Mathematics Questions and Answers - Class 7 End of Term 2 2021 Set 1 with Marking Schemes

QUESTIONS

1. Which of the following is ninety two thousand seven hundred fifty seven and fourteen thousandths
   1. 92757.14
   2. 92757.014 
   3. 9275714
   4. 927571400
2. What is the value of digit 6 in 7610315
   1. hundred thousands 
   2. six hundred thousand 
   3. millions 
   4. tens of thousands
3. What must be multiplied by 0.07 to get 7
   1. 100
   2. 10
   3. 0.1
   4. 0.01
4. What is the sum of the next two missing numbers 1,3,6,10,15 
   1. 21
   2. 28 
   3. 49
   4. 7
5. What is the value of 
   ³/₅ + ¹/₃ of (⁴/₇ - ¹/₅) ÷ ²/3 
   1. 2³/₁₀
   2. ¹¹/₁₄
   3. 5¹/₅
   4. 1³/₁₀
6. If a=3, b=a-1 and c = b +4
   Evaluate
   a² + c
   2b - 1
   1. 5
   2. 3
   3. 7
   4. 1
7. Jared deposited sh 24000 in a bank which pays 15% simple interest. He withdrew all the interest after 1¹/₂ years. How much money did he withdrew 
   1. Sh 4040
   2. Sh 3600
   3. Sh 5400
   4. Sh 2940
8. James fenced his rectangular piece of land measuring 50m by 25m. Using five strands of wire what length of wire did he use
   1. 750m
   2. 600m
   3. 375m
   4. 150m
9. What is the next number in the sequence below
   ¹/₂, ⁵/₈, ³/₄, ⁷/₈
   
   1. 2
   2. 1¹/₈
   3. 1¹/₇
   4. 1
10. What is the value of 8.229 + 4 correct to the nearest thousandths
    1. 2.058
    2. 2.0573 
    3. 2.573
    4. 2.057
11. Mwangi drives 2¹/₂hrs at an average speed of 64km/h and later drives 50km at 100km/h. What is his average speed for the whole journey
    1. 50km/h
    2. 70km/h 
    3. 3km/h
    4. 210km/h
12. Mkulima bought a radio cassette on hire purchase terms. He paid a deposit of sh 5000 and there after 15 monthly installments of Sh 1200 each. If the total amount he paid was Sh 3000 more than the marked price, what was the marked price of the radio cassette
    1. Sh 23000
    2. Sh 13000
    3. Sh 26000
    4. Sh 20000
13. Find the perimeter of the shape below in metres
    
    
    1. 460mm
    2. 300cm
    3. 4.6m
    4. 52m
14. Elijah scored an average mark of 63% in six tests in the first five, his score was 67%. 58%, 72%, 53% and 60%. What was his score in the sixth test?
    1. 378
    2. 69
    3. 68
    4. 75.6
15. Nyambura bought the following items from a shop
    2kg of flour for sh 150
    3kg of rice @sh 70
    2 bars of soap @sh 110
    2kg of cooking fat @sh 100
    2 boxes of matches for sh 10
    If she gave the shopkeeper sh 1000 note, how much balance did she receive
    1. Sh 50
    2. Sh 210
    3. Sh 950
    4. Sh 790
16. What is the sum of the next two prime numbers after 83
    1. 172
    2. 186
    3. 170
    4. 176 
17. In the figure below angle BAC is 52° and angle ACB is 48°. Find the measure of angle t
    
    
    1. 100°
    2. 80°
    3. 48°
    4. 52°
18. Which of the following measurements will form a right angled triangle
    1. 7cm, 8cm, 10cm
    2. 2.5cm, 6cm, 6.5cm
    3. 4cm, 6cm, 10cm
    4. 5cm, 6cm, 7cm
19. An orange tree was 160cm. The height of the tree increased by 7¹/₂ find the new height of the orange tree 
    1. 267¹/₂ cm
    2. 107¹/₂cm 
    3. 172cm
    4. 167cm
20. Five men working at the same rate can dig a shamba in 12 days. How many days will 15 men take
    1. 4 days
    2. 60 days
    3. 27 days
    4. 17 days 
21. 5(7 - 3e) + 3 (9e + 2)
    1. 12e +41
    2. 12e-41
    3. 42e-2a
    4. 42e = 2a
22. Find the perimeter of the given figure below
    (take pie to be π =3¹/₇ )
    
    
    1. 108m
    2. 90m
    3. 80m
    4. 108m²
23. King'ong'o and Muriasi shared sh 750 in the ratio of 7:8 respectively how much Muriasi get
    1. Sh 500
    2. Sh 400
    3. Sh 250
    4. Sh 350
24. The price of a radio was reduced by 20% in a reduction sale. If maina bought it at Sh 5600, what was the original price of the radio
    1. Sh 1400
    2. Sh 7000
    3. Sh 6000
    4. Sh 8000
25. The mean weight of 8 chicken is 3¹/₂kg. The total weight of three of the chicken is 13kg what is the mean weight of the remaining five chicken in grammes
    1. 3000
    2. 8 
    3. 28
    4. 3
26. The area of a triangle is 96cm². If its base is 12cm what is the height of the triangle
    1. 16cm
    2. 32cm
    3. 24cm
    4. 12cm 
27. What is the value of
    0.48 x 0.24
    0.24 x 0.06
    1. 8
    2. 800
    3. 0.8
    4. 80
28. The table below shows the number of goats sold in a week
    

