StudentAayush Nayak
Class6-B
GradeGrade 6
SchoolYBIS
1.
True / False
(1 pts)
In the number 623541, the place value of 6 is always greater than that of 5.
2.
True / False
(1 pts)
The sum of an odd number and an even number is always an odd number.
3.
True / False
(1 pts)
A number formed by rearranging the digits 6, 0, 8, 4, 1 can begin with 0 to be considered a six-digit number.
4.
True / False
(1 pts)
Rounding off numbers to the nearest hundred can sometimes significantly change the result of an arithmetic operation.
5.
True / False
(1 pts)
Prime factorisation is used to determine the LCM of 210 and 186.
6.
True / False
(1 pts)
The additive identity for whole numbers is 1.
7.
True / False
(1 pts)
To find the difference between the place values of 6 and 5 in 623541, you simply subtract 5 from 6.
8.
True / False
(1 pts)
The sum of rounded numbers is always equal to the rounded sum of the original numbers.
9.
True / False
(1 pts)
Estimating a product by rounding each factor usually leads to a close approximation of the actual product.
10.
True / False
(1 pts)
The prime numbers between 30 and 50 include 37 and 41.
11.
Multiple Choice
(2 pts)
Which of the following is the additive identity for whole numbers?
12.
Multiple Choice
(2 pts)
How many 4-digit numbers can be formed using the digits 3, 4, 9, and 0 without repeating any digit?
13.
Multiple Choice
(2 pts)
In Roman numerals, what number completes the equation LXX + _____ = LXXVI?
14.
Multiple Choice
(2 pts)
What is the approximate product of 958 and 387 when each factor is rounded to the nearest hundred?
15.
Multiple Choice
(2 pts)
Which method is used to find the LCM of 210 and 186 as shown in the worksheet?
✓ Answer
B. Prime Factorisation
16.
Multiple Choice
(2 pts)
If a country's population was 906450600 in 1990 and increased by 9889700 the next year, which option best describes the population in 1991?
✓ Answer
C. The population of 1991
17.
Multiple Choice
(2 pts)
Which expression correctly approximates 2838 ÷ 125 by rounding to the nearest hundreds?
18.
Multiple Choice
(2 pts)
Which of the following pairs are examples of twin primes as suggested by the worksheet?
✓ Answer
D. All of the above
19.
Multiple Choice
(2 pts)
What is the correct interpretation of 'successor' in the context of finding the product with 147 and 389?
20.
Multiple Choice
(2 pts)
Which method is used to find the HCF of 420 and 430 in the worksheet?
✓ Answer
C. Prime Factorisation
21.
Fill in the Blank
(2 pts)
_____ is called additive identity for whole number.
22.
Fill in the Blank
(2 pts)
The sum of an odd number and an even number is always a(n) _____ number.
23.
Fill in the Blank
(2 pts)
In the number 623541, the difference between the place values of 6 and 5 is _____.
24.
Fill in the Blank
(2 pts)
The estimated quotient of 2838 divided by 125 by rounding off to the nearest hundreds is _____.
25.
Fill in the Blank
(2 pts)
The rounded product of 958 and 387 by rounding each to the nearest 100's is _____.
26.
Fill in the Blank
(2 pts)
The number of 4-digit numbers that can be formed with digits 3, 4, 9, and 0 without repeating any digit is _____.
27.
Fill in the Blank
(2 pts)
The sum of 1086, 2117, 3543, and 1284 is _____.
28.
Fill in the Blank
(2 pts)
The population of a country in 1991, after an increase of 9889700 from 906450600 in 1990, is _____.
29.
Fill in the Blank
(2 pts)
LXX + _____ = LXXVI
30.
Fill in the Blank
(2 pts)
LIX = _____ + IX
31.
Word Problem
(5 pts)
Find the difference between the place values of 6 and 5 in the number 623541. Show your working.
✎ Worked Solution
Step 1: Place value of 6 = 600000, place value of 5 = 500
Step 2: Difference = 600000 - 500
Answer: 599500
32.
Word Problem
(5 pts)
Madhu had $9031 and bought a TV, leaving her with $1356. How much did she pay for the TV? Show your working.
✎ Worked Solution
Step 1: Subtract the remaining amount from the initial amount: 9031 - 1356
Step 2: Price paid = 7675
Answer: 7675
33.
Word Problem
(5 pts)
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.
✎ 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.
Word Problem
(5 pts)
Find the sum of the predecessor of 97801 and 90526. Show your working.
✎ Worked Solution
Step 1: Predecessor of 97801 is 97800
Step 2: Sum = 97800 + 90526
Answer: 188326
35.
Word Problem
(5 pts)
Find the product of the successor of 147 and 389. Show your working.
✎ Worked Solution
Step 1: Successor of 147 is 148
Step 2: Product = 148 × 389
Answer: 57572
36.
Word Problem
(5 pts)
Solve using the distributive property: 632 × 1001. Show your working.
✎ Worked Solution
Step 1: Express 1001 as 1000 + 1
Step 2: Calculate 632×1000 + 632×1
Answer: 632632
37.
Word Problem
(5 pts)
Simplify the expression: 34 - [32 - {31 - (18 - 15 - 1)}]. Show your working.
✎ 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.
Word Problem
(5 pts)
Find three different whole numbers whose sum and product are equal. Show your working.
✎ 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.
Word Problem
(5 pts)
Find the HCF of 420 and 430 by prime factorisation. Show your working.
✎ 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.
Word Problem
(5 pts)
Find the LCM of 210 and 186 by prime factorisation. Show your working.
✎ 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