Mathematics Questions and Answers - Grade 7 End Term 3 Exams 2023 Set 1

1. The population of a certain county was 89653231. What is the population of to the county rounded off to the nearest millions. (1mks)
2. What is the total value of digit 8 in the number 961.4568. (1mks)
3. What is the least number that can be added to 96329 to make it divisible by 11?(2mks)
4. Three bells rings at intervals of 15mins 20mins and 30mins. They rang together at 9.30am. At what time will they ring together again? (2mk)
5. What is the sum of the next two numbers in the pattern (2mks)
   8, 12, 21, 46, 95,
6. Grade six learners arranged 1/3, 5/127 3/4 5/8 in the correct order from the largest to the smallest, arrange the fractions from largest to the smallest. (3mks)
7. A butcher had 11¼kg of meat. He packed the meat in ¾kg packet. He later sold each packet at sh. 200. How much did he get from the sale?
   (3mks)
8. A rectangular farm measures 27m by 675m wide. The area of the rectangle is equal to area of a square fish pond. What is the measurement of one side of the square?   (3mks)
9. I think of a number, double it and add 8 to the round and obtain 20.
   1. Write an equation to represent this information.  (1mk)
   2. Solve the value of the number. (1mk)
10. Calculate the difference between the largest and the smallest angle in the triangle below. (3mks)
             
11. A 65 m ladder leans on a vertical wall 25m high. What is the distance between the foot of ladder and the wall? (2mks)
12. Jamal walked round the figure below 3 times. What distance did he cover altogether? (2mks)
         
13. A flower farm is in the shape of a Rhombus its diagonals measure 24cm by 10cm. What is the area of the flower farm? (2mks)
14. A matatu covered a distance of 200metres in 10 seconds. Calculate the speed of the Matatu in kilometres per hour. (2mks)
15. The temperature of a substance was 860 kelvins it was cooled at the rate of (2mks) 10°c per minute. What is the final temperature of the substance after 10 minutes.   (2mks)
16. A sales lady earns a basic salary of sh.3000. He is also paid 5% commission on goods sold. How much did she earn in a month she sold goods worth sh.120000.
17. The figure below is full of water. What is the capacity of the tank in litres? (3mks)
             
18. Juma paid sh.10200 after he was allowed a 15% discount. How much was the marked price of the item. (2mks)
19. James scored the following marks in a test. (2mks)
            Mathematics - 8
            English - 7
            Science - 6
            SST/RE - 3
    He represented this information on a pie chart. Calculate the value of each angle that could represent each subject.  (2mks)
20. Calculate the area of the figure below.
    
21. Use the table below to answer the questions below (2mks)
    

    Value of money	Commission charged
    1-5000  5001 - 10000  10001- 30000  20001 - 30000  30001- 50000	35   55   75   100   150

    Moses sent two money orders worth sh. 7500 and sh.33500 (2mks)
    1. How much commission did he pay at the post office? (2mks)
    2. How much money did Moses pay at the post office altogether? (1mk)

MARKING SCHEME

1. 90,000,000
2. 0.0003
3. 9
4. 10:30am
5. 603
6. ³/₄, ³/₈, ³/₁₂, ¹/₃ 
7. Sh12000
8. 45m
9.  
   1. 2y + 8 = 20 (any letter)
   2. y = 6
10. 34°
11. 300m
12. 60m
13. 120cm²
14. 72km/hr
15. 487°C
16. Sh.9000
17. 6.16litres
18. Sh.12000
19. 120°, 105°, 90°, 45°
20. 223cm²
21.  
    1. 205
    2. 41205