2023 Alliance High Form 1 Mathematics Holiday Assignment

Boost Your Math Skills with These Fun and Engaging Form 1 Mathematics Activities | 2023 Holiday Assignment

Mathematics is a subject that many students find challenging and boring. But it doesn’t have to be that way! Mathematics can be fun and exciting if you learn it through engaging activities that stimulate your curiosity and creativity. That’s why we have shared this holiday assignment for you, to help you boost your math skills and enjoy learning new concepts and techniques.

1. Evaluate 26 ÷ 2 + 3 x 7 – 4 x 5 (3mks)

Solution

There are no parentheses or exponents in this expression, so we move on to multiplication and division, performing each operation from left to right:

26 ÷ 2 = 13

Next, we evaluate the remaining multiplication:

3 x 7 = 21 4 x 5 = 20

Now, we can substitute our evaluated multiplication and division back into the original expression and perform the addition and subtraction operations:

13 + 21 – 20 = 14

Therefore, the final answer is 14.

3. A watermelon vendor had 1500 watermelons. He sold 800 on the first day and 250 on the second day. He added 470 to the remaining stock on the third day.

a. How many watermelons did he have at the end?

Solution

To find the number of watermelons he had at the end, we need to subtract the number he sold from the number he had and then add the number he added.

He had 1500 watermelons and sold 800 + 250 = 1050 watermelons in the first two days.

So he had 1500 – 1050 = 450 watermelons left at the end of the second day.

He added 470 watermelons on the third day, so he had 450 + 470 = 920 watermelons at the end of the third day.

b. If he sold all the watermelons at an average cost of sh. 100 each. How much money did he collect.

4.  3/4 of the pupils in a school are boys. If there are 96 girls in the school, how many
pupils are there in the school.

Solution

To solve this problem, we need to find the fraction of the pupils that are girls and then use it to find the total number of pupils.

If 3/4 of the pupils are boys, then 1 – 3/4 = 1/4 of the pupils are girls.

If there are 96 girls in the school, then 96 is 1/4 of the total number of pupils.

To find the total number of pupils, we need to multiply 96 by 4.

So the total number of pupils is 96 x 4 = 384.

5 a. Three metal rods of lengths 234cm, 270cm and 324cm were cut into shorter pieces, all of the same length to make window grills. Calculate the length of the longest piece that can be cut from each of the rods and hence the number of pieces that can be obtained from the rods.

b) A metal dealer had a piece of wire which he intended to cut into pieces of 8m, 15m or 21m. determine the minimum length of the wire that would give an exact number of pieces of each length.

c) The G.C.D of two numbers is 12 and their L.C.M is 240. If one of the numbers is 60. Find the other number.

7. Four farmers took their goats to the Salim had x goats, Mohammed two more goats than Salim and Koech had 3 times as many goats as Mohammed whereas Okoth had 10 goats less than both Mohammed and Koech.

a) Write a simplified expression with one variable, representing the total number of goats.

b) Three butchers bought all the goats and shared them If butcher got 17 goats, how many did Okoth sell to the butchers?

8. A square has an area of 36 𝑐 𝑚 2. If the perimeter of the square increases by 30%, calculate the new perimeter.

9. A man is 𝑥 years old now. In 10 years’ time, he will be twice as old as he was 5 years ago. How old will he be in 10 years’ time?

10. a) Half the sum of the present ages of a mother and her daughter is equal to the difference between their ages In ten years time the mother’s age will be exactly twice the daughter’s age. Calculate their present ages. (3 marks)

b) In fourteen years’ time, a mother will be twice as old as her Four years ago, the sum of their ages was 30 years. Find how old the mother

was, when the son was born.

c) Khadija and Kagendo bought the same types of pens and exercise books from the same Khadija bought 2 pens and 3 exercise books for Sh 78. Kagendo bought 3 pens and 4 exercise books for Sh 108.Calculate the cost of each item.

11. The inside of a rectangular hall measures 15 m long, 9 m wide and 3 m high. There are two doors each measuring 2 m by 2.2 m and six windows each measuring 1.5 m by 1.5 m. The walls are to be painted.

a) Calculate the total area of the walls to be painted.

b) To paint an area of 5 𝑚 2 requires one litre. If the paint is sold in 4 litre tins, determine the number of tins of paint that should be bought.

c) The cost of a 4 litre tin of paint is Sh. 1 700. The painter is paid fixed charge of Ksh. 2 000 and Ksh. 30 per square metre of the wall painted. Calculate the total cost of painting the walls.

12. A bookstore has 30 816 exercise books which were packed in cartons. Each carton contained 24 exercise books. The mass of an empty carton was 2kg and that of a full carton is 12kg.

(a) How many cartons ware there? (2mks)

(b) What was the total mass of the empty cartons? (2mks)

(c) What was the total mass of books in one carton? (2mks)

(d) What was the total mass of all the exercise books? (2mks)

(e) What was the mass of one exercise book in kg to 2 decimal places? (2mks)

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