Mathematics Questions and Answers - Grade 7 End Term 2 Exams 2023 Set 1

QUESTIONS

1. Write the number 203004105 in words    (2mks)
2. The figure below represents Muema's piece of land.
   
   What is the total length of Muema's land in Metres?    (2mks)
3. What is the smallest one-digit number that, when subtracted from 687954, makes the result divisible by 11?    (2mks)
4. During a handwashing lesson in grade 7 in Bidii Primary School, 96% of the learners washed their hands with soap and water. What fraction of the learners did not wash their hands with soap and water?     (2mks
5. Find the next number in the sequence below  (2mks)
   800, 400, 200, 100, ___________________
6. The area of a square piece of paper is 6¼ m², what is the length of one side of the paper? (2mks)
7. In the year 2022, the number of registered voters in Kenya was recorded as 12,065,803. Round off (2mks) the number of voters to the nearest tens of millions.
8. What is the length of the base labelled "x cm" on the right-angled triangle below? (2mks)
   
9. I think of a number t, add 7 to it. The result is less than 30. Write an inequality to represent this information and use it to find the value of t.   (2mks)
10. Arrange the fractions below in descending order     (2mks)
    ³/₄, ²/₃, ¹/₂, ⁷/₈
11. Jayden sold a pair of trousers for sh1500. If he made a profit of sh300, for how much had he bought the trouser?    (2mks)
12. Work out: 27 ÷ 9 x 3 + 6 −13 =     (2mks)
13. The diagram below shows the interior angles of a triangle, Use the diagram to form an equation and find the value of x in degrees. (Hint: The sum of interior angles of a triangle adds up to 180°) (2mks)
    
14. Find the Least Common Multiple of 30, 45 and 50    (2mks)
15. Calculate the area of the parallelogram below      (2mks)
    
16. Use the number line given below to illustrate the inequality; 4 < y < 8             (2mks)
    
17. What is the reciprocal of 6¹/₅         (2mks)
18. How many prime numbers are there between 90 and 100?        (2mks)
19. John a Junior secondary grade seven learner ran round the field below once. What distance did he cover in metres?     (2mks)
    
20. The table below shows travel timetable from Nairobi to Malili town in Kenya.
    

    TOWN	ARRIVAL	DEPARTURE
    NAIROBI	-	11:00am
    ATHI RIVER	11:45am	12:30pm
    MLOLONGO	1:15pm	1:45pm
    KONZA	2:30pm	3:10pm
    MALILI	4:00pm	-

    How long does a bus travelling from Nairobi take to reach Malili Town?         (2mks)
21. Convert 2 000 Millilitres into Cubic Centimetres  (2mks)
22. A van carried 20 passengers. If each passenger had an average of 64kg 100g, what was the total mass of the passengers?   (2mks)
23. Work out; 8.11 ÷ 4              (2mks)
24. Simplify: 26f + 30y + 14f − 15y     (2mks)
25. The table below represents data recorded by grade 7 learners at Bidii Primary School during an activity involving counting the number of different types of vehicles that passed along their school road one day.
    

    TYPE OF VEHICLE	TALLY MARKS	NO. OF VEHICLES
    BUSES	IIII  IIII  IIII  III
    CARS	IIII  IIII  II
    LORRIES	IIII  IIII

    What was the total number of vehicles that passed along their road that day?           (2mks)

MARKING SCHEME

1. Two hundred and three million four thousand one hundred and five.
2. 650m
3. 3
4. ¹/₂₆
5. 50
6. 2½ or 2.5
7. 10 000 000
8. 28cm
9. t<23
10. ⁷/₈, ³/₄, ²/₃, ¹/₂ 
11. Sh. 1 200
12. 2
13. 43
14. 450
15. 72
16.  
    
17. ⁵/₃₁ 
18. One prime number that is; 97
19. 112m
20. 5hrs
21. 2 000cm³
22. 1282kg
23. 2.0275
24. 40f + 15y
25. 39 vehicles