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Grade 7 Online Lessons on Whole Numbers
Determine which of the following are prime numbers.
2, 3 and 4
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1.
The government paid 1000 shillings activity fee for each of the 3546 learners in a technical training college. In addition, the government paid to the college 2 456 000 shillings to construct a field. After one month, the college spent 1 234 768 shillings to support sport activities. Calculate the amount of money that the college was left with.
2.
At the beginning of the year, a farmer had 6170 cows distributed equally in his five ranches, A, B, C, D and E. He later bought 52 cows and put them in ranch A. After one month, he sold 365 cows from ranch A. How many cows remained in ranch A?
3.
Jerotich has 3 farms. She stored 89 559 litres of water using three tanks of equal size to irrigate the farms. One morning, she drew water from one tank to water the farms. Each farm used 9200 litres of water. Later in the evening, she added 12 356 litres of water into the tank she had drawn water from. How much water did the tank have by the end of the day?
4.
Hassan buys and sells animals. He deposited 896 532 shillings into his business, household and fees accounts in equal amounts. One day, he withdrew money from his business account to buy three cows at a cost of 50 000 shillings each. Later, he deposited 45 600 shillings into his business account. Work out his account balance in the business account.
5.
Identify the last two missing numbers in the following sequence. 50, 400, 850, 1400, …
6.
Arrange the following number in ascending order and identify the next number in the sequence. 648, 24, 216, 8, 72
7.
Create a number sequence using the rule: Start at 2 570 and increase by 250 up to the sixth term.
8.
Akinyi is a business woman. Every day, she deposits sh 1250 into her bank account. Create a pattern to show her bank account balance at the end of each day for one week.
9.
Fill in the spaces in the puzzle below.
10.
Work out: 21 358 ÷ 59
11.
Jenga’s company buys land, divides it into plots and then sells the plot. In one year, they sold 41 plots of land for five million, two hundred and sixty-two thousand, three hundred and fifty shillings. What was the cost of one plot?
12.
Ongwae harvested 12 650 kg of nuts from his farm. He stored the nuts in bags. One bag carried 55 kg of nuts. How many bags did he use to store the nuts?
13.
Wangui sells flowers in bunches of 36 pieces. In one month, she harvested 43 272 pieces of flowers. How many bunches of flowers did she harvest?
14.
Work out: 16 992 × 236
15.
Mazingira Junior Secondary School has 1236 learners. During the World Environmental Day, each learner planted 17 tree seedlings. How many tree seedlings did the learners plant?
16.
Mutwiri’s camels’ produce 2 458 litres of milk per day. How much milk did the camels produce in the month of February, 2020?
17.
Jijenge Polling Station has 5 438 registered voters. During an election, each voter was given six ballot papers. How many ballot papers did the voters in Jijenge Polling Station use?
18.
Work out: 7 581 793 – 5 617 200
19.
Subtract 321 467 from 9 256 489.
20.
Lusike is a businesswoman. She had 2 567 183 shillings in her bank account. She withdrew 856 345 shillings. How much money remained in her account?
21.
A county had 2 879 567 doses of Coronavirus vaccines in its hospitals. The health officials vaccinated 1 345 987 people. How many doses remained in the county store if each person received a single dose?
22.
In the year 2019 Census, the population of Kakamega County was 1 867 579 and that of Kiambu County was 2 417 735. How many more people were in Kiambu County than Kakamega County?
23.
Use digits 5, 2, 7, 9, 0 and 1 to form two 7-digit numbers. Create and work out a subtraction using the two numbers.
24.
Work out: 256 489 + 321 467
25.
Muthondu works in a milk processing company. He records the capacity of milk the company collects from farmers. One day, he recorded 456 321 litres of milk in the morning and 223 564 litres in the evening. What capacity of milk did the company collect from the farmers that day?
26.
In the first week of the month, a train transported 4 521 089 kg of cargo from the port to a depot. In the second week, it transported 1 985 420 kg of cargo and in the third week it transported 2 531 256 kg of cargo. What is the total mass of cargo that the train transported in the three weeks?
27.
In a certain region, the number of people who visited the Voluntary Couselling and Testing (VCT) centres to get tested for HIV and AIDs was 1 876 342 in the first year. In the second year, the number rose by 456 987 people. How many people were tested in the two years?
28.
Work out: 2 463 287 + 5 974 561 + 569 821
29.
Which among the following is a prime number? 112, 113, 114, 115
30.
Determine which of the following are prime numbers. 2, 3 and 4
31.
Write five even numbers between 8 001 and 8 015.
32.
a) What are even numbers? b) What are odd numbers?
33.
Round off the following number to the nearest hundreds of million. 852 105 462
34.
A contractor spent 879 652 300 shillings to construct a road. How much money did the contractor spend to the nearest hundreds of million?
35.
The estimated mass of building stones mined from a quarry was 489 750 120 kg. Round off the mass of the building stones to the nearest hundreds of million.
36.
The government allocated 550 421 352 shillings to buy sanitary pads for girls in schools across the country. Round off the amount of money the government allocated to the nearest hundreds of million.
37.
Which is the smallest 9-digit number that when rounded off to the nearest hundreds of million becomes 200 000 000?
38.
Write down a 9-digit number. Round off the number to the nearest hundreds of million.
39.
Round off the following number to the nearest tens of million. 486 587 274
40.
Round off the following number to the nearest tens of million. 1 097 619
41.
In a certain year, farmers in Homa Bay County produced 19 546 200 kg of sweet potatoes. Round off the mass of sweet potatoes to the nearest tens of million.
42.
Round off 9 001 025 to the nearest million.
43.
To protect children in a certain county against polio, the government supplied 2 458 368 vaccines to the county. Round off the number of vaccines to the nearest million.
44.
A coffee factory sold 714 500 kg of coffee in the first year. In the second year, the factory sold 614 260 kg of coffee. a) What is the total mass of coffee the factory sold in the two years? b) Write the total mass of coffee that the factory sold in the two years in words?
45.
Write the following numbers in words. a) 1 236 542 b) 5 000 894
46.
What is the total value of each digit in 932 701 523?
47.
Determine the total value of digit 2 in 21 143 509.
48.
In a certain year, Kenya earned 576 690 000 shillings from the export of meat to other countries. What is the total value of digit 5 in the number?
49.
The government regularly calculates the total number of learners enrolled in primary and secondary schools. In 2020, the number of learners was approximately 13 690 500. What is the total value of each digit in the number 13 690 500?
50.
Identify the place value of each digit in the following number. 467 962 315
51.
What is the place value of each digit in 47 962 315?
52.
During the national constitution amendment debates, the number of people who participated across the country was 13 810 765. a) What is the place value of each digit in the number 13 810 765? b) Why is it important to engage citizens in constitutional amendments?
53.
The estimated number of trees planted globally in half a year is 950 000 000. a) What is the place value of digit 9 in the number? b) Why should we plant trees in our environment?
54.
Write down a 9-digit number. What is the place value of each digit in the number?
55.
Write down an 8-digit number. What is the place value of each digit in the number?
56.
What is the place value of digit 9 in the number 590 872 196?
57.
At the beginning of 2022, the estimated population of a certain country was 201 080 103. Identify the place value of each digit in the number.
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