    Day	Mon	Tue	Wed	Thur	Fri
    No Sold	43	40	39	46	42

     What was the median number of goats sold
    1. 41
    2. 43
    3. 42
    4. 39
29. The charges for sending a telegram are sh 12 for ten words or less. Sh 1.00 is paid for each extra work. A tax of 18% of the total is then charged. How much did Sophia pay to the nearest five cents for the telegram below
    JOSHUA BOX 18 KANGUNDO SEND SCHOOL FEES SHILLINGS TWELVE THOUSANDS JOSHUA 
    1. Sh 15.34
    2. Sh 15.30
    3. Sh 15.50
    4. Sh 15.35 30.
30. A pick up carried 14 cartons. Each carton had 200 tins. What is the total mass of the tins in tonnes if each tin was 500g
    1. 14
    2. 14000
    3. 1.4
    4. 1400 
31. The ration of sheep to cows in a flock is 5:3. If there are 130 less cows than sheep. How many cows are in the flock
    1. 390
    2. 520
    3. 325
    4. 195
32. On a map the scale used is 1:5000. A piece of land is drepresented on a drawing by a length of 3cm by 2cm. Find the actual area of the land in hectares
    1. 6ha
    2. 1.5ha
    3. 300ha
    4. 0.3ha
33. Find the size of the angle marked L
    
    
    1. 114°
    2. 66°
    3. 132°
    4. 48°
34. Tap A takes 6 hours to fill a tank while tap B takes 8 hours to fill the same tank. What fraction of the tank is filled by both taps in 1 hour 
    1. ¹/₂₄
    2. ⁷/₂₄
    3. ¹/₈
    4. ¹/₆
35. Which is the shortest length of wire from which equal pieces of length 32cm, 28cm and 36cm can be obtained without a remainder
    1. 4cm
    2. 96cm
    3. 2016cm
    4. 120cm
36. Work out
    (0.9)² + √0.0196 
    1. 0.95
    2. 0.14 
    3. 0.81
    4. 0.95 
37. Arrange the following ascending order
    ²/₃, 0,42, ⁵/₈ and 0.44
    1. 0,42,²/_3, 0.44, ⁵/₈
    2. 0,42,0.44,⁵/₈,²/₃
    3. ²/₃,⁵/₈,0,42,0.44
    4. 0,42,²/₃,0.44,⁵/₈
38. Calculate the area of the closed cylinder shown below 
    π = 22
           7
    
    1. 1034cm²
    2. 880cm²
    3. 1188cm²
    4. 308cm²
39. The table below gives the distance in kilometres between town F to K
    
    What is the distance between town F and K via G
    1. 150
    2. 320
    3. 240
    4. 390 
40. What is the value of
    (3y + 4b) - (2y + b)
    If b=6 and y=10 
    1. 28
    2. 80
    3. 40
    4. 54
41. Karanja bought 5.86kg of potatoes, Kamau bought half what Karanja bought and Omondi bought 3 times what Kamau bought. What was the total mass of the potatoes bought by the three people
    1. 8.79
    2. 14.65
    3. 11.79
    4. 17.58 42.
42. What is twice the value of w in the figure below
    
    
    1. 40
    2. 80
    3. 50
    4. 36
43. Three hundred and sixty four people contributed Sh 450 each to buy a piece of land. How much did they contribute all ! together
    1. Sh 814
    2. Sh 136800
    3. Sh 163800
    4. Sh 16380
44. What is the distance of the given figure below in metres
    
    
    1. 10.665m
    2. 10665m
    3. 1066.5m
    4. 106.65m 
45. Wendy is p years old. Her father is 7 times as old as wendy. How old will her father be in 30 years time?
    1. 7p + 30
    2. 8p + 60
    3. 2p + 30
    4. p + 30
46. A rectangular tank measures 3.2m by 12m by 4.5m high. Find the volume of the tank in cubic metres
    1. 172.8m³
    2. 172800m³
    3. 1.728m³
    4. 1728m³
47. Mwango visited her aunt on January 20th 2016. He went back home on 3rd March 2016. How many nights did she sleep at her aunt's place
    1. 91
    2. 44
    3. 43
    4. 42
48. Solve the inequality below
    2x - 2 > x+3
         2        4
    1. x>1²/₅
    2. x>2¹/₃
    3. x<1 ²/₅
    4. x<2¹/₃
49. Construct triangle PQR in which QP-6cm, PR-4.5cm and angle PRO is 1200. Draw a circle that passes point PQR. What is the diameter of the circle? 
    1. 6.8cm
    2. 10.6cm
    3. 3.4cm
    4. 5.3cm 
50. The graph below shows Nyangweso's journey from Nyeri to Migori by car. He started his journey at 8.00a.m and arrived ar 3.30 p.m
    
    What was his average speed after lunch 
    1. 50km/h
    2. 150km/h
    3. 66 km/h
    4. 557 km/h

MARKING SCHEME