• Mixed Maths Test Part - 2
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Mixed Maths Test Part - 2

Description: This test covers the mixture of questions from various chapters of ICSE maths grade 6. This will definitely brush up your skills before you appear for any class 6 grade ICSE maths exam.
Number of Questions: 20
Created by:
Tags: Exam Maths Class6th 6th Chapter5 factors multiples HCF LCM GCD GCM Mathematics ICSE ICSE Class 6th Test Class test Fators and Multiples Numbers Theory Number System System Chapter1 Chapter2 Chapter3 Least Common Multiple Algebra Factors and Multiples Ratio & Proportion Fractions Set Theory
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Which of the following represents the number “61425027” in words?

  1. Sixty crore fourteen lakh twenty five thousand twenty seven

  2. Sixteen crore fourteen lakh twenty five thousand twenty seven

  3. Six crore fourteen lakh twenty five thousand twenty seven

  4. Sixty one crore four lakh twenty five thousand twenty seven

Show answer
Correct Option: C
Explanation:

61425027 = 6, 14, 25, 027 = Six crore fourteen lakh twenty five thousand twenty seven

Which of the following is the L.C.M of the numbers 15 and 20?

  1. 120

  2. 45

  3. 60

  4. 40

  5. 35

Show answer
Correct Option: C
Explanation:

Multiples of 15 = {15, 30, 45, 60, 75, 90, 105, 120...} Multiples of 20 = {20, 40, 60, 80, 100, 120...} Common multiples of 15 & 20 = {60, 120...} Lowest Common Multiple (L.C.M) = smallest element of the set {60, 120...} = 60

Which of the following is the numeral of “two lakh two hundred five”?

  1. 200000205

  2. 200205

  3. 220500

  4. 205002

Show answer
Correct Option: B
Explanation:

2 x 100000 + 0 x 10000 + 0 x 1000 + 2 x 100 + 0 x 10 + 1 x 5 = 200000 + 0 + 0 + 200 + 0 + 5 = 200205

Which of the following is the L.C.M of 3 decimeter and 3 decimeter 5 centimeter?

  1. 350

  2. 300

  3. 200

  4. 210

  5. 75

Show answer
Correct Option: D
Explanation:

3 decimeter = 30 centimeter; 3 decimeter 5 centimeter = 35 centimeter Hence, L.C.M of 30 and 35 = 210

Which of the following is the difference between 2's place values in 42, 582?

  1. 2008

  2. 1998

  3. 1898

  4. 1889

Show answer
Correct Option: B
Explanation:

Place value of “2” in units place = 2 x 1 = 2 Place value of “2” in thousand's place = 2 x 1000 = 2000 Therefore, difference = 2000 - 2 = 1998

Which of the following is the least number that is exactly divisible by numbers 63, 21 and 45, when decremented by 1?

  1. 315

  2. 314

  3. 63

  4. 42

  5. 316

Show answer
Correct Option: E
Explanation:

L.C.M of 63, 21 & 45 = 3 x 3 x 7 x 5 = 315 The number required will be 315 + 1 = 316

Ravi borrowed a sum of money from the bank at an interest of 10.5% per annum and for 2.5 years. If he paid an interest of Rs.1863.75, which of the following could be the total sum borrowed by Ravi?

  1. Rs. 5140

  2. Rs. 7600

  3. Rs. 7100

  4. Rs. 6330

  5. Rs. 7231

Show answer
Correct Option: C
Explanation:

Rate of interest = 10.5 = 21/2% p.a. Simple Interest (S.I) = Rs.1863.75 T = 2.5 = 5/2 years Principal (P) =  (S.I x 100) / (R x T) = (1863.75 x 100 x 2 x 2) / (21 x 5) = Rs. 7100

Which of the following is the least number that leaves a remainder value of “2” in each of the cases when divided by 28, 21 and 24?

  1. 180

  2. 280

  3. 170

  4. 150

Show answer
Correct Option: C
Explanation:

L.C.M of 28, 21 and 24 = 2 x 2 x 2 x 7 x 3 = 168 Hence, the required number will be 168 + 2 = 170

If the product of two numbers is 1320 and L.C.M is 40, which of the following is its H.C.F?

  1. 40

  2. 33

  3. 43

  4. 32

  5. 20

Show answer
Correct Option: B
Explanation:

H.C.F x L.C.M = Product of two numbers H.C.F = 1320/40 = 33

Four trains pass nearby metro stations at intervals of 3, 6,12 and 14 minutes. If they all meet at 10:00 am on a station, at what time will they meet again in one of the metro stations after 10:00 am?

