Generated May 31, 2026 at 4:18 PM from combined_math_practice_sheets.pdf
Mathematics
Grade 6 Mathematics Comprehensive Practice Worksheet
Arithmetic and Problem Solving
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
In the number 623541, the place value of 6 is always greater than that of 5.
True
False
Answer:
True
2.
1 pt
True / False
The sum of an odd number and an even number is always an odd number.
True
False
Answer:
True
3.
1 pt
True / False
A number formed by rearranging the digits 6, 0, 8, 4, 1 can begin with 0 to be considered a six-digit number.
True
False
Answer:
False
4.
1 pt
True / False
Rounding off numbers to the nearest hundred can sometimes significantly change the result of an arithmetic operation.
True
False
Answer:
True
5.
1 pt
True / False
Prime factorisation is used to determine the LCM of 210 and 186.
True
False
Answer:
True
6.
1 pt
True / False
The additive identity for whole numbers is 1.
True
False
Answer:
False
7.
1 pt
True / False
To find the difference between the place values of 6 and 5 in 623541, you simply subtract 5 from 6.
True
False
Answer:
False
8.
1 pt
True / False
The sum of rounded numbers is always equal to the rounded sum of the original numbers.
True
False
Answer:
False
9.
1 pt
True / False
Estimating a product by rounding each factor usually leads to a close approximation of the actual product.
True
False
Answer:
True
10.
1 pt
True / False
The prime numbers between 30 and 50 include 37 and 41.
True
False
Answer:
True
11.
2 pts
Multiple Choice
Which of the following is the additive identity for whole numbers?
A. 0
B. 1
C. 6
D. None
Answer:
A. 0
12.
2 pts
Multiple Choice
How many 4-digit numbers can be formed using the digits 3, 4, 9, and 0 without repeating any digit?
A. 6
B. 12
C. 18
D. 24
Answer:
C. 18
13.
2 pts
Multiple Choice
In Roman numerals, what number completes the equation LXX + _____ = LXXVI?
A. VI
B. V
C. IV
D. VII
Answer:
A. VI
14.
2 pts
Multiple Choice
What is the approximate product of 958 and 387 when each factor is rounded to the nearest hundred?
A. 380,000
B. 400,000
C. 420,000
D. 450,000
Answer:
B. 400,000
15.
2 pts
Multiple Choice
Which method is used to find the LCM of 210 and 186 as shown in the worksheet?
A. Addition
B. Prime Factorisation
C. Subtraction
D. Estimation
Answer:
B. Prime Factorisation
16.
2 pts
Multiple Choice
If a country's population was 906450600 in 1990 and increased by 9889700 the next year, which option best describes the population in 1991?
A. The original population
B. The increased amount
C. The population of 1991
D. The quotient of the two numbers
Answer:
C. The population of 1991
17.
2 pts
Multiple Choice
Which expression correctly approximates 2838 ÷ 125 by rounding to the nearest hundreds?
A. 2800 ÷ 100
B. 2900 ÷ 100
C. 2800 ÷ 130
D. 3000 ÷ 100
Answer:
A. 2800 ÷ 100
18.
2 pts
Multiple Choice
Which of the following pairs are examples of twin primes as suggested by the worksheet?
A. (3, 5)
B. (11, 13)
C. (17, 19)
D. All of the above
Answer:
D. All of the above
19.
2 pts
Multiple Choice
What is the correct interpretation of 'successor' in the context of finding the product with 147 and 389?
A. 148 × 389
B. 147 × 390
C. 148 × 390
D. 147 × 389
Answer:
A. 148 × 389
20.
2 pts
Multiple Choice
Which method is used to find the HCF of 420 and 430 in the worksheet?
A. Division Algorithm
B. Distributive Property
C. Prime Factorisation
D. Estimation
Answer:
C. Prime Factorisation
21.
2 pts
Fill in the Blank
_____ is called additive identity for whole number.
Answer:
0
22.
