Maths Midterm Exam - September 2023 - Class 7 - PDF

MIDTERM EXAMINATION – SEPTEMBER 2023 SUBJECT: MATHEMATICS Class: 7 Max. Marks: 80 No. of Pages: 04 SET 1 Time Allowed: 3 Hours General Instructions: 1. Read all...

MIDTERM EXAMINATION – SEPTEMBER 2023 SUBJECT: MATHEMATICS Class: 7 Max. Marks: 80 No. of Pages: 04 SET 1 Time Allowed: 3 Hours General Instructions: 1. Read all questions carefully. 2. Write your answers neatly. 3. Answer all questions. 4. Do write the correct question number. SECTION – A I. Choose the correct option: 5x1M=5M 1. The negative rational number from the following options is, _________. −3 −5 9 a) b) c) d) 0 7 −8 83 2. The complement of an angle measuring 510 is ______. a) 490 b) 390 c) 290 d) 1290 3. The number of decimal places in the product of 99.02 x 6.3 is ______. a) 1 b) 2 c) 3 d) 4 5 4. The improper fraction for 2 is ______ 8 16 8 21 8 a) b) c) d) 2 8 21 8 5 5. The property used in −5 + [9 + (−6)] = [(−5) + 9] + (−6) is a) Distributive property b) Associative property c) Commutative property d) Additive identity II. Do as directed: 5x1M=5M 6. Find the value of |−17| − |−4|. 7.  BAG and  BAT are linear pair of angles. If  BAG = 550, find the measure of  BAT. 1 8. Find the reciprocal of 5. 6 9. Find 0.125 × 100 6 10. Find two equivalent fractions for. 18 1|Page  SECTION - B III. Do as directed: 8x2M=16M −5 11. Represent on the number line. 8 12. Solve (−243) + (−385) + 381 + 70 13. Arrange the following numbers in descending order. 5.47, 6.54, 7.546, 5.67, 7.55 14. From the adjoining figure, identify two pairs of adjacent angles. 1 5 15. Add 8 + 3 2 8 16. Subtract 12.468 from 515.029 17. The ratio of two supplementary angles is 5 : 7. Find the measure of each angle. 18. Arrange the following fractions in ascending order. 3 8 3 17 , , , 5 15 10 30 SECTION - C IV. Solve: 10x3M=30M 19. Vidya, Pratap and Manoj went for a picnic. Their mother gave them a water bottle 1 that contained 8 litres of water. Vidya consumed of the water, Pratap consumed 2 3 of the water and Manoj consumed the remaining water. 8 i) How much water did Vidya consume? ii) How much water did Pratap consume? iii) What fraction of the total quantity of water did Manoj consume? 20. Multiply 6.34 × 1.27 2|Page  21. In the adjoining figure find the value of 𝑥. Also find the measure of  TOS. 22. a) Subtract (−87) from 157 b) Divide 154 𝑏𝑦 (−11) 1 1 23. Subtract 2 from 8 6 4 24. Divide 543.213 by 3.1 4 4 2 2 25. Simplify [{ 𝑜𝑓 ( + )} ÷ 2 ] 5 9 3 3 26. A committee buys 43.7 Kg of wheat at ₹12 per kg and distributes among 152 people. What is the amount of money spent for each person? 27. In the following figure 𝐴𝐵 ‫𝐷𝐶 ׀׀‬, find the value of x, y and z. 28. Ramya started a game of monopoly with ₹70. She had to pay ₹25 as tax and received ₹10 as rent. Again she won ₹20 in lottery and was then fined ₹50 for overspending. How much money was left with her at the end of the game. SECTION - D V. Solve: 6x4M=24M 29. a) Simplify using suitable property (−847) × 17 + (−847) × 70 + (−847) × 13 b) Multiply the following using suitable rearrangement 8 × (−25) × 43 × (−125) × 4 3|Page 30. a) In the given figure 𝑃𝑄 ‫𝑆𝑅 ׀׀‬. Find the value of Z. b) In the given figure, is 𝑙 ‫ ?𝑚 ׀׀‬Give reasons. 2 7 3 2 31. a) Simplify 6 × × 6 × 5 9 4 7 5 b) 25 shirts of equal size were prepared from 30 𝑚 of cloth. Find the length of the 9 cloth used for making one shirt. 32. a) In the given figure lines AB and CD intersect each other at O. Find the value of 𝑥. b) In the given figure, LMN is a straight line. Find the value of 𝑥 and 𝐿𝑀𝑃. 33. a) Find the product of 43.76 × 98 b) Find the quotient of 19 ÷ 8 34. Case study: Naveen’s academic session of Class VII was about to start in a week. His father bought him the set of text books from school. Being fond of Math, he curiously opened his Math text book and turned to his favourite chapter Decimals. Help Naveen by solving the following questions: a) What should be added to 5.76 – 5.2 to get 1? b) 3 Kg of sweets are shared equally among 4 students. How many grams of sweets does each child get? c) Which is greater 5.1 × 2.4 or 1.5 × 6.2? d) Given 46 × 93 = 4278 without actually multiplying find 46 × 0.093 4|Page