2012 General Mathematics WAEC SSCE (School Candidates) May/June: Difference between revisions
From WikiQuestions
No edit summary |
No edit summary |
||
Line 145: | Line 145: | ||
<li>'''**''' The diagram is a circle centre O. If <math>\ang</math>SPR = 2m and <math>\ang</math>SQR = n, express m in terms of n. | <li>'''**''' The diagram is a circle centre O. If <math>\ang</math>SPR = 2m and <math>\ang</math>SQR = n, express m in terms of n. | ||
<ol type="a"> | <ol type="a"> | ||
<li> | <li>M = <math>\tfrac{n}{2}</math></li> | ||
<li> | <li>m = 2n</li> | ||
<li> | <li>m = n – 2</li> | ||
<li> | <li>m = n + 2</li> </ol> | ||
</li> | </li> | ||
<li> | <li>'''**''' In the diagram, MQ||RS, <math>\ang</math>TUV = 70° and <math>\ang</math>RLV = 30°, Find the value of x | ||
<ol type="a"> | <ol type="a"> | ||
<li> | <li>150°</li> | ||
<li> | <li>110°</li> | ||
<li> | <li>100°</li> | ||
<li> | <li>95°</li> </ol> | ||
</li> | </li> | ||
<li> | <li>'''**''' In the diagram, MN,PQ, and RS are three intersecting straight lines. Which of the following statement(s) is/are '''true'''? I. t = y II. x + y + z + m = 180° III. x + m + n = 180° IV. x + n = m + z | ||
<ol type="a"> | <ol type="a"> | ||
<li> | <li>I and IV only</li> | ||
<li> | <li>II only</li> | ||
<li> | <li>III only</li> | ||
<li> | <li>IV only</li> </ol> | ||
</li> | </li> | ||
<li> | <li>If cos (x + 40)° = 0.0872, what is the value of x? | ||
<ol type="a"> | <ol type="a"> | ||
<li> | <li>85°</li> | ||
<li> | <li>75°</li> | ||
<li> | <li>65°</li> | ||
<li> | <li>45°</li> </ol> | ||
</li> | </li> | ||
<li> | <li>A kite flies on a taut string of length 50 ''m'' inclined at an angle of 54° to the horizontal ground. The height of the kite above the ground is | ||
<ol type="a"> | <ol type="a"> | ||
<li> | <li>50 tan36°</li> | ||
<li> | <li>50 sin 54°</li> | ||
<li> | <li>50 tan 54°</li> | ||
<li> | <li>50 sin 36°</li> </ol> | ||
</li> | </li> | ||
<li>Question 26 | <li>Question 26 |
Revision as of 19:42, 12 October 2024
Objective Test Questions
- Express 302.10495 correct to five significant figures.
- 302.10
- 302.11
- 302.105
- 302.1049
- Simplify: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{3\sqrt{5} \times 4\sqrt{6}}{2\sqrt{2} \times 3\sqrt{3}}}
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt{2}}
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt{5}}
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2\sqrt{2}}
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2\sqrt{5}}
- In 1995, the enrolments of two schools X and Y were 1,050 and 1,190 respectively. Find the ratio of the enrolments of X to Y
- 50 : 11
- 15 :17
- 13 : 55
- 12 : 11
- Convert 3519 to a number in base 2
- 1011
- 10011
- 100011
- 11001
- The nth term of a sequence is Tn = 5 + (n - 1)2. Evaluate T4 - T6
- 30
- 16
- -16
- -30
- Mr Manu travelled from Accrs to Pamfokrom a distance of 720 km in 8 hours. What will be his speed in m/s?
- 25 m/s
- 150 m/s
- 250 m/s
- 500 m/s
- If ₦2,500.00 amounted to ₦3,500.00 in 4 years at simple interest, find the rate at which the interest was charged.
- 5%
- 7½%
- 8%
- 10%
- Solve for x in the equation: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{1}{x}+\tfrac{2}{3x}=\tfrac{1}{3}}
- 5
- 4
- 3
- 1
- Simplify: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{54k^2 - 6}{3k + 1 }}
.
- 6(1 − 3k²)
- 6(3k² − 1)
- 6(3k − 1)
- 6(1− 3k)
- Represent the inequality −7 < 4x + 9 ≤ 13 on a number line
- Option a
- Option b
- Option c
- Option d
- Make p the subject of the relation: q = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{3p}{r}+\tfrac{s}{ 2 }}
- p = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{2q-rs}{ 6 }}
- p = 2qr − sr − 3
- p = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{2qr-s}{ 6 }}
- p = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{2qr-rs}{ 6 }}
- If x + y = 2y – x + 1 = 5, find the value of x
- 3
- 2
- 1
- -1
- The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation.
