Prime Optional Mathematics 6

Model Question Set for Second Terminal Examination

Group ‘A’ [4 × 1 = 4]
1. a. What do you mean by Cartesian product ?

b. If A = <2 1F , find 2A.
3 –2

2. a. What is the measurement of 100g into degree ?
b. Write down the co-ordinate of P(x, y) under reflection about y-axis

Group ‘B’ [6 × 2 = 12]
3. a. Convert 3 2 into pure surd.

b. If =x + 2 y 3 G = <5 3F , find the value of x and y.
4 – 2 4 1

4. a. Find the distance between the points (4, 0) and the origin.
b. Find arithmetic mean of the observations 20, 24, 28, 32 and 36.

5. a. Find the value of Sin 30° + Cos60° + Tan45°.
3
b. If Tanθ = 4 , find the value of Sinθ.

Group ‘C’ [6 × 4 = 24]
6. If (2x + 1, 4) and (5, 2–y) are equal ordered pairs, find the value of ‘x’ and ‘y’.

7. If A = <3 2F and B = <1 –1F , find the value of (A +B)T.
41 2 3

8. Prove that AB = BC where the points are A(3, –2), B(0, 2) and C(4, –1) by
calculating distance.

9. Find the sum of the angles 40° and 60g in degree measurement.
10. Prove that : Tan²A – Sin²A = Tan²A.Sin²A.
1 – Tan30°
11. Prove that : 1 + Cot60° = 2– 3

Group ‘D’ [2 × 5 = 10]
12. Find the arithmetic mean of :

Class 0–8 8 – 16 16 – 24 24 – 32 32 –40

f 24683
13. Find the image of ∆ABC having verties A (1, 2), B (3, 6) and C (6, 0) under

reflection about y- axis. Also plot the object and image in graph.

146 PRIME Opt. Maths Book - VI

Specification Grid for
Final Examination referred by CDC Nepal

S.N. Contains Topics K-1 U-2 A-4 HA-5 TQ TM Periods

1 Algebra i. Order Pairs 11 1 – 37 16
ii. Cartesian Product
iii. Surd
iv. Polynomial

2 Matrices i. Introduction 111 – 37 10
ii. Addition
iii. Transpose

3 Co-ordinate i. Distance Formula –11 – 26 12
Geometry
ii. Mid-Point Formula

4 Trigonometry i. Measurement of 11 2 – 4 11 22
Angles
ii. Trigonometric
Ratios
iii. Conversion of TR
iv. Standard Angles

6 Vector i. Introduction 1– 1 – 25 6
ii. Addition

5 Transformation i. Reflection –1 – 1 27 8
ii. Translation

6 Statistics i. Central Tendency –1 – 1 27 6
ii. Range

First Term Review 4

Second Term Review 4

Total Questions 466 2 16

Total Marks 4 12 24 10 50 80

K = Knowledge, U = Understanding, A = Application, HA = Higher ability

Model Question Set for Final Terminal Examination

Group ‘A’ [4 × 1 = 4]

1. a. Define the term domain.

b. If A = <2 3F , find the transpose of A.
–1 1

2. a. Find the value of Cos60° + Sin30°.

b. If vector a = d x n , find ka.
y

Group ‘B’ [6 × 2 = 12]
3. a. If x³ + 2x² – 3x + 4 is a polynomial, write down its degree. Also write

PRIME Opt. Maths Book - VI 147

down its types according to degree.
b. De�ine squire matrix with an examples.

4. a. Write down the image of a point A (2, 3) under a translation vector T
= <12F .

b. If 14 is the arithmetic mean of the observation 8, 12, 14, 16, x, Find the
value of x.

5. a. Find the co-ordinate of mid-point of line joining the points A (1, 3) and
B (3, 5).

b. Find Tanθ from the given right angled ∆ABC.
A

10cm

CB
6cm

Group ‘C’ [6 × 4 = 24]

6. Find the value of 12 + 22 + 32 + 42 + 6

7. If A = <13 24F and B = <–21 12F , Prove that (A+B)T = BT + AT

8. Prove that the points A (4, 3), B (8, 0) and C (5, –4) are the verities of an

isosceles triangle.

9. Convert 25° 24’ 36’’ into degrees.
CosA CosA
10. Prove that : 1 – SinA + 1 + SinA = TanA

11. If a = d12n and b = d––46n , �ind the magnitude of vector a + b.

Group ‘D’ [2 × 5 = 10]

12. Find the median of the observations

Class 12 15 18 21 24

f 35698
13. Find the image of ∆ABC having verities A (2, –3) B (5, 3) and C (7, –4) under

re�lection about y = 0. Also plot the object and image in graph.

148 PRIME Opt. Maths Book - VI