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

SECTION A: Answer all the questions in this section. Write the correct answer in the box provided.

1. Mumbi added 36 499 to 26 461. What is  the total value of the digit in the thousands place value in the sum of the  numbers?
   
   1. 200
   2. 20 000
   3. Two thousand
   4. Twenty thousand
2. Which one of the following is six  hundred and four thousand, eight hundred and eighteen in symbols?
   
   1. 604 818
   2. 604 880
   3. 640 818
   4. 640 808
3. Round off the numbers below to the  nearest hundred and give their sum.
   68 413          32 091
   
   1. 68 400
   2. 100 500
   3. 32 100
   4. 100 504
4. During an occasion, Grade seven learners arranged chairs in 4 tents equally. The total number of chairs in the store was 200. They later noted that each tent required 10 more chairs which they borrowed. Out of the borrowed chairs, 4 were broken. How many chairs did they arrange in all the four tents altogether?
   
   1. 244
   2. 114
   3. 240
   4. 236
5. What is the smallest number that must be subtracted from 3 611 to make it divisible
   by 8?
   1. 2
   2. 3
   3. 8
   4. 4
6. What is the next number in the sequence below?
   184, 275, 366, 457, ________________________
   
   1. 448
   2. 558
   3. 548
   4. 449
7. What is the value of
   18 + ³/₇ ?
   1. ⁶/₇
   2. 42
   3. 1¹/₇
   4. 23
8. A rectangular plot of land had a length of 15.7 m and width of 12.9 m. What is the area of the plot of land?
   
   1. 28.73 m²
   2. 57.46 m²
   3. 212.53 m²
   4. 202.53 m²
9. In a supermarket, three bells A, B and C are set to ring at different intervals. Bell A after 15 minutes, B after 20 minutes and C after 30 minutes. If all the bells ring together now, after how many minutes will they ring together again?
   1. 6 minutes
   2. 60 minutes
   3. 40 minutes
   4. 45 minutes
10. Which one of the following numbers is a  prime number?
    1. 153
    2. 121
    3. 133
    4. 123
11. What is the reciprocal of ⁹/₇₆?
    1. ⁷⁶/₉
    2. 8⁴/₉
    3. 9¹/₃
    4. 7⁴/₉
12. In the number 346.291, which digit is in the hundredths place value?
    
    1. 9
    2. 3
    3. 4
    4. 2
13. Morris drew a shape like the one below
    
    He then asked Mary to calculate the area of the unshaded region. What was her correct answer?
    
    1. 375 cm²
    2. 750 cm²
    3. 185.5 cm²
    4. 187.5 cm²
14. Issa had 8 stores. Each store had 8 tonnes  640 kg of rice. What was the total mass of rice?
    1. 64t    120kg
    2. 69t     5 120kg
    3. 69t     120kg
    4. 64t     5 120kg
15. Below is a timetable of a bus travelling from Nairobi to Maua.
    

    Town	Arr. time	Dep. time
    Nairobi	______________	0800h
    Embu	1030h	1100h
    Chuka	1220h	1240h
    Meru	1430h	1455h
    Maua	1645h	________________

    How long does the bus take to travel from Embu to Maua?
    1. 6hrs     15minutes
    2. 5hrs     45minutes
    3. 4hrs      30minutes
    4. 3hrs      30 minutes

SECTION B:

Answer all the questions in the spaces provided. Show all your workings.  

16. The line below represents one railway line.
    
    Construct line GH, 4cm away to represent the other railway line. 
17. Calculate the size of the angle marked K in the figure below
    
18. Muthoni had 3p kilograms of maize flour. Mary had 5p kilograms of maize flour. Form an inequality to represent this information.
19. What is the area of a square whose side  measures 2¹/₄ cm?
20. The table below shows the number of pupils who were present in one week in a class of 30 pupils.
    

    Days of the week	Mon	Tue	Wed	Thur	Fri
    Learners present	30	28	26	30	24

    Represent this information in the bar  graph below.
    
21. Akuku bought three hens each sh. 400.  He later sold them for sh. 550 each. What was his profit?
22. Below is a price list in Dukamoja mshop
    

    Item	Sh	cts
    Tissue roll	35	00
    Mathematical set	250	00
    A loaf of bread	60	00
    2 kg packet of wheat flour	180	00
    A packet of milk	60	00

    Merimella bought 2 rolls of tissue, a mathematical set, 2 loaves of bread and 2
    packets of milk. If she paid for the items using a one thousand shilling note, what was her balance?
23. The angle drawn below is accurately drawn
    
    What is its size?
24. Draw any 3D object
25. The abacus below shows the number of people in a political meeting.
    
    What is the number of people in written words?

MARKING SCHEME

SECTION A

1. C
2. A
3. B
4. D
5. B
6. C
7. B
8. D
9. B
10. C
11. B
12. A
13. D
14. C
15. B

SECTION B

16. Learner to construct
17. 62°
18. 5p > 3p or 3p < 5p
19. 5¹/₂₆cm²
20. Learner to represent
21. Sh. 450
22. Sh. 440
23. 60°
24.  
    
25. Four hundred and twenty eight thoousand, three hundred and four.