Mathematics Questions and Answers - Grade 7 Mid Term 2 Exams 2023 Set 3

QUESTIONS

1. Which of the following number are divisible by both 10 and 11
   2520, 4670,4730,6930,7470 (1 mk)
2. Write eighty nine million, two hundred and thirty two thousand one hundred and eight in symbols (1 mk)
3. What is the greatest mass that can be taken in an exact number of times from 144g, 216g and 126g? (3 mks)
4. Evaluate 14¹/₃ - (5¹/₅ + ⁴/₅ x ²⁵/₃) (2 mks)
5. A classroom floor is made of small square tiles side ¹/₂₀ m. If the floor measures 6m by 5m. How many such tiles are needed to cover the room? (2 mks)
6. Convert 72km/h into m/s. (1 mk)
7. Evaluate 11.7 x 0.036 x 5.8  (2 mks)
                   1.3 x 4.35 x 7.2
8. If x=3,y=2 and z = 2, calculate the value of ¹/_x² + ¹/_y² + ¹/_z² (2 mks)
9. Simplify ^2x/₃ + ^2y/₅ - ^4x/₃ - ^y/₅ (2 mks)
10. Juma spent half of his July salary on school fees, ¹/₈ on farming and ²/₃ of the remainder on food. Calculate his July salary if he spent sh. 3200 on food. (2 mks)
11. Evaluate (3 mks)
12. A room has two windows each measuring Im by 1.5m and a door measuring 2m by Im. The walls are 3m by 3m each. Find the cost of painting inner surface of the wall at sh. 325 per square metres. (2 mks)
13. A school water tank has radius of 2.Im and height of 450cm. How many litres does it hold? π = ²²/₇ (2 mks)
14. Sutuma went to a supermarket and bought the following items.
    • 2 packets of wheat flour @ sh 196
    • 2 packets of maize flour @ sh 200
    • 1 bar soap @sh 189
    • 2 kg of sugar@sh 156 
    • 1.5kg of cooking fat @sh 188
    • 3 packets of milk @sh 57
      Prepare a bill for Sutuma.  (2 mks)
15. Find the perimeter. π = ²²/₇ (3 mks)
    
16. Mukulima had 1800 animals in his farm. Out of these, there were 1200 chicken, 200 cows, 300 goats and 100 ducks. Represent the information on a pie chart. (4 mks)
17. The length of a rectangular plot is 200m. If the area of the plot is 4800m², Calculate the width of the plot. (1 mks)
18. Construct triangle ABC in which AB = 5cm BC 8cm and AC = 11cm measure all the angles (3 mks)
19. A juakali artisan had a metal bar of length 12m 15cm. He cut 220 pieces from it. Each piece had a length of 50mm. Calculate in mm the length of the metal left. (2 mks)
20. Evaluate;   (1  mk)
21. Find the angle marked n. (1 mk)
    
22. Each exterior angle of a regular polygon is 40°. Work out the number of sides of the polygon. (1 mk)
23. A man bought 10 mangoes at sh 10 each. He ate 4 mangoes and sold the rest making a profit of sh.20. Calculate his percentage profit. (2 mks)
24. The marked price of shirt is sh.1500. The shopkeeper offered a discount and sold it at sh. 1200. Calculate the percentage discount. (2 mks)
25. Traffic light at three different junctions shows green light at interval of 10 seconds, 12 seconds and 15 seconds. They all showed green at 1:00pm. At what time will they all show green again? (3 mks)

MARKING SCHEME

1. 4730 , 6930
2. 89 232 108
3. 18 g
4. 2⁷/₁₅
5. 12000 tiles
6. 20 m/s
7. 0.06
8. ¹¹/₁₈
9. ^y/₅ - ^2x/₃
10. sh. 12800
11. 16 m
12. sh 10075
13. 62370
14. sh 1746
15.      
16. Assess
17. 24 m
18. Assess
19. 15 cm
20. 48.166
21. n = 54º
22. 9 sides
23. 20%
24. 20%
25. 1.01 pm