• Mathematics Mixed Test (Class - VI)
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Mathematics Mixed Test (Class - VI)

Description: This is a Mixed test for class -VI students
Number of Questions: 20
Created by:
Tags: Number System Playing with Numbers Whole Numbers Knowing Numbers Breathing in Other Animals and Plants Respiration and its Types Writing Large Numbers in Words Place Value of Large Numbers Distributive Property of Multiplication Over Addition Word Problems Rounding-off Rule Closure Property of Whole Numbers Under Multiplication and Division
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Which of the following numbers is correctly written in words?

  1. 20,36,285 - Two lakh thirty six thousand two hundred and eighty five

  2. 32,652 - Thirty two thousand six hundred and fifty two

  3. 2,54,36,285 - Two crore fifty four lakh thirty six thousand and eighty five

  4. 2,60,002 - Twenty six thousand and two

  5. None of the above

Show answer
Correct Option: B
Explanation:

It is correct since the number is correctly written in words.

Which of the following options is correctly arranged in ascending order?

  1. 100102, 101002, 110012, 101102

  2. 100102, 101002, 101102, 110012

  3. 100102, 101102, 101002, 110012

  4. 101002, 100102, 101102, 110012

  5. None of the above

Show answer
Correct Option: B
Explanation:

Correct option since the correct order is: 100102 < 101002 < 101102 < 110012.

Which of the following options contains all the three-digit numbers that can be formed by using the digits 0, 3 and 9 only once?

  1. 039, 309, 093, 903, 390, 930

  2. 309, 093, 903, 390, 930

  3. 309, 903, 390, 930

  4. 039, 309, 903, 390, 930

  5. None of the above

Show answer
Correct Option: C
Explanation:

Since it contains all the possible three-digit numbers, so this option is correct.

If K is a number, then the difference of its successor and predecessor will be

  1. 0

  2. 2

  3. 4

  4. 5

  5. None of the above

Show answer
Correct Option: B
Explanation:

The given number is K. Therefore, its successor = K + 1 Its predecessor = K - 1 Difference = (K + 1 ) - (K - 1) = K + 1 - K + 1

Which of the following options has been expanded correctly?

  1. 51963 = (5 x 10000) + (1 x 1000) + (9 x 10) + (3 x 1)

  2. 4128 = (4 x 1000) + (1 x 100) + 28

  3. 524782 = (5 x 100000) + (2 x 10000) + (4 x 1000) + (7 x 100) + (8 x 10) + (2 x 1)

  4. 45981 = (45 x 1000) + (98 x 1) + (1 x 1)

  5. None of the above

Show answer
Correct Option: C
Explanation:

Correct Answer: 524782 = (5 x 100000) + (2 x 10000) + (4 x 1000) + (7 x 100) + (8 x 10) + (2 x 1)

Consider the given two statements S1 and S2 and choose the correct option.

S1: In the number 456238, the place value of the digit 5 is 50,000. S2: In the number 5624389, the face value of the digit 5 is 5.

  1. S1 is true and S2 is false.

  2. S1 is false and S2 is true.

  3. Both S1 and S2 are false.

  4. Both S1 and S2 are true.

  5. None of the above

Show answer
Correct Option: D
Explanation:

S1: In the number 456238, the place value of the digit 5 is 50,000. Place value of 5 = 5 x 10000 = 50,000 (True)   S2: In the number 5624389, the face value of the digit 5 is 5. Face value of a number is the number itself. (True)

The population of a city is 10236. 50% of the total population of the city reads a newspaper. Out of the people who read a newspaper, 2587 are females and the rest are males. The females read The New York Times and the males read The Hindu. If The Hindu costs Rs. 8, then what is the total amount that comes from The Hindu in one day?

  1. Rs. 20248

  2. Rs. 61192

  3. Rs. 2024

  4. Rs. 6119

  5. None of the above

Show answer
Correct Option: A
Explanation:

Total number of persons who read a newspaper = 5118 Number of males who read a newspaper = 5118 - 2587 = 2531 Therefore, the total amount that comes from The Hindu in one day = Rs. (2531 x 8) = Rs. 20248

There are 223 students in a school. 3 boys left the school at the end of August and 2 boys left the school at the end of November. If the fee of each student is Rs. 100 per month, then what is the total fee collected by the school in that year?

  1. Rs. 22300

  2. Rs. 267600

  3. Rs. 266400

  4. Rs. 266200

  5. None of the above

Show answer
Correct Option: D
Explanation:

Total fee collected by the school = Rs. {(223 X 8 X 100) + (220 X 3 X 100) + (218 X 1 X 100)} = Rs. 266200

Suppose k = 12364 and m = 14589. If k is rounded off to the nearest thousand and m is rounded off to the nearest ten, then which of the following options is/are correct?

  1. k + m = 26953

  2. m - k = 2590

  3. k + m = 26590

  4. Both 2 and 3

  5. None of the above

Show answer
Correct Option: D
Explanation:

Rounded off values of m and k are 14590 and 12000, respectively. So, m - k = 2590 m + k = 26590 Since options 2 and 3 both are correct, so option 4 is correct.

