mathematicsClassVIII (2014) mid exam

SARPANG LOWER SECONDARY SCHOOL

MID-TERM EXAMINATION 2014

SUBJECT: Mathematics                                                          CLASS: VIII

WRITING TIME 2 HOURS                                                   Full MARKS 100

SECTION A (30 MARKS)

Choose the correct response from the following four options. Each question carries 2 marks,

1. The ratio of teachers to students in a school is 1:6. If there are 22 teachers in the school, how many students are there in the school?

a. 252

b. 253

c. 352

d. 353

2. Calculate:     -2 ÷ 1 + X 2

a. 

b. -

c. 

d. -

3. Kumar can read a chapter of a book in 1 hours. How long will it take him to read 8 chapters?

a. 6 hrs

b. 10hrs

c. 8 hrs

d. 9 hrs.

4. 11% of 700 is ………..

a. 70

b.700

c. 7

d. 77

5. The scientific notation of 5.67 is

a. 56.7 X   10¹

b. 0.567 X 10^-2

c. 5.67 X 10⁰

d. 5.67 X 10²

6. The money a sales person earns for a sale or for total sales is referred to as.

a. commission

b. Principal

c. Simple Interest

d. Rate of commission.

7. Wangdi expresses 0.000467 as 4.67 X 10^-4. What idea is he trying to use here?

a. powers

b. scientific notation

c. proportions

d. Rational numbers

8. How many eggs are in dozen?

a. 33 eggs

b. 27 eggs

c. 24 eggs

d. 22 eggs

9. A school has 120 students. 55% of the students are girls. How many are boys?

a. 54

b. 66

c. 45

d.55

10. Pema invested Nu. 5000, for two and half years. He earned Nu. 1000 in interest, what is the simple interest rate?

a. 8%

b. 10%

c. 6%

d. 25%

11. About  of the population of Bhutan lives in urban areas. About  of the urban population lives in Thimphu. What fraction of population of Bhutan lives in Thimphu?

a.

b.

c.

d.

12. In hundred billion how many zeros are there?

a. 10

b. 6

c. 11

d. 9

13. The ratio of Bhagi’s mass to Samten’s is 5:4. If Bhagi’s mass is 40 kgs. What is Samten’s mass?

a. 23kgs

b. 50 kgs

c. 25kgs

d. 52 kgs.

14. Calculate:   - ÷

a.

b.

c. 4

d.

15. What multiplication expression is the following model represent.

                                                                                          

a.  X 4

b. 4 X 3

c. 4 X

d.  X 3

SECTION B (40 marks)

Answer all the questions

1. Karma borrows Nu. 28,800 for 2 years at an annual interest rate of 12.5%.

a. How much interest will Karma pay? (2)

b. How much will Karma has to pay back altogether?(2)

2. Write each in expanded notation and standard form (4)

a. 1 X 10^-1 + 4 x 10^-2 + 7 X 10⁴

b. 7 X 10^-4 + 5 X 10^-5

3. Bijoy Kumar, Arun Kumar and Binod Kumar ran laps around a track. Altogether they ran 33 laps. Bijoy Kumar ran 13 laps, Arun Kumar ran 8 laps. How many laps did Binod run?(3)

4. Sea water is 1.6% argon and 1.4% carbon dioxide. In 1 litre of sea water, how many grams are there of each. (4)

a. Argon      B. Carbon dioxide 

5. Factor 1,440,000 to find its square root (3)

6. Draw a number line to show 9÷1. (3)

7.Explain 2^-1  showing examples (3)

8. Calculate : (4)

a. 10.7 – (4.3 + 5.7 X 5.1) + (-7.1)

b.  - ( )

        - 

9. Multiplying using model (box method) (4)

a.  X

b.  X

10. Write each in scientific notation (4)

a. 231.96

b. 4,356,000

11. Find the value of each. Use familiar percent (4)

a. 9 % of a length is 36 m.

b. 80% of the money is Nu. 140.

SECTION C (30 marks)

1. pure gold is 24K (karats) (two 10 kg bar of 24K gold.

a. when we sat that gold is 18K, it means that pure gold mixed with other metals so that it is  or  gold. Estimate how much gold is in 10 kg of each. Give each answer in gram (3)

i. 12K

ii. 8K

iii. 22K

b. order from least to greatest (2)

i.  ,  -3, ,

ii. ,  0, ,  ,  

2. a. Chandra slept at home for  of the day and spent  of his working hours at home on the same day. What fraction of the whole day did he spend at home? (2)

b. Each month, Mindu earns a 3% commission on sales up to Nu. 75,000 and 5 % on sales over  Nu. 75,000. Last month he had sales of Nu.95, 000. How much commission did Mindu earn? (3)

3. a. Use counters to model and calculate each. (3)

i. 4 X (-3)                        ii. 2 X (-4) X 3                      iii.(-5 ) X 3

b. This year 40 more children joined a football league then joined last year. The number of children in this year’s league is 110% of the number in last year’s league. How many children played in the league last year.(2)

4. a. The sale price of a bed is Nu. 1200. This is a savings of 20% off the regular selling price. What is the regular selling price of the bed? (2)

b. Use different strategies to solve the following questions.(3)

i. 18 X (-25)

ii. 25 X (-3) X (-4)

iii. 5 X (-23)

5. a. Find each percent (3)

i. 48 is______ % of 80.

ii. 240is 150% of what number.

iii. 120% of 256 is…………….

b. Calculate  ÷ ( )        (2)

6. a. To make tempera paint, you mix 3 parts of paint concentrate with 18 parts of water. If you have 12L of paint concentrated, how many litres of water you need? (3)

b. Use   8.2 to estimate each (2)

i.

ii.