Question 12 Marks
Make the Collatz sequence beginning with 17.
Answer
View full question & answer→17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1
Questions
2 Marks Questions
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Test yourself on this topic
30 questions · timed · auto-graded
Question 22 Marks
Construct the Collatz sequence starting with 22.
Answer
View full question & answer→22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1
Question 32 Marks
How many rounds (iterations) does your year of birth take to reach the Kaprekar constant?
Answer
View full question & answer→self
Question 42 Marks
Apply Kaprekar's routine on a two-digit number. What number will start repeating?
Answer
View full question & answer→9
Question 52 Marks
What is the sum of the smallest and the largest 6-digit palindromes?
Answer
View full question & answer→11,00,000
Question 62 Marks
Write the smallest and the largest 3-digit palindromes.
Answer
View full question & answer→101,999
Question 72 Marks
Write all two digit palindromic numbers.
Answer
View full question & answer→11, 22, 33, 44, 55, 66, 77, 88, 99
Question 82 Marks
Place the numbers $1500,2180,2754,3600,9590$ in their appropriate positions on the following number line:
View full question & answer→Question 92 Marks
Mark the supercells in the following table:
Question 102 Marks
Mark the supercells in the following tables:
(i)
(ii)
(i)
(ii)
Question 112 Marks
How big a number can you form with the digits $1,2,3,4,5,6,7,8$ and 9 having the digit sum 14 ?
Answer
View full question & answer→11111111111111
Question 122 Marks
Among the numbers 1-1000, how many times will the digit ' 7 ' occur?
Answer
View full question & answer→271
Question 132 Marks
Among the numbers from 1 to 100 how many times digit ' 0 ' appears?
Answer
View full question & answer→11
Question 142 Marks
Among the numbers from 1 to 100 how many times digit ' 5 ' appears?
Answer
View full question & answer→19
Question 152 Marks
Find out the digit sums of all the numbers from 40 to 70 .
Answer
View full question & answer→self
Question 162 Marks
What is the largest 5 -digit number with non-zero digits whose digit sum is 14 ?
Answer
View full question & answer→92111
Question 172 Marks
Do you have two 5-digit numbers whose difference is 91,500 ?
Answer
View full question & answer→No
Question 182 Marks
Write two 5-digit numbers whose difference is a 3 digit number.
Answer
View full question & answer→12,345; 12,111
Question 192 Marks
Write a 5-digit number and a 4-digit number such that their difference is a 4-digit number.
Answer
View full question & answer→12,345; 5,432
Question 202 Marks
Give a 5-digit number and a 3-digit number such that their difference is a 4-digit number.
Answer
View full question & answer→10,000; 999
Question 212 Marks
Write two five digit numbers whose difference is less than 56,503 .
Answer
View full question & answer→98, 977; 12,023
Question 222 Marks
Write two five digit numbers whose sum is a six digit number.
Answer
View full question & answer→98, 754; 45,789
Question 232 Marks
Write all possible 3-digit numbers using the digits $6,0,4$, when
(i) repetition of digits is not allowed.
(ii) repetition of digits is allowed.
(i) repetition of digits is not allowed.
(ii) repetition of digits is allowed.
Answer
View full question & answer→(i) $640,460,604,406$
(ii) $400,406,460,466,444,404,440,446,464,600,604,640,644,646,664,606,660,666$
(ii) $400,406,460,466,444,404,440,446,464,600,604,640,644,646,664,606,660,666$
Question 242 Marks
Write a five digit number and a 3-digit number whose sum is a six digit number.
Answer
View full question & answer→99, 998; 789
Question 252 Marks
Find the difference between the number 279 and that obtained on reversing its digits.
Answer
View full question & answer→693
Question 262 Marks
How many different 3 -digit numbers can be formed by using the digits $0,2,5$ without repeating any digit in the number?
Answer
View full question & answer→4
Question 272 Marks
Write the smallest 3-digit number which does not change if the digits are written in reverse order?
Answer
View full question & answer→101
Question 282 Marks
What is the largest 5-digit number with unique digits?
Answer
View full question & answer→98,765
Question 292 Marks
What is the smallest 3-digit number with unique digits?
Answer
View full question & answer→102
Question 302 Marks
Write two five digit numbers whose sum is a five digit number more than 90,250.
Answer
View full question & answer→87, 542 ; 12, 111