Which of the following options is/are incorrect?

  1. 25678 rounded off to the nearest 10 is 25680.

  2. 625687 rounded off to the nearest 1000 is 626000.

  3. 215685 rounded off to the nearest 10 is 215680.

  4. 254872 rounded off to the nearest 10000 is 250000.

  5. All of the above

Show answer
Correct Option: C
Explanation:

215685 rounded off to the nearest 10 is 215690.

Consider four natural numbers a, b, c and d. Which of the following options is/are true for the expression given below?

(a + b) + (c + d) = (a + b + c) + d = a + b + (c + d)

  1. It does not follow closure property.

  2. It follows commutative property.

  3. It follows distributive property.

  4. It follows associative property.

  5. All of the above

Show answer
Correct Option: D
Explanation:

Yes, the expression follows associative property and hence, the option is correct.

After rounding off to the nearest 1000 before the mathematical operation, which of the following options is correct?

  1. 12365 + 23658 = 36023

  2. 12365 + 23658 = 36000

  3. 23658 - 12365 = 11293

  4. 23658 - 12365 = 11290

  5. None of the above

Show answer
Correct Option: B
Explanation:

12365 rounded off to the nearest 1000 = 12000 23658 rounded off to the nearest 1000 = 24000 Therefore, sum = 36000

Consider the given two statements and choose the correct option.

S1: Multiplication of two whole numbers follows closure property. S2: Subtraction of two natural numbers always follows closure property.

  1. S1 is true and S2 is false.

  2. S1 is false and S2 is true.

  3. Both S1 and S2 are false.

  4. Both S1 and S2 are true.

  5. None of the above

Show answer
Correct Option: A
Explanation:

This is the correct choice. S2 is false as subtraction of two natural numbers does not always follow closure property. We know that both 4 and 5 are natural numbers, but their result of subtraction is - 1 (4 - 5), which is a negative integer, and not a natural number.

The statement, 3p is 3 less than 5 times q, when written in algebraic form, will be

  1. p = 5q - 3

  2. p = 3q - 5

  3. 3p = 5q - 3

  4. 3p = 3q - 5

  5. None of the above

Show answer
Correct Option: C
Explanation:

This is correct.

The algebraic expression for the statement 'y is 3 more than 6 times the sum of k and 6' will be

  1. y = 3 + 6 (k + 3)

  2. y = 6 + 6 (k + 6)

  3. y = 3 + 6 (k + 6)

  4. y = 6 + 3(k + 6)

  5. None of the above

Show answer
Correct Option: C
Explanation:

Correct Answer: y = 3 + 6 (k + 6)

Consider the algebraic expression y - 2 = 2k + (a - 3). What will be the value of y if k = 2 and a = 5?

  1. 4

  2. 8

  3. 6

  4. 2

  5. None of the above

Show answer
Correct Option: B
Explanation:

y - 2 = 2k + (a - 3) => y - 2 = 2 X 2 + (5 - 3) => y - 2 = 4 + 2 => y = 6 + 2 = 8

Given below are two statements S1 and S2. Read the statements carefully and choose the correct option.

S1: The sum of the smallest whole number and its predecessor is -1. S2: Subtraction of two whole numbers always follows closure property.

  1. S1 is true and S2 is false.

  2. S1 is false and S2 is true.

  3. Both S1 and S2 are false.

  4. Both S1 and S2 are true.

  5. None of the above

Show answer
Correct Option: A
Explanation:

This option is correct since subtraction of two whole numbers does not always follow closure property.

The simplest ratio of 1 km and 100 m will be

  1. 1 : 100

  2. 1000 : 100

  3. 10 : 1

  4. 1 : 10

  5. None of the above

Show answer
Correct Option: C
Explanation:

This option is correct as 1 km = 1000 m. So, ratio = 1000 : 100 = 10 : 1

A sum of money is to be divided among A, B and C in the ratio 3 : 2 : 1. If the total money to be divided is Rs. 3600, then how much amount will C get?

  1. Rs. 600

  2. Rs. 1200

  3. Rs. 1800

  4. Rs. 2400

  5. None of the above

Show answer
Correct Option: A
Explanation:

Let A get Rs. 3x, B get Rs. 2x and C get Rs. x. Therefore, (3x + 2x + x) = Rs. 3600 6x = Rs. 3600 x = 600 Therefore, C will get Rs. x = Rs. 600. B will get Rs. 2x = Rs. 1200. A will get Rs. 3x = Rs. 1800.

Let k be the solution of the equation 2k + 4 = 8 and l be the solution of the equation 3I + 9 = 3 (9 - 4). Which of the following options is/are not correct?

  1. k + I = 4

  2. k / l = 1

  3. k - l = 0

  4. k x l = 2

  5. All of the above

Show answer
Correct Option: D
Explanation:

2k + 4 = 8 => 2k = 4 => k = 2 --------- (1) 3I + 9 = 3 (9 - 4) => 3I + 9 = 3 x 5 => 3I = 15 - 9 => 3I = 6 => I = 2 ------------- (2)

Therefore, k x l = 4 Hence, the option is incorrect. Therefore, it is the correct answer.

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