Question

1. ama has 4 one - cedi notes and orders an ice cream for gh¢ 1.75 and two toffees at 50 gp each. how much does she have left? a. gh¢ 1.25 b. gh¢ 1.75 c. gh¢ 2.25 d. gh¢ 2.75
2. a trader received a commission of 5% on goods sold at gh¢ 25,000.00. find the commission. a. gh¢ 1,250.00 b. gh¢ 1,200.00 c. gh¢ 1,100.00 d. gh¢ 1,000.00
3. which of the following inequalities is represented on the number line? a. x < 2 b. x ≤ 2 c. x > 3 d. x ≥ 2
4. multiply (8s - 7) by (8s + 7). a. 64s² + 49 b. 64s² - 49 c. 16s² - 42 d. 16s² + 42
5. the population of a town is 56782. what is this number to three significant figures? a. 567 b. 568 c. 56700 d. 56800
6. find the largest value of these numbers: - 1,0, - 6, - 3. a. 0 b. - 1 c. - 3 d. - 6
7. a box contains 10 green and 8 white balls of the same size. if a ball is selected at random from the box, what is the probability that it is green? a. 1/10 b. 4/5 c. 5/9 d. 4/9
8. express 36 as a product of primes. a. 2×3 b. 2²×3² c. 2²×3 d. 2×3²
9. describe the set of m = {2,3,5,7,11,13,17,19} in words. a. m = {odd numbers less than 20} b. m = {factors of 19} c. m = {prime numbers less than 20} d. m = {whole numbers less than 20}
10. a survey shows that 28% of all the men in a village are vegetarian. what is the probability that a man selected at random from the village is a vegetarian? a. 7/25 b. 41/56 c. 1/2 d. 1
11. given that p = {4,8,12,16,20} and q = {2,4,6,8,10}, find the product of the members of (p ∩ q). a. 12 b. 18 c. 24 d. 32
12. anowa scored an average of 53 in science and mathematics. if she scored 50 and 60 in english and social studies respectively, find her mean score in all the four subjects. a. 57 b. 56 c. 55 d. 54
13. what is the missing number in the sequence: - 5, - 2,1, ..., ? a. 2 b. 3 c. 4 d. 5
14. charles and helen started a business with an amount of gh¢ 7,000.00. if their contributions were in the ratio 4:3 respectively, find helens contribution. a. gh¢ 2,500.00 b. gh¢ 3,000.00 c. gh¢ 4,000.00 d. gh¢ 5,000.00

Explanation:

Step1: Calculate remaining money for question 27

Ama has 4 one - cedi notes, so she has 4 1 = GH₵4. Cost of ice - cream is GH₵1.75 and two toffees at 50p each cost 2 0.5 = GH₵1. Total cost is 1.75+1 = GH₵2.75. Remaining money is 4 - 2.75 = GH₵1.25.

Step2: Calculate commission for question 28

Commission is 5% of GH₵25000. So, commission = 0.05 * 25000 = GH₵1250.

Step3: Determine inequality for question 29

The number line has a closed circle at 2 and the line goes to the left, so the inequality is x ≤ 2.

Step4: Expand product for question 30

Using the formula (a - b)(a + b)=a² - b², where a = 8s and b = 7, we get (8s - 7)(8s + 7)=64s² - 49.

Step5: Round number for question 31

To three significant figures, 56782 is 56800.

Step6: Find largest number for question 32

Among - 1, 0, - 6, - 3, the largest number is 0.

Step7: Calculate probability for question 33

Total number of balls is 10 + 8 = 18. Probability of selecting a green ball is $\frac{10}{18}=\frac{5}{9}$.

Step8: Prime - factorize for question 34

36=2 2 3 3 = 2² 3².

Step9: Describe set for question 35

The set M = {2, 3, 5, 7, 11, 13, 17, 19} is the set of prime numbers less than 20.

Step10: Calculate probability for question 36

Probability that a man is vegetarian is 28% or $\frac{28}{100}=\frac{7}{25}$.

Step11: Find product of intersection for question 37

P ∩ Q={4, 8}, product of elements is 4 * 8 = 32.

Step12: Calculate average for question 38

Let the score in Social Studies be x. The average of 53 in Science and Mathematics means total of these two is 53 * 2 = 106. The average of all four subjects is $\frac{106 + 50+60 + x}{4}$. Since average of all four is 57, we have $\frac{106 + 50+60 + x}{4}=57$. Cross - multiplying gives 106 + 50+60 + x = 228. Simplifying, 216+x = 228, so x = 12. The mean score of all four is 57.

Step13: Find missing number for question 39

The sequence has a common difference of 3. Starting from - 5, the next number is - 5+3=-2, - 2 + 3 = 1, 1+3 = 4.

Step14: Calculate contribution for question 40

The ratio of contributions is 4:3. Total parts is 4 + 3 = 7. The total amount is GH₵7000. Helen's share is $\frac{3}{7}\times7000$ = GH₵3000.

Answer:

1. A. GH₵1.25
2. A. GH₵1,250.00
3. B. x ≤ 2
4. B. 64s² - 49
5. D. 56800
6. B. 0
7. C. $\frac{5}{9}$
8. C. 2² * 3²
9. C. M = {prime numbers less than 20}
10. A. $\frac{7}{25}$
11. D. 32
12. A. 57
13. C. 4
14. B. GH₵3,000.00