New Trend Mathematics(2Nd Edition)S1A

New Trend Mathematics(2nd Edition)S1A

Integrated Exercise 2

(Chapter 4-Chapter 6)

Level 1

1. Solve the following equations.

(a) (b)

2. In the figure, the area of DPQR is. Find the value of x.

3. There are altogether 15 coins of $5 and $2 in a bag. If the total value of these coins is $51, find the number of $2 coins.

4. Evaluate the following.

(a) (b)

5. The monthly salary of Sam is $16000. He recently attends a Putonghua course, and the course fee is 3% of his monthly salary. Find the course fee.

6. The number of members in a youth centre drops from 250 to 180. Find the percentage decrease in the number of members.

7. The following bar chart shows the number of customers ordering different set meals in Taste Good Restaurant in a day.

(a) How many customers ordered set meals?

(b) Which set meal was ordered by most customers?

8. The following broken-line graph shows the market share of Brand A coffee sold by a company from 1998 to 2007.

(a) Write down the market share of Brand A coffee in 2000.

(b) Under which period did the market share of Brand A coffee remain unchanged? What was the market share?

(c) Bonuses would be given to the employees of the company once the market share of Brand A coffee reached 50%. In which years did the company give bonuses to its employees?

9. The following stem-and-leaf diagram shows the weight distribution of the athlete team members of a school.

(a) How many members are there in the athlete team?

(b) How many members weigh 70kg or above?

Level 2

10. Solve the following equations.

(a) (b)

11. There are two kinds of tickets for an exhibition: adult and child tickets. A total of 2000 tickets are sold. The number of adult tickets sold is 4 times that of child tickets. If the price of an adult ticket is $15 and that of a child ticket is $10, find the total income from the tickets sold.

12. Catherine spent $1376 in total on mobile phone service, entertainment and food. If the money spent on mobile phone service was $230 less than that spent on entertainment, and the money spent on entertainment was $147 less than half of the money spent on food, how much did Catherine spend on mobile phone service?

13. Edmond bought a jacket for $350 and a pair of jeans for $450, and then sold them at a loss of 28% and a profit of 24% respectively. Did Edmond make an overall loss? Find the percentage profit/loss of Edmond.

14. The marked price of a suitcase is $360. The suitcase is sold at a discount of 25% on its marked price.

(a) Find the selling price of the suitcase.

(b) A profit of $70 is made by selling the suitcase. Find the percentage profit.

15. A choir has 125 female members, and the number of male members is 20% less than that of female members.

(a) Find the number of male members in the choir.

(b) There are 135 senior members in the choir.

(i) Find the percentage of senior members in the choir.

(ii) It is given that 84% of the female members are senior members. If x% of the male members are senior members, find the value of x.

16. The following pie chart shows the most favourite ball games with a group of interviewees.

(a) What percentage of the interviewees love basketball the most?

(b) If 240 interviewees love tennis the most, how many interviewees are there in the group?

17. The following compound bar chart shows the number of members of a fitness centre.

(a) In which two years did the fitness centre have the same number of female members? Find the number of female members in each of these two years.

(b) In which year was the number of members less than that in the year before? Find the percentage decrease in the number of members.

(c) In which year was the number of female members greater than that of male members? What percentage of the members were female that year?

New Trend Mathematics(2nd Edition)S1A

MC Question

18. Which of the following is NOT an equation?

D. □

19. Which of the following equations have the same solution?

II.

III.

A. I and II only

B. I and III only

C. II and III only

D. I, II and III □

20. Mouse pads are sold at $x each. If $300 is paid for 5 mouse pads, there will be a $2.5 change. Set up an equation to find x.

D. □

21. A mother is 24 years older than her son. 8 years ago, she was 4 times as old as her son. Find the current age of the mother.

A. 24

B. 32

C. 40

D. 48 □

22. After reducing 152 by 20%, the result is x. Which of the following expressions can be used to find the value of x?

D. □

23. If the selling price of a desk increases from $200 to $250, then the percentage increase in the selling price is

A. 20%.

B. 25%.

C. 80%.

D. 125%. □

24. The marked price of an item is $2400. If the item is sold at the marked price, then the percentage profit is 25%. If the item is sold at a discount of 10% on its marked price, then the profit is

A. $240.

B. $540.

C. $600.

D. $1560. □

25. Herbert bought 80 pears for $120, and then sold all of them at $20 for 10. He made a

A. profit of 25%.

B. profit of.

C. profit of.

D. loss of 25%. □

26. The following stem-and-leaf diagram shows the marks of 40 S1A students in a Mathematics examination.

If the pass mark is 50 marks, how many students have failed the examination?

A. 5

B. 7

C. 8

D. 15 □

27. The following pictogram shows the daily sales of sport shoes in King Sports House in a week.

The difference between the highest and lowest daily sales in that week was

A. 32 pairs.

B. 34 pairs.

C. 36 pairs.

D. 38 pairs. □

28. The following pie chart shows the expenditure distribution of Deli Bakery in a month.

If the expenditure on wages was $24000, then the total expenditure on rent and materials was

A. $21600.

B. $38400.

C. $57600.

D. $96000. □

29. The following broken-line graph shows the number of newborn babies in a city from 2003 to 2007.

In which year was the increase in the number of newborn babies the smallest?

A. 2004

B. 2005

C. 2006

D. 2007 □

New Trend Mathematics(2nd Edition)S1A

Answers

New Trend Mathematics(2nd Edition)S1A

1. (a) -5 (b) -15

2. 7

3. 8

4. (a) 48 (b) 8

5. $480

6. 28%

7. (a) 120 (b) Set meal C

8. (a) 28%

(b) 2001 to 2002: 34%, 2006 to 2007: 46%

9. (a) 32 (b) 10

10. (a) 4 (b) 5

11. $28000

12. $98

13. No; percentage profit=1.25%

14. (a) $270 (b) 35%

15. (a) 100

(b) (i) 60% (ii) 30

16. (a) 27.5% (b) 1600

17. (a) 2005, 2006; 100 (b) 2005; 4%

18. D

19. A

20. C

21. C

22. C

23. B

24. A

25. B

26. B

27. C

28. B

29. B