ 8 = 0.45
Answer: 0.45 liters per bottle
35.
5 pts
Word Problem
Apples cost $3.20 per kilogram. If you buy 0.85 kg, how much do you pay? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Multiply price per kg by mass: 3.20 × 0.85
Step 2: 3.20 × 0.85 = 2.72
Answer: $2.72
36.
5 pts
Word Problem
Four swimmers recorded the following times (in seconds): Liam—26.41, Ava—26.37, Mia—26.90, Noah—26.52. Who won the race? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Compare times: 26.41, 26.37, 26.90, 26.52
Step 2: The smallest time is 26.37
Answer: Ava
37.
5 pts
Word Problem
A 15.6-meter rope is cut into 4 equal pieces. What is the length of one piece? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Length per piece = 15.6 ÷ 4
Step 2: 15.6 ÷ 4 = 3.9
Answer: 3.9 meters
38.
5 pts
Word Problem
A race distance is 42.195 km. Round this distance to the nearest tenth of a kilometer. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Identify tenths (2) and hundredths (9) in 42.195
Step 2: Since hundredths is 9 (≥5), round tenths up to 2 → 42.2
Answer: 42.2 km
39.
5 pts
Word Problem
Find the value of 7.48 + 2.305 − 1.6. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Add 7.48 and 2.305: 7.48 + 2.305 = 9.785
Step 2: Subtract 1.6: 9.785 − 1.6 = 8.185
Answer: 8.185
40.
5 pts
Word Problem
Find the missing number: 35.8 + _____ = 49.06. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Subtract to find the missing addend: 49.06 − 35.8
Step 2: 49.06 − 35.80 = 13.26
Answer: 13.26
40
Total Questions
100
Total Points
~35
Minutes