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Source : Curriculum Development Centre, Sanothimi, Bhaktapur
Sub.Code :4031
GRADE XI
Applied Mathematics
Model questions
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Candidates are required to give their answers in their own words as far as practicable. The figures in the
margin indicate full marks.
Time : 3 Hrs. Full Marks: 75
Attempt all questions.
Group A (1 11 = 11)
1. If a shoe manufacturing company wants to know the most demanding number of shoes, which one of
the following measures represents the best central value?
a. Mean c. Mode
b. Median d.Range
2. How much ‘Aana’ consists in one ‘Kathha’?
a. 10.65 b. 65.10
c. 11.65 d. 65. 11
3. If the area and the breadth of a rectangular table are 24x2
y – 18xy2
and 4x – 3y respectively, then the
length of this table is:
a. 6xy c. 4x + 3y
b. 4x – 3y d. – 6xy
4. If the cost of 2 kg tea is the same as the cost of 3.3 kg sugar, the cost of 2.2 kg sugar is the same as the
cost of 0.5 kg coffee. Then how much quantity of tea is same as 2 kg of coffee in terms of cost?
a. 5.3 kg c. 3.5 kg
b. 0.75 kg d. 7.5 kg
5. If a person has two children and there are 5 colleges in his/her town. In how many different ways the
person can admit his/her children among those 5 colleges in the condition that both children do not
want to admit to the same college?
a. 10 b. 20
c. 25 d. 5
6. A shopkeeper wants to buy stationery items costing Rs. 50 per unit and playing items costing Rs. 200
per unit. But the person has only Rs 20,000. Let x and y be the number of stationary and playing items
respectively. Then, which one of the following mathematical models best describes the given
condition so as to decide the maximum number of items to buy?
a. 50x+200y = 20000 c. 50x+200y < 20000
b. 50x+200y ≤ 20000 d. 50x+200y > 20000
7. A student has a probability of getting a grade A in mathematics on a test is 0.55 and getting a grade B
is 0.40. What is the probability that the person will get both grades?
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Source : Curriculum Development Centre, Sanothimi, Bhaktapur
a. 0.95 b. 0.22
c.0 d.0.73
8. What is the probability of getting 5 Saturdays in a month of 30 days?
a. 2/7 b. 1/6
c. 5/7 d. 1/7
9. How many numbers of three different digits less than 500 are formed?
a. 400 b. 288
c. 24 d. 27
10. Observe the following table carefully and select the best value in the missing place.
X 2 5 7 10
Y 10 22 30 ?
a. 44 c. 42
b. 50 d. 38
11. If x=y in every point (x,y) on a straight line then which of the following statement is true?
a. The straight line is X axis.
b. The straight line is Y-axis
c. The straight line through the origin and divides the first and third quadrants into equal two
half.
d. The straight line through the origin and divides the second and fourth quadrants into equal two
half.
Group B (5 8 = 40)
12. If consistency in the scores is the criteria for awarding the students, who should get the award based
on the following performance of two students X and Y in six tests of 100 full marks? [5]
X 56 72 48 69 64 81
Y 63 74 45 57 82 63
13. If the height of a square-shaped room is 10 feet and the volume of the same room is 1440 cube feet.
If the room has a door with 7 feet height whereas its breadth is half of the height. And, the room has
two windows covering the area double than the area of the door. How much should a person pay for
plastering on the 6 faces of the room at the rate of Rs. 20 per square feet? [5]
14. If the distance between two cities A and B is 40 Km and the distance between cities B and C is 50
km. How much time does a person need to travel from A to C through B if the person can maintain
the speed of 30Km per hour in the beginning and then he can increase the speed by 10 Km more for
each next 20 Km?[5]
15. Look at the following tariff rates of electricity consumption shared by the Nepal Electricity
Authority.
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Source : Curriculum Development Centre, Sanothimi, Bhaktapur
If A has a meter box of 15-ampere capacity and consumes 188 units in a month and B has a meter
box of 30-ampere capacity and consumes 175 units in a month. Decide which will pay more
electricity bill? [5]
16. To prepare a team for the volleyball game, 6 persons are to be selected including 2 girls. In how
many different ways such groups can be formed from 10 boys and 4 girls? [5]
17. Define independent events with an example.
A person wins the game if she/he obtains head on the coin and even number in the dice while
tossing a coin and rolling a dice simultaneously. What is the probability of winning the game by the
person?[2 + 3]
18. A farmer can buy two types of fertilizers. A bag of fertilizer M costs Rs. 50 and contains 6 kg of
nitrogen and 3 kg of potassium. Another bag of fertilizer N costs Rs. 40 and contains 3 kg of
nitrogen and 3 kg of potassium. If the farmer wants to add at least 30 kg of nitrogen and at least 18
kg of potassium to each plot of land, formulate a mathematical model for minimizing the cost of
fertilizing a plot of land. Also, solve it.[5]
19. In a book, there are 825 pages and each page contains 45 lines.
a. How many lines should be there on one page if the entire book should be completed in 700
pages?[2]
b. If a page consists of 50 or more lines, the cost of typing the page is Rs. 25 whereas per page
typing cost is Rs 20 when the page consists of less than 50 lines. In which of the form
(printing the books with 825 pages or 700 pages) will the cost be minimum?[3]
Group C (8 3 = 24)
20. The following box plots describe the scores of students in the test of mathematics taken in the
evening and in the morning.