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Liu Po Shan Memorial College
(2010 – 2011)
First Term Examination
Secondary One
Mathematics
Date of Examination :13 – 1 – 2011
Time allowed : 1 hour 30 minutes
Name : ________________ Class: ______ Class no.:_____
Marks:
/ 100
Instructions:
1.
2.
3.
4.
5.
Answer ALL questions in this paper.
Write your name, class and class number in the spaces provided on this cover.
This paper must be answered in English.
For Section A, the answers should be written in the boxes provided.
For Section B, the solutions should be shown clearly in the spaces provided below
the questions.
6. Calculators in the approved list can be used.
7. This paper consists of 9 pages.
1
Section A : Multiple Choice (30 marks)
Choose the correct answer and write the letter in the spaces provided.
1.
2.
3.
Arrange
A.
4
3
1
,
,
2
4
9
B.
4
3
1
,
,
4
9
2
C.
4
1
3
,
,
4
2
9
D.
3
1
4
,
,
4
9
2
1. _____
What is the sum of the first five natural numbers ?
A. 15
B. 25
C. 28
D. 30
2. _____
Find the sum of all the prime numbers lying between 10 and 20.
A. 47
B. 55
C.
D.
4.
3
4
1
,
and
in descending order of magnitude.
2
9
4
57
60
3. _____
Which of the following numbers is smaller than  5 ?
A. 0
B.  4
C.
D.
8
4
4. _____
5.
Which of the following expressions gives a value lying between  25 and 0 ?
A.  24   4
B.  24   4
C.  24   4
D.  24   4
5. _____
6.
Express the word phrase ‘Subtract the sum of a and 4 from 9, and then multiply the
difference by 3’ by an algebraic expression.
A. 9  3a  4
B. a  4  9  3
C. 39  a  4
D. 39  a   4
6. _____
2
7.
What is the constant term in the algebraic expression 5 + 3q–4  9 ?
A. 31
B. 41
C. –31
D. –36
7. _____
8.
The cost of a supplementary exercise book is $50. Now a book dealer sells the book
for $35, what is the loss per cent?
A. 30%
B. 35%
C. 65%
D. 70%
8. _____
9.
There are 150 students who passed the mathematics examination in the first term.
The number of students who passed the mathematics examination in the second term
is decreased by 12%. Find the number of students who passed the mathematics
examination in the second term.
A. 18
B. 132
C. 136
D. 138
9. _____
10. The general term of a sequence is
A.
21
15
B.
15
8
C.
2
D.
15
7
2n
, find the 15th term of the sequence.
n 1
10. _____
11. Which of the following groups of numbers can all satisfy the inequality 5 – 2x ≥ 2?
A. – 3, – 2, 2
B. – 2.5, 0, 2.5
C.
D.
0, 0.5, 1.5
2.5, 3.5, 4.5
11. _____
12. Which of the following expression is the most reasonable estimation for the
expression 0.501  498 ?
A. 0.5  400
B. 1  490
C. 0.5  500
D. 1  500
12. _____
3
13. Round off 189.499 to the nearest ten.
A.
B.
C.
D.
180
189
189.5
190
13. _____
14. Which of the following expressions CANNOT be estimated by the translation
strategy?
I.
II.
III.
A.
B.
38.011  3.1  19.2
13.1  29.6  17.2
8 970  7.2  6.3
I only
II only
C.
D.
III only
I and II only
14. _____
15. A school is going to hold a sports day in a stadium with 8000 seats. The P.E. teacher
needs to estimate the number of students to make sure that every student has a seat.
Which of the following estimation strategies is the most appropriate ?
A. Clustering
B. Rounding off
C. Rounding up
D. Rounding down
15. _____
Section B : Questions (70 marks)
Solutions should be shown clearly in the spaces provided below the questions.
1. Calculate the following expressions.
(9 marks)
(a) 12  88  83  10  7
(b) (2)() 
1  1 1
 7
(c)   3  2    3  
4  4 2
 8
(a)
12  88  83  10  7
(b) (2)() 
4
1  1 1
 7
(c)   3  2    3  
4  4 2
 8
2.
(a) Use index notation to write 20 as a product of its prime factors.
(b) Use index notation to write 64 as a product of its prime factors.
(c) Find the H.C.F. and L.C.M. of 20 and 64. Use index notation to express the
answers.
(6 marks)
(a)
(b)
(c)
3.
2
of the students in Canotta Secondary School are boys, and there are 460 boys in
3
this school altogether. How many girls are there in this school ?
5
(3 marks)
4.
Simplify each of the following algebraic expressions.
(4 marks)
(a) 3a  5b  2c  a  6b  2c
(b) 18  2m  3m  6  4n  2m
(a)
(b)
5.
Solve the following equations.
(a) 3(7 – 2k) + 4 = –11
(b)
(6 marks)
5 v
 3
3 6
(a)
(b)
6.
If the sum of two consecutive odd numbers is 32, find the greater number.
(4 marks)
6
7.
John sold a car at $72 000. The loss per cent is 25%. Find the cost of the car.
(2 marks)
8.
If a number is increased from 120 to 150, find
(a) the increase,
(b) the percentage increase.
(a)
(4 marks)
(b)
9.
The original price of a computer is $8 800 and now it is sold at a discount
of 25% in a computer exhibition.
(a) By how much cheaper if one computer is bought?
(b) Find the selling price of the computer.
(4 marks)
(a)
(b)
7
10. Peter borrowed $50000 from a bank at an interest rate of 12% p.a. for 2 years. John
borrowed $10000 from the same bank at an interest rate of 25% p.a. The simple
interest paid by John was $8250 less than that paid by Peter.
(a) How much simple interest did Peter has to pay ?
(b) How much simple interest did John has to pay ?
(c) How long did John borrow the money ?
(d) What percentage of simple interest paid by Peter is simple interest paid by
John ?
(10 marks)
(a)
(b)
(c)
(d)
100
.
n
11.
In the formula I 
(a)
(a) What is the subject of the formula ?
(b) If I = 25, find the value of n.
(b)
8
(4 marks)
12.
It is given that the product of y and 6 is less than 100.
(a) Formulate an inequality to represent the above situation.
(b) Does 15 satisfy the inequality in (a)?
(a)
(b)
13. Consider the sequence
(2 marks)
1 2 3 4
, , , , ….
2 3 4 5
(a) Write down the 5th term of the sequence.
(b) Use an algebraic expression to represent the general term a n .
(c) Use the result of (b) to find the 10th term of the sequence.
(a)
(b)
(c)
(4 marks)
14. If the glass in the figure contains 400 mL of water, estimate the capacity of the glass.
(3 marks)
15. Round up each number in the expression 371 + 552 + 219 + 638 to the nearest ten
and then find the estimated value of the expression.
(3 marks)
16.
If a number x is increased by 10, the result is less than 20. Write down two possible
values of x if x is a positive integer.
(2 marks)
THE END
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