Paragon International School (Secondary) Subject : Year 7 Mathematics Topic: Revision MYE 1 Name: Teacher’s Name: Mr. Koh JK Worksheet No. : 15 Date: Class: 1. Work out a) −7 + 2 b) −5 + 10 c) 4 − 6 d) −6 − 3 e) 1 − −8 f) −5 − 6 g) −3 + (−4) h) 6 + (−5) i) 20 + (−5) j) −10 + (−15) k) −2 + (−13) l) −3 + 20 m) 20 − (−5) n) −10 − (−15) o) −2 − (−13) p) −3 − 20 1 2. Fill in the missing numbers. )=1 a) 8 + ( c) −10 + ( ) = −6 b) −3 + ( )=3 d) 5 + ( ) = −5 e) ( )−3 =6 f) ( )−3 =2 g) ( ) − 3 = −1 h) ( ) − 3 = −6 2 3. Two integers add up to 2. On of the integers is 8. What is the other integer? 4. Work out a) 10 × −3 b) 4 × −9 c) 5 × −11 d) 7 × −7 5. Work out a) −24 ÷ 2 b) 24 ÷ −6 c) −50 ÷ 10 d) 63 ÷ −9 3 6. Work out a) (−5 + 2) × 4 b) (−6 ± 4) × 3 c) (1 − −3) × −7 d) (−2 − −5) × −10 7. Work out a) (−5 ± 7) ÷ 4 b) (10 − −4) ÷ −2 c) (−6 + 14) ÷ −4 d) (−5 − 13) ÷ 3 4 8. Work out the missing numbers. ) = −24 a) 3 × ( c) −2 × ( b) 6 × ( ) = −26 9. Work out the missing numbers. a) −27 ÷ ( ) = −3 c) ( ) ÷ 6 = −6 d) −12 × ( ) = −60 b) 36 ÷ ( ) = −9 d) ( 5 ) = −18 ) ÷ −4 = −8 10. Write down the first four multiples of 21. 11. How many multiples of 12 less than 100 12. Find the first three common multiples of 4 and 6. 13. Find the lowest common multiples of 3 and 10. 14. Find the lowest common multiples of 2, 5 and 6. 15. Find the LCM of 4 and 10. 6 16. Find the LCM of 2, 5 and 6. 17. Two numbers have a LCM of 45. The two numbers add up to 14.Find the two numbers. 18. Find the factors of 72. 19. Find the factors of 50. 20. Find the common factors of 16 and 28. 7 21. Find the common factors of 27 and 45. 22. (a) Find the highest common factor of 32 and 40. 32 (b) Use your answer to part (a) to simplify the fraction 40. 23. (a) Find the highest common factor of 52 and 91. (b) There are 91 rooms in a hotel. 52 rooms are reserved. What fraction of the room are reserved? 8 24. Use tests for divisibility to show that 5328 is divisible by 4 and by 9. 25. Show that 2739 is divisible by 11. 26. Show that 67108 is divisible by 4. 27. The number 3812* is divisible by 3. The final digit is missing. Find the missing number. 9 28. Work out a) 32 + 42 b) 62 + 72 c) 92 + 102 d) √64 e) √100 f) √225 g) 13 + 23 h) 33 + 53 i) 43 − 23 j) 3 3 l) k) √512 √216 3 m) √64 − √64 3 n) √25 − √125 10 3 √1000 3 o) √27 − √16 29. Find the missing number. a) √( ) = 20 b) √( ) = 25 c) √( )=3 d) √( ) = 35 e) √( 3 )=6 f) √( 3 ) = 10 3 ) = 11 h) √( 3 ) = 15 g) √( 11 30. Find the highest common factor of 12 + 22 + 32 and 42 + 52 + 62 . 31. 289 and 324 are two consecutive square numbers. Find the next square number after 324. 32. 1331 and 1728 are two consecutive cube numbers. Find the next cube number after 1728. 33. Work out. 8 × 103 56 × 102 6.5 × 104 34. Work out 800000 ÷ 105 90000 ÷ 104 9000 ÷ 103 4 × 106 877 × 104 33.2 × 103 3 × 108 13 × 106 0.65 × 106 2000000 ÷ 105 3000000 ÷ 106 520000 ÷ 104 400000 ÷ 104 500000000 ÷ 106 8000000 ÷ 105 12 35. Convert each of the following number into 𝑎 × 10𝑛 . a) 8900000 b) 34600 c) 783400000 d) 37000 e) 50 f) 7100 g) 400000 h) 7010 i) 2004000 36. Round each of these numbers to two decimals places (2 d.p.). a) 4.983 b) 9.037 c) 24.332 d) 128.641 f) 0.03174 e) 0.66582 37. Round each of these numbers to two decimals places (3 d.p.). a) 7.2845 b) 65.8823 c) 134.9028 d) 0.67893 f) 0.0085411 e) 300.00441 13 38. Write the number 476.8926636952, correct to: a) The nearest 10 b) The nearest whole number c) One decimal place d) Two decimal places e) Three decimal places f) Four decimal places g) Five decimal places h) Six decimal places i) Seven decimal places j) Eight decimal places 14