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CH 4

This document is a mathematics test for Sec 1 students at Permai School, focusing on algebraic expressions, simplification, and problem-solving. It includes various sections requiring students to write expressions, expand and simplify, express fractions, factorize, and solve word problems. The test is structured into two sections with a total of 40 marks.

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25 views5 pages

CH 4

This document is a mathematics test for Sec 1 students at Permai School, focusing on algebraic expressions, simplification, and problem-solving. It includes various sections requiring students to write expressions, expand and simplify, express fractions, factorize, and solve word problems. The test is structured into two sections with a total of 40 marks.

Uploaded by

corina.nps
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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MARKS

Permai School

Mathematics Sec 1 – Term 1

Chapter Test (Ch. 4) 40


Name : __________________

Class : _________ Date : _______________

Section A

Show your working clearly. Give your answer in the space provided.

1. Write down an algebraic expression for each of the following statements. [5]

Statement Algebraic Expression


a) Subtract 4 from the sum of 2x and 5y
b) Divide the sum of 3z and 7s by 5a
c) Thrice the value of w divided by the sum of
3x and 7y.
d) Add 9z to the product of 3x and 7y
e) Multiply the sum of 7x and 11y by 2z

2. Expand and simplify each of the following expressions. [8]

a) 3 x−5 ( x− y ) b) 3 ( 2 p−3 q )−5 ( 3 p−5 q )

1
c)
3
[ 8 q−7 p−3 (p−2 q)] d) 12 a−3 {a−4 [ c−5 ( a−c ) ] }
4

3. Express each of the following as a fraction in its simplest form. [4]


a 2(3 a−5 c) x+ y 2 3 x −2 y
a) − b) − −
5 6 3 5 6

4. Answer the following questions using this algebraic expression


2
5 x – xy +3 x – 6+ 2 y
a) How many terms are in the algebraic expression above? [1]

b) What is the coefficient of the term xy ? [1]

c) List the constant term. [1]

5. Factorise each of the following expressions completely [2]


a) 14 p−56 pq−42 pr b) 18 ax +6 a−36 az

2
b+c a+bc
6. Given that a=3 , b=2, c=−1. Evaluate + [2]
a b

7. A pear cost x cents. An orange costs y cents less than a pear. Write the algebraic expression
for the cost of 4 pears and half a dozen of oranges. [1]

Section B

8. Subtract 7 x 3−x 2+ 3 x +3 from 4 x3 +2 x 2−5 x+ 1 [2]

9. A car travels 144 km in x hours. Write down, in its simplest form, an expression in terms of x
for its average speed in metres per second. [2]

10. Andy has 2 x books. Bill has 4 more books than Andy. Carol has half as many books as Bill.
a) Write down an expression, in terms of x , for the number of books that Carol has. [1]

3
b) Bill has 50 books, find the total number of books that they have altogether. [2]

1 1 3
11. In a theatre, of the audience were under age of 50, of the audience were over 75 and of
5 4 4
those over 75 were men. If the total number of audience was 80, find

a)The number of audience that were between 50 and 70 inclusive [2]

b)The number of women over 75. [2]

12. There are 32 boys and 52 girls signed up for an overseas learning trip. The teacher wanted
to divide them into as many groups as possible where the number of boys in each group is
the same and the number of girls in each group is also the same. Determine the number of
groups and hence find the number of boys and girls in each group.
[4]

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