Test Paper 1 Time Allowed : 3 Hours Max Marks 100 General Instructions:
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1 Test Paper 1 Time Allowed : 3 Hours Max Marks 100 General Instructions: (i) All questions are compulsory. (ii) This question paper has 4 sections- A, B, C and D. (iii) Questions 1 to 8 of section A carry 1 mark each. Questions 9 to 18 of section B carry 2 marks each. Questions 19 to 28 of section C carry 3 marks each. Questions 29 to 35 of section D carry 6 marks each. (iv) Figures wherever required, should be drawn neatly. 1. How many thousands make a lakh? (1) 2. Write the successor and the predecessor of (1) 3. Write all the factors of 28. (1) 4. Temperatures in Jammu during a particular week in January were (From Monday to Sunday) 6 C, 5 C, 4 C, 2 C, 0 C, 1 C, 3 C Which was the coldest day? (1) 5. Simplify to the lowest terms : (1) 6. Solve the equation 2x 12 = 0 (1) 1
2 7. For the given figure, which one is the mirror line, l 1 or l 2? (1) 8. Draw a circle of radius 3.5 cm. (1) 9. Find the product using suitable properties (2) 10. Give two pairs of prime numbers whose difference is 6. (2) 11. Find the LCM of the given numbers : (a) 10, 28 (b) 11, 330 (2) 12. In the given figure, name the point (s) (2) (a) interior of COB (b) exterior of COB (c) on AOB 2
3 13. Calculate : (2) (a) ( 40) (b) ( 140) 14. Find an Equivalent fraction of 2 7 with denominator 21. (2) 15. Simplify : (2) 16. Divide Rs 250 between Anu and Vinay in the ratio 2 : 3. (2) 17. Draw any line segment AB. Mark any point M on it. Through M, draw a perpendicular to AB (use ruler and compass). (2) 18. What is the disadvantage in comparing line segments by mere observation? (2) 19. Express in Roman Numerals (3) (a) 69 (b) Find the HCF of 540 and 744 (3) 21. How many lines can pass through : (3) 3
4 (a) one given point (b) two given points also draw the lines. 22. Write all integers lying between 4 and 4 and show them on the number line. (3) 23. Check whether the numbers 4, 12, 36 are in proportion.(3) 24. A car can travel 310 km in 5 hours with a uniform speed. What distance will it travel in 7 hours? (3) 25. A, B and C has Rs 20 each. During lunch time, they together spent Rs on chocolates, Rs on snacks, Rs on cold drinks. How much money did they spend? (3) 26. Bobby s age is half of his father s age. If Bobby is x years old, what will be : (3) (a) her age after 6 years (b) her father s age after 3 years. 27. The number of cold-drinks sold by a shopkeeper on four consecutive days is shown below : (3) Days Monday Tuesday Wednesday Thursday Number of cold-drinks sold Draw a bar graph to represent the above information. 28. Which direction will you face if you start facing (3) 4
5 (a) East and make 1 2 of a revolution clockwise? (b) South and make one full revolution? (c) North and make 3 2 of a revolution anti-clockwise? 29. Number of sheets of paper available for making notebooks is 75,000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the paper available?(6) 30. Find the least number which when divided by 12, 16, 24 and 36 leaves a remainder 7 in each case. (6) 31. Simplify : (6) Following pictograph shows the number of jeep s in four villages (6) (a) Which village has the least no. of jeeps? 5
6 (b) Which village has the maximum no. of jeeps? (c) How many more jeeps village B has as compared to village C? (d) What is the total no. of jeeps in all the four villages? 33. In any triangle, the sum of three angles is always 180, if ratio between the three angles is 5 : 6 : 7. Find the angles. Is this a right-angled triangle? (6) 34. Two fields have the same perimeter. One is a square of side 72 m and another is a rectangle of length 80 m. Which plot has the greater area and by how much? (6) 35. Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet? (6) Answers Predecessor of 1000 = = 999 Successor of 1000 = = , 2, 4, 7, 14, Monday 6
7 x = 6 7. l (23, 29); (37, 31) 11. (a) 140 (b) (a) x (b) w, y, z (c) none 13. (a) 400 (b) Anu s share : 100 Vinay s share : (a) LXIX (b) XCVIII (a) Infinite (b) One Yes km 25. Rs
8 26. (a) (x + 6) yrs (b) 28. (a) West (b) (c) 29. 3,000 (2 x + 3) yrs South North (a) Village C (b) (c) 4 (d) 13 Village B , 60, 70, No 34. Square, 64 sq cm 8
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