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The lengths of three wires were 30 m, 36 m and 84 m. Pieces of wire of equal length were cut from the three wires. Calculate the least number of pieces obtained. (4 marks)
2018 PP1 No. 5
Express 1728 and 2025 in terms of their prime factors. Hence evaluate:
(4 marks)
2019 PP1 No. 1
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A retailer bought a bag of tea leaves. If the retailer were to repack the tea leaves into smaller packets of either 40 g, 250 g or 350 g, determine the least mass, in grams, of the tea leaves in the bag. (3 marks)
2019 PPI No. 8
Without using mathematical tables or a calculator, evaluate (3 marks)
2020 PPI No. 1
A rectangular floor of a room measures 5.4 m long and 4.2 m wide. The room is to be covered with floor square tiles. Calculate the minimum number of square tiles that can be used to cover the floor. (4 marks)
2020 PP1 No. 4
Two bells ring at intervals of 35 and 42 minutes respectively. The bells ring together at 8.48 a.m. Determine the time when the bells will ring together again.
(3 marks)
2021 PP1 No. 2
Kipkoech and Tanui began a 5 000 m race together at the starting line. Kipkoech and Tanui took 72 seconds and 80 seconds respectively to run a 400 m lap. The two athletes were together again at the starting line after some time. Determine the number of laps that Tanui had to run to complete the race after they were together.
(3 marks)
2022 PP1 No. 4
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An introduction to Integers
The lengths of three wires were 30 m, 36 m and 84 m. Pieces of wire of equal length were cut from the three wires. Calculate the least number of pieces obtained. (4 marks)
2018 PP1 No. 5
Express 1728 and 2025 in terms of their prime factors. Hence evaluate:
(4 marks)
2019 PP1 No. 1
A retailer bought a bag of tea leaves. If the retailer were to repack the tea leaves into smaller packets of either 40 g, 250 g or 350 g, determine the least mass, in grams, of the tea leaves in the bag. (3 marks)
2019 PPI No. 8
Without using mathematical tables or a calculator, evaluate (3 marks)
2020 PPI No. 1
A rectangular floor of a room measures 5.4 m long and 4.2 m wide. The room is to be covered with floor square tiles. Calculate the minimum number of square tiles that can be used to cover the floor. (4 marks)
2020 PP1 No. 4
Two bells ring at intervals of 35 and 42 minutes respectively. The bells ring together at 8.48 a.m. Determine the time when the bells will ring together again.
(3 marks)
2021 PP1 No. 2
Kipkoech and Tanui began a 5 000 m race together at the starting line. Kipkoech and Tanui took 72 seconds and 80 seconds respectively to run a 400 m lap. The two athletes were together again at the starting line after some time. Determine the number of laps that Tanui had to run to complete the race after they were together.
(3 marks)
2022 PP1 No. 4