# SEE Mathematics Questions SEE Model Questions

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1929 SEE Mathematics Questions are given here. So the secondary education exam candidates will find this SEE Mathematics Questions much useful.

#### How to tackle SEE Mathematics Questions

It is always challenge for the students to give perfect presentation during board exam. Hence here we give few tips for the SEE exam.

Class: 10                                                        Full Marks: 100

Subject: SEE Mathematics Questions              Time: 3 hour

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 SEE Mathematics Questions

Group: ‘A’

1.      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 .

#### SEE English Questions

Group: ‘B’

We have collection of SEE English questions as well. So if you are willing to take mock exam for English you can use it.

4.      a.    It is given that 1\$=NRS.105. If Nepali currency is devaluated by 10% at this rate, how many US\$ can be exchanged with NRS.1,73,250? 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?

5.      a. The perimeter and the length of two sides of a triangle are 54 cm, 12 cm and 18 cm respectively. Calculate the area of the triangle.

b.    If the total surface area of a solid sphere is 616 cm2, 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 10, 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=300, find x0 and y0.

c.    In the given diagram, O is the centre of the circle. If ÐQRS=1050, 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 cm2. Find the area of quadrilateral CDEF.

#### SEE Compulsory Mathematics Questions

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.

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

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.

#### SEE Model Questions

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 600 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 Q3 is 54.25  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

#### SEE Mathematics Questions 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=1800.

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