# Waec Gce 2023 Mathematics 1st Series Answers

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### Get all waec gce 2023 first series mathematics answers, 2023 waec gce 1st series maths answers, 100% waec gce 2023 first series maths questions and answers expo # 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
##### 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��
##### 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
##### Explanation

n(AuB) = n(A) + n(B) –  n(AnB)

n(AuB) = 8 + 12 – 3

= 17

If 24 + 96 – 600 = y6, find the value of y

• A. 4
• B. 2
• C. -2
• D. -4
##### Explanation

24 + 96 – 600 = y6

convert all to basic surds

24 = 26

96 = 46

– 600 = -106

26 + 46 – 106 = -46

value of y = -4

Evaluate 23 x 54 (mod 7)

• A. 2
• B. 3
• C. 5
• D. 6
##### 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
##### 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%
##### Explanation

cost price = $50 Selling price = 15 * 8 =$120

percentage profit = spcpcp��−���� * 100 →  1205050120−5050 * 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