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GCE 2023/2024 waec gce Expo/Runs Questions and Answers Jan/Feb
Evaluate, correct to four significant figures, (573.06 x 184.25).
- A. 105600.00
- B. 105622.00
- C. 105500.00
- D. 105632.00
Correct Answer: Option A
Explanation
573.06 x 184.25 = 105,586.305
1,05600.00 to four significant figure
What are the Rules for significant figures?
Significant Figures
- All non-zero numbers ARE significant.
- Zeros between two non-zero digits ARE significant.
- Leading zeros are NOT significant.
- Trailing zeros to the right of the decimal ARE significant.
- Trailing zeros in a whole number with the decimal shown ARE significant.
Change 432five���� to a number in base three.
- A. 10100three�ℎ���
- B. 11100three�ℎ���
- C. 11101three�ℎ���
- D. 10110three�ℎ��
Correct Answer: Option B
Explanation
Convert from base 5 to base 10
432five���� = (4 x 522) + (3 x 511) + (2 x 500)
= (4 x 25) + (3 x 5) + (2 x 1)
= 100 + 15 + 2
= 117ten���
Then convert from base 10 to base 3
| 3 | 117 |
| 3 | 39 r 0 |
| 3 | 13 r 0 |
| 3 | 4 r 1 |
| 3 | 1 r 1 |
| 0 r 1 |
Selecting the remainders from bottom to top:
117ten��� = 11100three�ℎ���
Hence; 432five���� = 11100three
Given that A and B are sets such that n(A) = 8, n(B)=12 and n(AnB) =3, find n(AuB).
- A. 15
- B. 17
- C. 20
- D. 23
Correct Answer: Option B
Explanation
n(AuB) = n(A) + n(B) – n(AnB)
n(AuB) = 8 + 12 – 3
= 17
If √24 + √96 – √600 = y√6, find the value of y
- A. 4
- B. 2
- C. -2
- D. -4
Correct Answer: Option D
Explanation
√24 + √96 – √600 = y√6
convert all to basic surds
√24 = 2√6
√96 = 4√6
– √600 = -10√6
2√6 + 4√6 – 10√6 = -4√6
value of y = -4
Evaluate 23 x 54 (mod 7)
- A. 2
- B. 3
- C. 5
- D. 6
Correct Answer: Option B
Explanation
23 x 54 = 1242
In mod 7;
1242 ÷ 7 = 177 R 3
Hence; 1242 ≡ 3
If 43x3� = 16x+1�+1, find the value of x
- A. 2
- B. 3
- C. 4
- D. 5
Correct Answer: Option A
Explanation
43x3� = 42(x+1)2(�+1)
3x = 2x + 2
3x – 2x = 2
x = 2
A weaver bought a bundle of grass for $ 50.00 from which he made 8 mats. If each mat was sold for $ 15.00, find the percentage profit.
- A. 240%
- B. 140%
- C. 120%
- D. 40%
Correct Answer: Option B
Explanation
cost price = $50
Selling price = 15 * 8 = $120
percentage profit = sp−cpcp��−���� * 100 → 120−5050120−5050 * 100
percentage profit = 70 * 2 → 140%
Find the 17term of the Arithmetic Progression (A.P):-6,-1,4
- A. -91
- B. -86
- C. 74
- D. 79
Correct Answer: Option C
Explanation
common difference d = -1 – [-6] → -1 + 6
d = 5; a = -6
Tn� = a + (n-1)d
: T1717 = -6 + (17 – 1) 5
→ -6 + (16)5
→ -6 + 80 = 74