1

Mangoes are to be exactly divided into groups of 20, 30 or 36 .What is the minimum number of mangoes required?

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2

Find the Greatest Common Factor (GCF) of 18, 24 and 60. 1(a) GCF of 18, 24 and 60

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3

Express the numbers 1470 and 7056 each as a product of its prime factors.

Hence evaluate and simplify

image

if m = 1470 and n = 7056.

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4

Express 0.00152 correct to:

(i) two (2) significant figures

(ii)three (3) decimal places

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5

Write each of the numbers 18, 24 and 36 as a product of prime factors and hence find their greatest common factor.

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6

( Three airplanes arrived at Kilimanjaro International Airport (KIA) at the intervals of 30 minutes, 40 minutes and 55 minutes. If all three airplanes arrived at KIA at 2:00 p.m. on Saturday, when and at what time would they arrive together again?

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7

Add the first three common multiples of 3 and 5.

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8

 Find the GCF of 210, 357 and 252.

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9

Find the average of all multiples of ten from 10 to 190

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10

From the set of numbers {1, 3, 4, 5, 6, 8, 10, 15, 17, 21, 27}; write down:

(i) the prime numbers, (ii) the multiples of 3, (iii) the factors of 60.

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11

Four wooden rods with lengths of 70 cm, 119 cm, 84 cm and 105 cm are cut into pieces of the same length. Find the greatest possible length for these pieces if no wood is left over.

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12

If the production of 6 integers is negative, find the maximum number of integers in that product which are negative.

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13

The numbers 2, 3, 5 and Y have an average equal to 4. What is the number represented by the letter Y? 

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14

If N is a number such that when multiplied by 0.75 gives 1, find the value of N

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15

Find the Least Common Multiple of 24, 36 and 48. 

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16

.Write the number 2373695 in words  

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17

Write 498,030 in words.

ii. Express the number given in part (a) (i) in standard notation.

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18

By using the listing method, write the lowest common multiple of 3, 10 and 15.

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19

Write in numerals: nine hundred ninety nine million nine hundred ninety nine thousand nine hundred and one.

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20

Determine the number of significant figures in each of the numbers: 400,780 and 0.00606, then approximate each number into one significant figure.

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21

Find the product of the G.C.F and L.C.M of 6, 9 and 15.

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22

Find the lowest common multiple of the numbers 15, 35 and 40.

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23

Jenk and Jemry are riding on a circular path. Jenk completes a round in 24 minutes where as Jemry completes a round in 36 minutes. If they started at the same place and time and go in the same direction, after how many minutes will they meet again at the starting point?

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24

Calculate the sum of the prime numbers between 70 and 90.

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25

Kisiki and Jembe are riding on a circular path. Kisiki completes a round in 24 minutes whereas Jembe completes a round in 36 minutes. If they both started at the same place and time and go in the same direction, after how many minutes will they meet again at the starting point?

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26

Juma sells one litre of milk at sh 600. How many litres of milk will Juma sell to get sh 208,800?

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27

Find the product of the G.C.F and L.C.M of 4, 8 and 12. 

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28

Calculate the value of , x + y + 2z ? 12 when x = 5 , y = 8 and z = 9 .

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29

Mwajuma deposited Tsh. 360,000 in her bank account. If the bank charges Tsh. 1,000 for every withdrawal, calculate the amount of money remained in her account if:

(i) she withdrew Tsh. 106,000. 

(ii) she makes a further withdrawal of Tsh. 50,000 from the remained amount. 

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30

Find the LCM and GCF of 13, 52 and 104.

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31

A block is cut into equal units of l0g, 20g and 35g. Use prime factorization method to find the smallest possible mass of the block form which the pieces can be cut.

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