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Uec J1

The document contains a series of mathematical problems and exercises, including tasks related to listing numbers, drawing number lines, finding HCF and LCM, factorization, and simplification. It also includes rules for sequences, calculations involving arithmetic operations, and solving equations. Additionally, it presents word problems involving odd numbers and sharing quantities.

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HJ Teo
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54 views2 pages

Uec J1

The document contains a series of mathematical problems and exercises, including tasks related to listing numbers, drawing number lines, finding HCF and LCM, factorization, and simplification. It also includes rules for sequences, calculations involving arithmetic operations, and solving equations. Additionally, it presents word problems involving odd numbers and sharing quantities.

Uploaded by

HJ Teo
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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14_J1-S1F

1. List the following numbers.


a. Even numbers less than 12.
b. Natural numbers from 20 to 60 which are divisible by 2 and 3

2. Draw number line to represent multiples of 4 which are > 20 but ≤ 36.

3. Find the HCF of 24, 72 and 120.

4. Find the LCM of 3 4 × 52 × 7 and 22 ×3 ×53 ×7 .

5. Factorize 720
a. Write the answer as a product of prime factors.
b. State the prime factors of 720.

6. State the rule and complete the following


a. 1, 2, 4, 8, 16, _____, _____,_____,
b. 0, 1, 2, 5, 20, _____,_____,_____,

7. Arrange the following in descending order


3 7 1 4
a. , , ,
4 10 2 5
31 5 8
b. , 2.8 1̇, 2 , 2
11 6 10

8. Calculate 2.015×30−10.8 and give your answer correct to 2 significant figures.


9. Calculate the following
a. −22 × (−3 )3 ÷ (−2 )2
b. [ 2 (−15+3 ) + (−12 ) ×3 ] ÷ 5
2 1 1
c. 4 −1 ×3
3 4 5
(−5 ) × (11−15 )
d.
8 × [ −19− (−9 ) ]
3 1
10. Calculate 2 −1.9+ and give your answer
4 5
a. In fraction form
b. Correct to 1 decimal place
11. Evaluate the following and show your steps clearly.
6
1
a. 2−
2 8
÷
3 9

b. ( )
−1
1 3 32
4
× + 2 +
25 √
2 1
3 9
c. √ 1728− √324 ÷ 32 + √ 25
3
2
a bd
12. Given that a=1 , b=2 , c=0 and d=−3, evaluate .
3 a−d
13. Simplify the following
a. 5−2 ( x +3 ) −[ 4−( 3 x−2 ) ]
2 x−5 2 ( 3 x+1 )
b. − −2 x
3 5
1 1 1
c. ( x− y ) + ( 2 x−5 y )− ( 6 x−5 y )
2 3 5

d.
3x
7y
÷
√81 x 4 15
49 y
2
+
x

14. Subtract the sum of 4 x 2−7 x+5 and 2 x 2−4 x−4 from 7 x 2−4 x−13.
15. Solve the following
a. 5 ( x−1 )=2 ( 3 x+ 4 )
3 1 2
b. x+ = x
4 2 3
3 x +5
c. =2 x−7
4
x−1 x−2 x−3
d. − =
2 3 4
16. Find the three consecutive odd numbers whose sum is 75?
17. When a number is added to two-fifths of itself, the result is 49. Find the number.
18. Andy and Leon has 45 pencils altogether. Leon gets twice as much as Andy, find each boy’s share.

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