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ICSE Class 8 Playing with Numbers — practice questions

Explore 35 free Playing with Numbers questions in ICSE Class 8 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Playing with Numbers questions and exercises with answers

Showing questions 1–30 of 35.

A two-digit number has tens digit a and units digit b. Its value?Read the answer and worked solution →Hundreds, tens and units digits are a, b, c. The three-digit number is?Read the answer and worked solution →Which exact range permits hundreds digit a in a three-digit number?Read the answer and worked solution →Only the hundreds digit changes from 3 to 5. The number rises by?Read the answer and worked solution →Nonzero digits a,b form two-digit numerals ab and ba. Their sum?Read the answer and worked solution →Tens digit a, units digit b, with a > b > 0. Original minus reverse?Read the answer and worked solution →Digits a,b,c form three-digit abc and cba, with a > c. Difference abc-cba?Read the answer and worked solution →A two-digit number has digit sum 9; tens is twice units. Find it.Read the answer and worked solution →A two-digit number has digit sum 9; its reverse is 27 greater. Number?Read the answer and worked solution →Three digits sum to 12. Hundreds = tens+1; units = tens-1. Number?Read the answer and worked solution →AA is a two-digit numeral with digit A ≠ 0. What is AA ÷ A?Read the answer and worked solution →Triple two-digit numeral 1A to get two-digit A2. Which digit A works?Read the answer and worked solution →Subtract numeral 2A from two-digit A3: result 28. Find digit A.Read the answer and worked solution →AA and AB are two-digit numerals. How many digit assignments satisfy AA+B=AB?Read the answer and worked solution →Why does N=100a+10b+c have the same parity as digit c?Read the answer and worked solution →For N=100a+10b+c, N-(a+b+c) equals?Read the answer and worked solution →For decimal digits a,b,c, 3 divides 100a+10b+c exactly when it divides?Read the answer and worked solution →To test 100a+10b+c for divisibility by 5, examine which quantity?Read the answer and worked solution →In three-digit N=100a+10b+c, which condition ensures 10 divides N?Read the answer and worked solution →Which number is divisible by 5 but not by 10?Read the answer and worked solution →A three-digit number has digit sum 12. Its divisibility is?Read the answer and worked solution →In three-digit numeral 45d, which digit values d give divisibility by 9?Read the answer and worked solution →How many digits d make the three-digit numeral 2d4 divisible by 3?Read the answer and worked solution →Numeral 23d must be divisible by 2 and by 5. Its units digit d?Read the answer and worked solution →A leading digit d completes d18 to a three-digit multiple of 9. Find d.Read the answer and worked solution →Every three-digit permutation of digits 2,3,7 is divisible by?Read the answer and worked solution →With digits 1,2,3 used once, how many even three-digit numerals can be formed?Read the answer and worked solution →Arrange 0,1,2 once each. Count valid three-digit multiples of 3.Read the answer and worked solution →In three-digit palindrome A3A, 9 divides the value. Find digit A.Read the answer and worked solution →How many three-digit palindromes are divisible by 10?Read the answer and worked solution →

Worked practice questions

A two-digit number has tens digit a and units digit b. Its value?

  1. a × b
  2. 10a + b
  3. 10(a + b)
  4. a + 10b
Show answer and solution

Correct answer: B. 10a + b

The tens digit contributes ten times its value and the units digit contributes its own value.

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Hundreds, tens and units digits are a, b, c. The three-digit number is?

  1. 100(a + b + c)
  2. 10a + 10b + c
  3. 100a + 10b + c
  4. 100c + 10b + a
Show answer and solution

Correct answer: C. 100a + 10b + c

The successive place values are one hundred, ten and one.

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Which exact range permits hundreds digit a in a three-digit number?

  1. 1 ≤ a ≤ 8
  2. 0 ≤ a ≤ 8
  3. 1 ≤ a ≤ 9
  4. 0 ≤ a ≤ 9
Show answer and solution

Correct answer: C. 1 ≤ a ≤ 9

The hundreds digit must be nonzero for the numeral to have three digits.

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How to practise

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