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

QUESTION

1. During a Junior Secondary Schools Mathematics contest a teacher wrote the number - below on a chalkboard. Use it to answer questions 1 (a) to (e). (5mks)
   

   394 669 425.7108

   1. Write the number in words.( 1mk)
   2. What is the place value of 3?
   3. What is the total value of 1?
   4. What is the place value of 8?
   5. What is the total value of 3?
2. What is the sum of prime numbers between 16 and 36?   (2mks)
3. A Junior Secondary class had 496 learners. A class teacher gave the learner ksh. 98. He later multiplied the amount he gave out by 69. Which answer did he get?      (2mks)
4. Work out;      (2mks)
   √625 + 9² − √64 =
5. Find the area of the shaded part.       (2mks)
   
6. Work out; 776 − 680 + 48 x 800 ÷ 32 = ______________________________ (2 mks)
7. Calculate the size of the angle marked with letter n in the figure below.  (2 mks)
   
8. Work out;    (2 mks)
   ¹³/₁₈ ÷ 4¹/₃
9. The length of the rectangular piece of land shown below is 30m more than width. Given that the perimeter of the land is 300m, and the width is xm. Form an equation to represe the information. Don't solve the equation.    (2mks)
   
10. Arrange the fractions given below in ascending order     (2mks)
    ¹/₆, ²/_3, ³/_4, ¹/_12, ⁴/₅, ___________________________________
11. Sam bought a television for sh. 35 000. He laer sold it and made a profit of sh. 12 000. A what price did he sell the television?         2mks)
12. What is the difference between the largest number and the smallest number that can be formed using digits 4, 0, 1, 9, 8 and 5?    (2mks)
13. In one month, Dave Supermarket sold goods worth sh. 800 000. In the following month the total sales were sh. 250 000 less. What was the total sales recorded in two months?    ( 1mk)
14. A square plot of land has a perimeter of 640m. What is twice its area?     (2mks)
15. What is the difference between the largest angle and the smallest angle in the diagram below?   (1mk)
    
16. By how many times is the L.C.M of 12, 18 and 36 greater that its G.C.D?   (2mks)
17. Solve for y in;   (2mks)
    3y − 5 = 19
18. Find the measure of the side marked K.  (2mks)
     K = _____________
19. What is the sum of the faces, vertices and edges of the solid below?    (2mks)
    
20. What is the circumference of the circle below? (pie = ²²/₇)    (2mks)
    
21. The price of a dress was reduced from sh. 500 to sh. 400. What was the percentage decrease?
22. Express ²/₂₅ as a decimal.
23. What is the value of 2.04 x 69.7 ?      (1mk)
24. ²/₃ of the pupils in Galu Primary school were boys. On the last day of the term of the boys and ¹/₁₂ of the girls were absent. What fraction of the pupils in the school were absent? (2mks)
25. What is the next shape in the pattern below?   (1 mk)
    
     ______________________

MARKING SCHEME

1.  
   1. Three hundred and ninety four millions, six hundred and sixty six thousand four hundred and twenty five point seven one zero eight.
   2. Hundreds of millions.
   3. 0.01
   4. Tens of thousandth
   5. 300,000,000
2. 119
3. 3,353,952
4. 98
5. 672m²
6. 1296
7. 45° 
8. ¹/₆
9. 4x + 60 = 300
10. ¹/₁₂, ¹/_6, ²/₃, ³/_4,⁴/₅,
11. Sh. 47,000
12. 880.821
13. Sh. 1,350,000
14. 51,200m²
15. 0
16. 6
17. y=8
18. 13cm
19. 26
20. 13.2
21. 20%
22. 0.08
23. 142.188
24. ¹/₉
25. drawing