Here we have few sets of Grade 8 DLE Optional Math Questions. So class 8 students can practice these Grade 8 DLE Optional Math Questions.

**Grade 8 DLE Optional Math Questions**

Table of Contents

Basically optional mathematics starts from class nine only. However many English medium schools start teaching optional mathematics from grade 8 itself.

Hence to full fill the demand of students for Grade 8 DLE Optional Math Questions we have prepare this practice sets.

**Grade 8 DLE Optional Math Questions [Set 1]**

*District Level Examination*

Class 8Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Full Marks: 50

**Subject: Opt. Mathematics** Time: 1 hour 30 minutes Pass Marks: 16

**Attempt all questions**

**Group A (110 =10)**

- (a) In a right angled triangle, one of acute angle is 40
^{g}. Find the other acute angle in grade. - (b) Through what angle in degrees does the minute hand of a clock turn in 20 minutes
**Complete the following:**

(i) sin (90^{0}-A) = (ii) sec (90^{0}– B) =

(e) On which axis do the following points lie?

(i) (-7,0) and (ii) (0,10)

(f) Find the coordinate of the midpoint of the line joining the points M(2,14) and N(10,-4).

(h) Match the following:

(i) Â Negative quarter turnÂ Â Â Â Â Â Â Â Â Â (a) Rotation through 90^{0} clockwise. (ii)Â Positive quarter turnÂ Â Â Â Â Â Â Â Â Â Â (b) Rotation through 90^{0} anticlockwise

(i) What do you mean by primary data?

(j) Find the mode of the following data: 3,9,6,3,6,6,9,6,3

**Group B (2×10=20)**

2. (i) Convert 140^{0} into radian measure.

(ii) Find each interior of an octagon.

(iv) If =, find the value of 2sinÎ± +1.

- Find the distance between the following pair of points: J(6,-2) and K(7,3).
- Find the coordinates of the points which divides internally the line joining D(-3,-4) and E(2,5) in the ratio of 1:2.
- The marks of 10 students of a class are 46, 51, 62, 70, 35, x, 50, 83, 65, 52. If the average mark is 55, find x.
- Find the upper quartile (Q
_{3}) from the following data: 16, 4, 18, 20, 35, 10, 15, 40.

**Group C (4×5 = 20)**

- Find the value of: 3 sin
^{2}60^{0}+ cot^{2}30^{0}â€“ 2 cosec^{2}60^{0}â€“ tan^{2}30^{0}. - Prove that the following points are the vertices of an isosceles triangle.

A(0,4), B (3,-3) and C (-3,-3)

- If A(4,-1), B(2,2) and C(6,1) are vertices of triangle ABC, then find the image triangle after the rotation through 90
^{0}about the center at origin. Show your work on a graph. - From the following frequency distribution find the mean.

Marks obtained | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |

No. of students | 4 | 6 | 10 | 18 | 12 |

#### DLE Science Questions

#### DLE Optional Math Questions [Set 2]

**District Level Examination**

Class: 8 F.M.: 50

Subject: Opt. Mathematics Time: 1:30 hours P.M.: 20

**Answer all questions:**

**Group ‘A’** (9×2=18)

- If the ordered pairs and (12, 5) are equal, find x and y.
- Find the distance between A(-1, 1) and B(3, 3).
- So find the images of and after reflection through x-axis.
- Find the median of 30, 10, 40, 5, 50 and 20.

**Group ‘B’** (4×8=32)

- Rationalize and simplify:
- Prove that and are the vertices of a parallelogram ABCD.
- DABC with vertices A(3, 5), B(7, 4) and C(5, 9) is rotated through angle of 90
^{0}in positive direction about origin. Find the image and plot both the figures on the graph paper. - Find the mean of the following data

Marks | 10 | 15 | 20 | 25 | 30 |

No. of students | 5 | 10 | 18 | 9 | 8 |

- Find the coordinates of a point which divides the line segment joining (1, 2) and (2, 3) in the ratio 4:3 externally.
- Prove that the points A(6, 4), B(2, 4) and C(6, 7) are the vertices of an isosceles triangle.

These are the sample questions only. So if would like to practice more such questions be in touch with us. We also provide online free service via our Facebook page.

**Finally we would like to express best of luck to all the DLE candidates.**