Here is collection of **SEE Model Questions 2076 2077**. We are giving all subject model questions for SEE students.

**SEE Model Questions
2076 2077 **

The curriculum development center Nepal produce the model questions for the secondary education students. Hence the SEE students can practice these questions for their upcoming SEE board exam.

Beside this you can find the collections of questions of several well-known schools of Nepal.

**SEE Optional Mathematics Questions **

The question grid has been changed for the optional mathematics. The curriculum was changed earlier however the question grid is changed by the SEE 2076. The new grid of questions is as follow.

**Optional Mathematics
Specification Grid 2076**

SN | Content | Knowledge | Understanding | Application | Higher Ability | Total Question | Total Marks |

1 | Algebra | 2 | 3 | 2 | 1 | 8 | 21 |

2 | Limit and continuity | 1 | 1 | 2 | 5 | ||

3 | Matrix | 1 | 2 | 1 | 4 | 9 | |

4 | Coordinate geometry | 2 | 2 | 1 | 1 | 6 | 15 |

5 | Trigonometry | 2 | 3 | 3 | 8 | 20 | |

6 | Vector | 1 | 2 | 1 | 4 | 10 | |

7 | Transformation | 1 | 1 | 1 | 3 | 10 | |

8 | Statistics | 1 | 2 | 3 | 10 | ||

Total
| 10 | 13 | 11 | 4 | 38 | 100 | |

Marks
| 10 | 26 | 44 | 20 | 100 | 100 |

**Compulsory Mathematics Questions for SEE Students **

Candidates are required to give their answer in their own words as far as practicable. The figures in the margin indicate full marks.

*Attempt
all the questions.*

**Group: ‘A’ **

- a. Write the formula to calculate the VAT percent when selling price with VAT and selling price without VAT are given.

b. If three sides of a triangle are a, b and c respectively, what is the

semi-perimeter of the triangle? Write it.

2. a. If , then express y in terms of a and c.

b. Write the formula to calculate value of first quartile from continuous series.

3. a. In the given figure, what is the relation between the area of the parallelogram PQRS and DTQR. Write it.

b. In the adjoining figure, O is the centre of the circle. If , find the value of .

**Group: ‘B’ **

4. a. It is given that $1 =NRS. 205. If Nepali currency is devaluated by 20% at this rate, how many US$ can be exchanged with NRS.5,73,250? Find it.

b. The population of Dhampus village was 10,000 few years ago. The present population of the village is 13,310. If the population grows at 10%, in how many years ago it was 10,000?

**SEE Model Questions 2076 2077 **

5. a. The perimeter and the length of two sides of a triangle are 54 cm, 12 cm and 28 cm respectively. Calculate the area of the triangle.

b. If
the total surface area of a solid sphere is 616 cm^{2}, what will be
its radius?

#### c. Calculate the lateral surface area of the given prism.

b. If the sum of a number and 25 times of its reciprocal is Ten, find the number.

8. a. Calculate the area of the given quadrilateral ABCD.

b. In
the given diagram, O is the centre of the circle. If BCD is a tangent with C is
the point of contact and ÐCAF=30^{0}, find x^{0}
and y^{0}.

c. In the given diagram, O is the centre of
the circle. If ÐQRS=105^{0}, what is the value
of ÐPQS?
Find it.

9. a. In
the given figure, CD=12 cm, CF=14 cm, CE=18 cm, ÐECF= ½ ÐDCE
and the area of DCDE is 54 cm^{2}. Find the area
of quadrilateral CDEF.

b. Find the median class and frequency of median class from the given cumulative frequency curve.

10. a. From a deck of number cards numbered from 3 to 32, a card drawn at randomly. Find the probability of getting this card divisible by 5 and 7.

b. There are 8 white and 12 yellow identical balls in a bag. A ball is drawn from the bag without replacement. Then another ball is drawn. Draw a tree diagram to show all the probability and then find the probability of getting the different colour balls.

**Group: ‘C’ **

11. Out of 100 students, 80 passed in Science, 71 passed in Mathematics, 10 failed in both subjects and 7 did not appear in an examination. Find the number of students who passed in both subjects by representing the above information in a Venn-diagram.

12. A shopkeeper gained Rs.3000 by selling a mobile phone allowing 10% discount. He would have gained Rs.5000 if discount was not allowed. What was the marked price of the mobile phone? Find it.

**SEE Model Questions 2076 2077 **

13. The adjoining figure is a square base pyramid. If its slant height is 23 cm and its total surface area 360 square cm. find the volume of the pyramid.

**Long Questions **

15. Three years ago, the sum of the ages of father and son was 48 years. After three years the ratio of the ages of the father and son will be 3:1. Find their present ages.

16. Prove that the area of DABE is half of the area of parallelogram ABCD standing on the same base AB and between the same parallel lines AB and DE.

17. Construct DABC in which a=5 cm, b=4.8 cm and c=6.8 cm. Then, construct the parallelogram equal in area to DABC having a side of the parallelogram is 6 cm.

18. Verify experimentally that the sum of opposite angles is a cyclic quadrilateral PQRS are supplementary. (Two figures are necessary.)

19. The circumference of a circular pond is
176 m and a pillar is fixed at the centre of the pond. If a person finds the
angle of elevation 60^{0} on the top of the pillar from any point on
the bank of the pond, find the height of the pillar above the water level.

**20. If of P from the given data:**

Marks | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |

Frequency | 5 | 6 | 7 | P | 10 | 3 |

**Group:
‘D’ **

21. According to the system of yearly compound interest, a sum of money amounts to Rs.14520 in 2 years and in 3 years it amounts to Rs.15972. Find the sum and the rate of interest.

22. A tent is cylindrical in shape up to the height of 10 m and it is surrounded by a cone, the total height of the tent is 34 m with diameter of the base is 14 m. find the cost of preparing the tent at the rate of Rs.70 per square meter.

24. In the adjoining figure, the chords AB
and CD are intersect perpendicularly with each other at point M. Then prove
that ÐAOD+ÐBOC=180^{0}.