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Class 6 Number Play worksheet

CBSE Mathematics. Digit sums, palindromes, Kaprekar and Collatz, supercells, estimating. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.

Open a printable sample sheetCheat sheet: formulas and key points

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

  1. 1.

    Which of these numbers has a digit sum of 13?

    1. 562
    2. 281
    3. 942
    4. 924
    Answer

    (a) 562

    5 + 6 + 2 = 13

  2. 2.

    Which of these numbers is a palindrome?

    1. 8389
    2. 8374
    3. 8338
    4. 8399
    Answer

    (c) 8338

    8338 reads the same both ways

  3. 3.

    In the Collatz sequence, which number comes after 168?

    1. 169
    2. 505
    3. 336
    4. 84
    Answer

    (d) 84

    168 is even: 168 ÷ 2 = 84

Section B · short answer

  1. 4.

    Reverse the digits of 84 and add, again and again, until you get a palindrome. Which palindrome do you reach?

    Answer

    363 after 2 steps

    84 + 48 = 132; 132 + 231 = 363

  2. 5.

    Write the Collatz sequence that starts at 170, until you reach 1.

    Answer

    170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1

    halve an even number; 3 times an odd number, plus 1

Section C · long answer

  1. 6.

    A school has 509 students and each gives Rs 34 for a trip. Estimate the total, then find the exact amount.

    Answer

    about Rs 15,000; exactly Rs 17,306

    500 × 30 = 15000; 509 × 34 = 17306

Fresh sheets for your child

In the app, every Number Play sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

Coming soon for Android and iPhone.

More Class 6 Mathematics