Model Test Question Papers CBSE 8th

1. Find the value of 198×198−102×102 
2. Find the remainder when x3+3x2−5x+4 is divided by x−1 
3. After allowing a discount of 8% on a toy, it is sold for Rs216.20. Find the marked price of the toy. 
4. A trader marks his goods at 40 % above the cost price and allows a discount of 25 % What is his gain per cent? 
5. How much per cent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 25 % on the marked price, he gains 20% 
6. Prove that in a parallelogram, the opposite sides are equal and the opposite angles are equal 
7. In the given figure, ABCD is a parallelogram and line segments AE and CF bisect the <A and < C respectively. Show that AE II CF 
8. Prove that any two adjacent angles of a parallelogram are supplementary 
9. Write a Pythagorean triplet whose smallest number is 6 
10. The students of a class arranged a picnic. Each student contributed as many rupees as the number of students in the class. If the total contribution is Rs1156, find the strength of the class 
11. Find the least square number which is exactly divisible by each of the numbers 8,12,15and20. 
12. The length of a rectangle exceeds its breadth by 7cm. If the length is deceased by 4cm and the breadth is increased by 3cm, the area of the new rectangle is the same as the area of original rectangle. Find the length and breadth of the original rectangle. 
13. A streamer goes downstream from point A to B in 9h. From B toA, upstream, it takes 10h. If the speed of the stream is 1km/;h, what will be the speed of streamer in still water? Also find distance between the points Aand B. 
14. The denominator of a rational number is greater than its numerator by 7. If the numerator in increased by 17and the denominator decreased by 6, the new number becomes 2. Find the original number. 
15. Divide 150into three parts, such that the second number is five-sixths the first and the third number is four-fifths the second.
16. ABCD is a rectangle. If BM and DN are perpendiculars from B and D on AC, prove that ∆ BMC ≅ ∆ DNA. Is it true that BM = DN?