WAEC SSCE - General Mathematics - 1995 (Objective)
Question 1 Report
Find (101\(_2\))\(^2\), expressing the answer in base 2.
Answer Details
To find (1012)2, we need to square the binary number 1012. We can use the standard multiplication method taught in primary school, but we only need to remember two things: 1) 0 x anything = 0, and 2) 1 x anything = the same anything. Here's the calculation:
101 (this is 1012) x 101 (this is also 1012) ----- 101 101 --- 11001 (this is the result of (1012)2 in binary)
Therefore, the answer is 11001, which is (2510)2.
Question 2 Report
The bearing of two points Q and R from a point P are 030° and 120° respectively, lf /PQ/ = 12 m and /PR/ = 5 m, find the distance QR.
Answer Details
Question 3 Report
Use the graph of y = 3x\(^2\) + x - 7 above to answer the question
Find the roots of the equation y=3x\(^2\) + x - 7
Answer Details
Question 4 Report
In the diagram above; O is the centre of the circle and |BD| = |DC|. If ?DCB = 35°, find ?BAO.
Answer Details
Question 5 Report
A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
Find the total surface area of the container
Answer Details
Question 6 Report
Find the median of the following numbers 2.64, 2.50, 2.72, 2.91 and 2.35.
Answer Details
Question 7 Report
Factorize the expression x(a - c) + y(c - a)
Answer Details
Question 8 Report
Question 9 Report
The positions of two countries P and Q are (15°N, 12°E) and (65°N, 12°E) respectively. What is the difference in latitude?
Answer Details
Question 10 Report
If \(y \propto \frac{1}{x^2}\) and x = 3 when y = 4, find y when x = 2.
Answer Details
Question 11 Report
Use the graph of y = 3x\(^2\) + x - 7 above to answer the question
What is the minimum value of y?
Answer Details
Question 12 Report
What is the smaller value of x for which x\(^2\) - 3x + 2= 0?
Answer Details
Question 13 Report
If R = [2, 4, 6, 7] and S = [1, 2, 4, 8], then R∪S equal
Answer Details
Question 14 Report
Answer Details
Question 16 Report
In the diagram above, AB//CD, the bisector of ?BAC and ?ACD meet at E. Find the value of ?AEC
Answer Details
Question 17 Report
In ?ABC above, BC is produced to D, /AB/ = /AC/ and ?BAC = 50o. Find ?ACD
Answer Details
Question 18 Report
Without using tables, find the value of \(\frac{\sin 20°}{\cos 70°} + \frac{\cos 25°}{\sin 65°}\)
Answer Details
Question 19 Report
Which of the following could be the inequality illustrated in the sketch graph above?
Answer Details
Question 20 Report
In the diagram above, PQ is parallel to TU, ?PQR = 50°, ?QRS = 86° and ?STU = 64°. Calculate the value of x.
Answer Details
Question 21 Report
What is the mode of the numbers 8, 10, 9, 9, 10, 8, 11, 8, 10, 9, 8 and 14?
Answer Details
Question 22 Report
By selling some crates of soft drinks for N600.00, a dealer makes a profit of 50%. How much did the dealer pay for the drinks?
Answer Details
Question 23 Report
Answer Details
Question 24 Report
In the diagram above, ?PRQ = 90°, ?QPR = 30° and /PQ/ = 10 cm. Find y.
Answer Details
Question 25 Report
If log\(_{10}\) x = \(\bar{2}.3675\) and log\(_{10}\) y = \(\bar{2}.9738\), what is the value of x + y, correct lo three significant figures?
Answer Details
Question 26 Report
A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1m\(^3\)]
Answer Details
Question 27 Report
The angle of a sector of a circle is 108°. If the radius of the circle is 31/2cm, find the perimeter of the sector
Answer Details
Question 28 Report
Solve the following simultaneous equations: x+ y = 3/2; x - y = 5/2 and use your result to find the value of 2y + x
Answer Details
Question 29 Report
Solve the inequality: \(\frac{1}{3}(2x - 1) < 5\)
Answer Details
Question 30 Report
Answer Details
Question 31 Report
In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC. Calculate |EC|
Answer Details
Question 32 Report
A hollow sphere has a volume of kcm3 and a surface area of kcm2. Calculate the diameter of the sphere.
Answer Details
Question 33 Report
A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
What is the volume of the container?
Answer Details
Question 34 Report
Answer Details
Question 35 Report
Answer Details
Question 36 Report
In the diagram above, AB//CD. What is the size of the angle marked x?
Answer Details
Question 37 Report
In the diagram above, the value of angles b + c is
Answer Details
Question 38 Report
Solve the equation (x +2)(x - 7) = 0
Answer Details
Question 40 Report
The mean of 20 observations in an experiment is 4, lf the observed largest value is 23, find the mean of the remaining observations.
Answer Details
Question 41 Report
Answer Details
Question 42 Report
The diagram above shows a cone with the dimensions of its frustrum indicated. Calculate the height of the cone.
Question 43 Report
Find the total surface area of solid circular cone with base radius 3cm and slant height 4cm. [Take π = 22/7]
Answer Details
Question 44 Report
Which of the following angles is an exterior angle of a regular polygon?
Answer Details
Question 45 Report
A 120° sector of a circle of radius 21cm is bent to form a cone. What is the base radius of the cone?
Answer Details
Question 46 Report
Find the value(s) of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)
Answer Details
Question 47 Report
The diagonals AC and BD of a rhombus ABCD are 16cm and 12cm long respectively. Calculate the area of the rhombus.
Answer Details
Question 48 Report