2 pts
Fill in the Blank
The sum of an odd number and an even number is always a(n) _____ number.
Answer:
odd
23.
2 pts
Fill in the Blank
In the number 623541, the difference between the place values of 6 and 5 is _____.
Answer:
599500
24.
2 pts
Fill in the Blank
The estimated quotient of 2838 divided by 125 by rounding off to the nearest hundreds is _____.
Answer:
28
25.
2 pts
Fill in the Blank
The rounded product of 958 and 387 by rounding each to the nearest 100's is _____.
Answer:
400000
26.
2 pts
Fill in the Blank
The number of 4-digit numbers that can be formed with digits 3, 4, 9, and 0 without repeating any digit is _____.
Answer:
18
27.
2 pts
Fill in the Blank
The sum of 1086, 2117, 3543, and 1284 is _____.
Answer:
8030
28.
2 pts
Fill in the Blank
The population of a country in 1991, after an increase of 9889700 from 906450600 in 1990, is _____.
Answer:
916340300
29.
2 pts
Fill in the Blank
LXX + _____ = LXXVI
Answer:
VI
30.
2 pts
Fill in the Blank
LIX = _____ + IX
Answer:
L
31.
5 pts
Word Problem
Find the difference between the place values of 6 and 5 in the number 623541. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Place value of 6 = 600000, place value of 5 = 500
Step 2: Difference = 600000 - 500
Answer: 599500
32.
5 pts
Word Problem
Madhu had $9031 and bought a TV, leaving her with $1356. How much did she pay for the TV? Show your working.
Working:
Answer:
Worked Solution:
Step 1: Subtract the remaining amount from the initial amount: 9031 - 1356
Step 2: Price paid = 7675
Answer: 7675
33.
5 pts
Word Problem
A school management spent $26,756 on teachers' pay, $325,378 on building construction, $5,780 on games, and $8,235 on other work. Find the total amount spent. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Add teachers' pay and building construction: 26756 + 325378
Step 2: Add games cost: Result + 5780
Step 3: Add other work cost: Result + 8235
Answer: 366149
34.
5 pts
Word Problem
Find the sum of the predecessor of 97801 and 90526. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Predecessor of 97801 is 97800
Step 2: Sum = 97800 + 90526
Answer: 188326
35.
5 pts
Word Problem
Find the product of the successor of 147 and 389. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Successor of 147 is 148
Step 2: Product = 148 × 389
Answer: 57572
36.
5 pts
Word Problem
Solve using the distributive property: 632 × 1001. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Express 1001 as 1000 + 1
Step 2: Calculate 632×1000 + 632×1
Answer: 632632
37.
5 pts
Word Problem
Simplify the expression: 34 - [32 - {31 - (18 - 15 - 1)}]. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Compute inner parentheses: 18 - 15 - 1 = 2
Step 2: Compute {31 - 2} = 29
Step 3: Compute [32 - 29] = 3
Step 4: Compute 34 - 3
Answer: 31
38.
5 pts
Word Problem
Find three different whole numbers whose sum and product are equal. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Consider numbers 1, 2, and 3
Step 2: Sum = 1 + 2 + 3 = 6 and Product = 1 × 2 × 3 = 6
Answer: 1, 2, 3
39.
5 pts
Word Problem
Find the HCF of 420 and 430 by prime factorisation. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Prime factors of 420 are 2^2, 3, 5, 7 and of 430 are 2, 5, 43
Step 2: Common factors: 2 and 5
Answer: 10
40.
5 pts
Word Problem
Find the LCM of 210 and 186 by prime factorisation. Show your working.
Working:
Answer:
Worked Solution:
Step 1: Prime factors of 210: 2, 3, 5, 7
Step 2: Prime factors of 186: 2, 3, 31
Step 3: LCM = 2 × 3 × 5 × 7 × 31
Answer: 6510
40
Total Questions
100
Total Points
~35
Minutes