- 12n – 6 = 0
- 3n – 12 = 0
- 2n – 35 = 0
- 5n – 33 = 0
- Solve the inequality: Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{-m}{2}-\tfrac{5}{4}\leq\tfrac{5m}{12}-\tfrac{7}{ 6 }}
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m\geq\tfrac{5}{4}}
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m\leq\tfrac{5}{4}}
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m\geq-\tfrac{1}{11}}
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle m\leq-\tfrac{1}{1 1}}
- The curved surface area of a cylindrical tin is 704 cm². If the radius of its base is 8 cm, find the height. [Take π = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{22}{7}}
]
- 14 cm
- 9 cm
- 8 cm
- 7 cm
- The lengths of the minor and major arcs of a circle are 54 cm and 126 cm respectively. Calculate the angle of the major sector
- 306°
- 252°
- 246°
- 234°
- A sector of a circle which subtends 172° at the centre of the circle has a perimeter of 600 cm. Find, correct to the nearest cm, the radius of the circle. [Take π = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{22}{7}}
]
- 120 cm
- 116 cm
- 107 cm
- 100 cm
- ** In the diagram, |QR| = 10 m, |SR| = 8 m, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang}
QPS = 30°, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang}
QRP = 90° and |PS| = x. Find x.
- 1.32 m
- 6.32 m
- 9.32 m
- 17.32 m
- In △XYZ, |XY| = 8cm, |YZ| = 10cm and |XZ| = 6cm. Which of these relations is true?
- |XY| + |YZ| = |XZ|
- |XY| - |YZ| = |XZ|
- |XZ|² = |YZ|² – |XY|²
- |YZ|² = |XZ|² – |XY|²
- ** In the diagram, O is the centre of the circle PQRS and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang}
PSR = 86°. If Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang}
PQR = x°, find x.
- 274
- 172
- 129
- 86
- ** The diagram is a circle centre O. If Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang}
SPR = 2m and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang}
SQR = n, express m in terms of n.
- M = Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tfrac{n}{2}}
- m = 2n
- m = n – 2
- m = n + 2
- ** In the diagram, MQ||RS, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang}
TUV = 70° and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ang}
RLV = 30°, Find the value of x
- 150°
- 110°
- 100°
- 95°
- ** In the diagram, MN,PQ, and RS are three intersecting straight lines. Which of the following statement(s) is/are true? I. t = y II. x + y + z + m = 180° III. x + m + n = 180° IV. x + n = m + z
- I and IV only
- II only
- III only
- IV only
- If cos (x + 40)° = 0.0872, what is the value of x?
- 85°
- 75°
- 65°
- 45°
- A kite flies on a taut string of length 50 m inclined at an angle of 54° to the horizontal ground. The height of the kite above the ground is
- 50 tan36°
- 50 sin 54°
- 50 tan 54°
- 50 sin 36°
- Question 26
- Option a
- Option b
- Option c
- Option d
- Question 27
- Option a
- Option b
- Option c
- Option d
- Question 28
- Option a
- Option b
- Option c
- Option d
- Question 29
- Option a
- Option b
- Option c
- Option d
- Question 30
- Option a
- Option b
- Option c
- Option d
- Question 31
- Option a
- Option b
- Option c
- Option d
- Question 32
- Option a
- Option b
- Option c
- Option d
- Question 33
- Option a
- Option b
- Option c
- Option d
- Question 34
- Option a
- Option b
- Option c
- Option d
- Question 35
- Option a
- Option b
- Option c
- Option d
- Question 36
- Option a
- Option b
- Option c
- Option d
- Question 37
- Option a
- Option b
- Option c
- Option d
- Question 38
- Option a
- Option b
- Option c
- Option d
- Question 39
- Option a
- Option b
- Option c
- Option d
- Question 40
- Option a
- Option b
- Option c
- Option d
- Question 41
- Option a
- Option b
- Option c
- Option d
- Question 42
- Option a
- Option b
- Option c
- Option d
- Question 43
- Option a
- Option b
- Option c
- Option d
- Question 44
- Option a
- Option b
- Option c
- Option d
- Question 45
- Option a
- Option b
- Option c
- Option d
- Question 46
- Option a
- Option b
- Option c
- Option d
- Question 47
- Option a
- Option b
- Option c
- Option d
- Question 48
- Option a
- Option b
- Option c
- Option d
- Question 49
- Option a
- Option b
- Option c
- Option d
- Question 50
- Option a
- Option b
- Option c
- Option d
Theory
Section A
- Question 1
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 2
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 3
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 4
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 5
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
Section B
- Question 6
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 7
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 8
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 9
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 10
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 11
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 12
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a
- Question 13
- Sub-question a
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question b
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question c
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question d
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question e
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question f
- Sub-question i
- Sub-question ii
- Sub-question iii
- Sub-question iv
- Sub-question v
- Sub-question a