classx maths lesson 1,2,3,4..

GUIDANCE TUITION CENTRE ALAKODE
FIRST TERM EVALUATION
MATHEMATICS –CLASS X TIME 2HRS MARK 80
1. 6,5……is an arithmetic progression.
a. What is the common difference?
b. Write next two terms of this AP.
c. Is 87 a term of this AP?Why?
2.In figure CED =20. Find x , y, z ?






3. If | a+1| = | a+5| ; | b-3 | = | b-6 | ; | a-x | = | b-x | . what is the value of a, b ,and x?
4.A clock strikes the number of times of the hour. How many strikes does it make in one day?
5. A circle is drawn with centre on the number line. Centre denotes the number 5. The circlecuts the number line at 11. What is the radius of the circle. The circle cuts the number line ata second point. What is the number denoted by the second point of intersection.
6. Prove that no number when added to 13 times of its reciprocal will give the number 7.
7 a.What is the 18th term of an Arithmetic progression whose nth term is 3n - 4.
( b) What is the nth term of the arithmetic progression 12, 18, 24, .....?
(c) 3n2 + 5n will never be the nth term of an Arithmetic progression. Why?

8. In the figure two semi circles with centres on line BF are shown. AC = 16, BC = 1
AF = 9.
What is the length of line CD? What is the length of the line DE?



9. In a right angled triangle , base and altitude are 5x and 3x-1 respectively. Area is 60 cm2 .what are its sides?

10. As a part of an assignment Smitha wrote all multiplies of 8 between 200 and 700.
Sateesh wrote all numbers between 200 and 700 which leave a remainder 3 when
divided by 8.
Who wrote more numbers? How many more?
What is the difference between the sum of numbers written by Smitha and the sum of
numbers written by Sateesh



11. As a part of an assignment Smitha wrote all multiplies of 8 between 200 and 700.
Sateesh wrote all numbers between 200 and 700 which leave a remainder 3 when
divided by 8.
Who wrote more numbers? How many more?
What is the difference between the sum of numbers written by Smitha and the sum of
numbers written by Sateesh?

12. (B) (a) Write an arithmetic progression consisting of 5 terms whose sum is 30.
(b) Sum of 21 consecutive terms of an arithmetic progression is 420. What will be
the 11th term of that progression.
(c) Sum of the first term and the 20th term of an arithmetic progression is 100. What
will be sum of the first 5 terms and the last5 terms of the above progression?

13. In figure ADC= 130, find BAC?


14. What is the nature of solutions of
following equations?

1) 2x2+x-1=0
2) x2+x+1=0
3) x2-4x+4=0

15. Babu and Basher starts their journey simultaneously from Kozhikode, Babu travels by a car and Basheer by aKSRTC bus .speed of the car is 10km/hr greater than bus To travel 360 km, car takes 3hrs less than that of bus
a. Form a quandratic equation by taking speed of bus x
b. Find the speed of car and bus.

16.Draw 3+7 on numberline