Review Exercise 2 Subjective)

Review Exercise 2

Subjective Questions 1. Describe the pattern of each of the following number sequences. (a) 1, 6, 11, 16, … (b)

43, 40, 37, 34, …

(c)

64, 32, 16, 18, …

(d)

4, 12, 36, 108, …

2. Complete the missing terms in the following number sequences. (a) 19,16,15 ,‫ٱ‬,‫ٱ‬,… (b) 39,48 ,‫ٱ‬,21 ,12,‫ٱ‬,… (c) 7, 14,42,‫ٱ‬,28 ,‫ٱ‬,… (d) 90, 30, 10,‫ ٱ‬,‫ ٱ‬,… 3. List (a) all the even numbers between 30 and 42, (b) all the odd numbers between 51 and 65, (c) all the three-digit odd numbers which are less than 170 such that the sum of its digits is 9, (d) all the three-digit even numbers between 100 and 200 such that the sum of its digits is less than 5. 4. Construct the number sequence (a) when the even numbers which are less than 10 are (i) added with 7, (ii) multiplied by 6, (b) when the odd numbers which are less than 10 are (i) multiplied by 4, (ii) subtracted by 10. 5. Determine whether each of the following statements is true or false. (a) The sum of two odd numbers is an odd number. (b) The sum of an even number and an odd number is an even number. (c) The sum of three odd numbers is an odd number. (d) The product of an even number and an odd number is an even number. 6. Determine whether each of the following numbers is a prime number. (a) 29 (b) 53 (c) 121 (d) 305 7. Find all the factors of the following numbers. (a) 18 (b) 25 (c) 40 (d) 63

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Essential Mathematics PMR

Review Exercise 2 8. State whether each of the following statements is true or false. (a) 5 is a factor of 365. (b) 13 is a factor of 429. (c) 16 is a factor of 584. (d) 26 is a factor of 874. 9. Determine whether 17 is a prime factor of the following numbers. (a) 136 (b) 384 (c) 517 (d) 1 717 10. By completing the factor trees, write down the prime factors of the given numbers. 18 54 (a) (c) 3

18 =

×

6

×

×

×

×

(b)

×

54 =

×

×

×

×

×

(d)

24 ×

24 =

×

75 × 5

6

×

×

×

×

×

×

24 =

×

×

×

×

11. Write down the first three multiples of following numbers. (a) 3 (b) 8 (c) 11 (d) 23 12.

Number

2

3

4

Multiples 5

8

9

318 1 025 4 513 5 790 18 432 Copy and complete the above table by marking with a ‘’ or a ‘’.

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Essential Mathematics PMR

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Review Exercise 2

13. Complete the following. (a) Multiples of 2 : 2 , 4 , 6 , 20 , 18 , 16 ,‫ ٱ‬, 12 , 10 ,‫ ٱ‬, … Multiples of 5 : 5 , ‫ ٱ‬, 25 ,‫ ٱ‬, 15 ,‫ٱ‬, … Common multiples of 2 and 5 : ‫ ٱ‬,‫ٱ‬, … (b) Multiples of 3 : 3 , ‫ ٱ‬, 21 , 18 ,‫ ٱ‬,12 , 9 ,‫ٱ‬, … Multiples of 6 : 30 , 24 ,‫ ٱ‬, 12 ,‫ ٱ‬, … Common multiples of 3 and 6 : ‫ ٱ‬,‫ ٱ‬,‫ٱ‬, … (c) Multiples of 4 : 4 , 8 , 12 , 16 , 20 , 44 , 40 , 36 , 32 ,‫ ٱ‬,‫ ٱ‬, 48 , 52 , ‫ ٱ‬,‫ٱ‬, ... Multiples of 7 : 7 , ‫ ٱ‬, 56 , 49 ,‫ ٱ‬, 35 , 28 , 21 ,‫ٱ‬, ... Common multiples of 4 and 7 : ‫ ٱ‬,‫ٱ‬, … (d) Multiples of 9 : 9 , 18 , 27 , 81 ,‫ ٱ‬, 63 ,‫ ٱ‬, 45 ,‫ ٱ‬, ... Multiples of 27: 108 ,‫ ٱ‬, 54 ,‫ ٱ‬, … Common multiples of 9 and 27 : ‫ ٱ‬,‫ٱ‬, … 14. Determine whether (a) 168 is a common multiple of 3 and 8, (b) 749 is a common multiple of 7 and 12, (c) 800 is a common multiple of 2, 5 and 9, (d) 1 092 is a common multiple of 3, 4 and 13. 15. Find the lowest common multiple of the following numbers. (a) 4 and 20 (b) 9 and 24 (c) 3, 5 and 6 (d) 8, 14 and 21 16. Determine whether (a) 5 is a common factor of 72 and 225, (b) 12 is a common factor of 192 and 228, (c) 14 is a common factor of 126, 266 and 448, (d) 17 is a common factor of 204, 476 and 609. 17. Find the highest common factor of the following numbers. (a) 15 and 21 (b) 12 and 30 (c) 18, 24 and 54 (d) 45, 75 and 105

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Essential Mathematics PMR