  1. 10:30 am

  2. 11:24 pm

  3. 11:24 am

  4. 11:30 am

  5. 11:30 pm

Show answer
Correct Option: C
Explanation:

The trains will meet again after an interval, which is a lowest common multiple of 3, 6, 12 & 14. Therefore, L.C.M of 3, 6, 12 & 14 = 2 x 2 x 7 x 3 = 84 84 minutes = 1 hour & 24 minutes Hence, the trains will meet again at 10 + 1.24 = 11:24 am

Which of the following denotes a proper fraction?

  1. 801/456

  2. 456/122

  3. 274/513

  4. 345/132

  5. 123/111

Show answer
Correct Option: C
Explanation:

A proper fraction will always have its numerator less than its denominator. Here, 274(numerator) is less than 513(denominator).

Which of the following denotes an improper fraction?

  1. 121/121

  2. 324/329

  3. 541/642

  4. 788/887

  5. 435/439

Show answer
Correct Option: A
Explanation:

An improper fraction will always have numerator greater than or equal to denominator. Here 121(numerator) = 121(denominator) Hence, it is an improper fraction.

Which of the following represents the mixed fraction of 43/6?

  1. $7\frac{1}{7}$

  2. $7\frac{2}{6}$

  3. $6\frac{1}{6}$

  4. $7\frac{2}{5}$

  5. $7\frac{1}{6}$

Show answer
Correct Option: E
Explanation:

Mixed fraction of 43/6 = 7 + 1/6 = $7\frac{1}{6}$

Which of the following represents the equivalent fraction of 1/3?

  1. 2/9

  2. 4/15

  3. 12/36

  4. 6/21

  5. 7/24

Show answer
Correct Option: C
Explanation:

If two or more fractions will have the same value, then it is called as an equivalent fraction. The value of the fraction does not change, if the numerator and denominator are multiplied by a same natural number. Here 12/36 = 1/3  ..........[After dividing by 12 on both numerator and denominator]

If the score of Rani in English is 15 more than two third of her score in Hindi and 'C' is her score in Hindi, which of the following is her score in English?

  1. (2C/3) + 15

  2. 2C + 15

  3. 3C + 15/2

  4. 3C/2 - 15

  5. (3C/2) + 15

Show answer
Correct Option: A
Explanation:

Score in Hindi = C Two third of her score in Hindi = (2/3 )x C = 2C/3 Hence, her score in English = (2C/3) + 15

By which of the following is the value 6x2 + 3 - 5x smaller than 8 + 3x + 9x2?

  1. 5 + 4x + 6x2

  2. 5 + 8x + 3x2

  3. 3 + 8x + 9x2

  4. 5 + 4x + 7x2

  5. 3 + 3x + 4x2

Show answer
Correct Option: B
Explanation:

From the given question, it is very clear that we have to find the difference of the two equations. Therefore, 8 + 3x + 9x2 - (6x2 + 3 - 5x) = 5 + 8x + 3x2

If the area of a rectangle is 12x3y4 and its width is 3x2y, which of the following is its length in terms of x and y?

  1. 4xy3

  2. 8xy3

  3. 4x3y

  4. 8x3y

  5. 12x3y

Show answer
Correct Option: A
Explanation:

Area of a rectangle = Length x Width Length = Area / Width = 12x3y4 / 3x2y = 4xy3

If A = {Multiple of 4 between 1 and 17} and B = {Even natural number less than 12}, which of the following is the intersection of two sets A and B?

  1. {4, 8, 12, 16}

  2. {8, 4}

  3. {2, 4}

  4. {2, 4, 6, 8}

  5. {8, 4, 12, 16}

Show answer
Correct Option: B
Explanation:

As per the given information, A = {4, 8, 12, 16} and B = {2, 4, 6, 8, 10} Hence, the intersection of two sets will be {4, 8}.

If A = {Multiple of 3 between 1 and 20} and B = {Odd natural number less than 14}, which of the following is the union of two sets A and B?

  1. {1, 3, 5, 6, 6, 9, 11, 12, 13, 15, 18}

  2. {1, 3, 5, 6, 7, 9, 11, 12, 13, 15, 9}

  3. {1, 3, 5, 6, 7, 9, 11, 12, 13, 15, 18}

  4. {1, 3, 5, 6, 7, 9, 1, 12, 13, 15, 18}

  5. {1, 3, 5, 6, 9, 9, 11, 12, 13, 15, 18}

Show answer
Correct Option: C
Explanation:

As per the given information: A = {3, 6, 9, 12, 15, 18} and B = {1, 3, 5, 7, 9, 11, 13} Hence, the union of sets A and B is {1, 3, 5, 6, 7, 9, 11, 12, 13, 15, 18}.

Which of the following is the least number that is exactly divisible by numbers 45, 21 and 63, when incremented by 3?

  1. 312

  2. 313

  3. 310

  4. 90

  5. 63

Show answer
Correct Option: A
Explanation:

L.C.M of 45, 21 and 63 = 3 x 5 x 7 x 3 = 315 Therefore, the number required will be 315 - 3 = 312

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