Time: 1 hour M.M. 30
Attempt all questions.
Q1: Find all multiples of 50 that lie between 500 and 600.
Q2: How many prime numbers are there from 10 to 20?
Q3: How many composite numbers are there from 10 to 20?
Q4: There is no prime number whose units digit is 4. (T/F)
Q5: A product of primes can also be prime. (T/F)
Q6: Is the first number divisible by the second? Use prime factorization.
(a) 150 and 25
(b) 84 and 28
(c) 224 and 16
(d) 800 and 80
Q7: Observe that 5 is a prime number, and 2 × 5 + 1 = 11 is also a prime. Are there other primes for which doubling and adding 1 gives another prime? Find at least five such examples.
Q8: Find the prime factorization of these numbers without multiplying first.
(a) 72 × 36
(b) 120 × 48
Q9: Which of the following pairs of numbers are co-prime?
(a) 24 and 35
(b) 40 and 97
(c) 50 and 225
Q10: Consider these statements:
(a) Only the last two digits matter when deciding if a given number is divisible by 6.
(b) If the number formed by the last two digits is divisible by 6, then the original number is divisible by 6.
(c) If the original number is divisible by 6, then the number formed by the last two digits is divisible by 6.
Do you agree? Why or why not?
Q10: Who am I?
(a) I am a number less than 50. One of my factors is 8. The sum of my digits is 10.
(b) I am a number less than 100. Two of my factors are 4 and 6. One of my digits is twice the other.
The Solutions of the Unit Test Here
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