Study and practice Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.
The table gives the distribution of outcomes obtained when a die was rolled 100 times.
What is the experimental probability that it shows at most 4 when rolled again?
A8/25
B12/25
C13/25
D2/3
E17/25
View Explanation & Discuss
Question 2
waec1996
A bag contains 3 red, 4 black and 5 green identical balls. Two balls are picked at random, one after the other without replacement. Find the probability that one is red and the other is green
A\(\frac{2}{3}\)
B\(\frac{5}{11}\)
C\(\frac{5}{22}\)
D\(\frac{5}{24}\)
E\(\frac{5}{48}\)
View Explanation & Discuss
Question 3
waec1996
What percentage of observation lie outside interquartile range of any distribution?
A121/2%
B25%
C50%
D621/2 %
E75%
View Explanation & Discuss
Question 4
waec1996
The marks obtained by pupils of class are grouped as shown below; 0 - 4, 5 - 9,10 -14, 15 -19. Which of the following is/are not true? l. The mid values of the grouped marks are 2, 7, 12 and 17. II The class interval is 4. III The class boundaries are 0.5, 4.5, 9.5, 14.5 and 19.5
AI only
BII only
CIII only
DI and II only
EII and III only
View Explanation & Discuss
Question 5
waec1996
The cumulative frequency curve may be used to find the
Avariance
Bstandard deviation
Cmode
Dmedian
Emean
View Explanation & Discuss
Question 6
waec1996
The number of goals scored by a football team in 20 matches is shown in the table above
What is the modal goal scored?
Ao
B1
C2
D5
E7
View Explanation & Discuss
Question 7
waec1996
The number of goals scored by a football team in 20 matches is shown in the table above
What is the mean goal scored?
A0.75
B1.75
C1.9
D2
E2.15
View Explanation & Discuss
Question 8
waec1996
The angle of elevation of the top X of a vertical pole from a point P on a level ground is 60o. The distance from P to the foot of the pole is 55m. Without using tables, find the height of the pole.
A50/3m
B50m
C55√3m
D60m
E65m
View Explanation & Discuss
Question 9
waec1996
A town P is 150km from a town Q in the direction 050o. What is the bearing of Q from P?
A050o
B130o
C230o
D270o
E310o
View Explanation & Discuss
Question 10
waec1996
If tan x = \(2\frac{2}{5}\), find the value of sin x; 0 \(\leq\) x \(\leq\) 90o
A5/13
B5/12
C144/169
D12/13
E13/12
View Explanation & Discuss
Question 11
waec1996
If sin\(\theta\) cos\(\theta\), for 0o \(\leq\) θ \(\leq\) 360o, find the value of \(\theta\)
A45o, 225o
B135o, 315o
C45o, 315o
D135o, 225o
E45o, 135o
View Explanation & Discuss
Question 12
waec1996
In the diagram above, AB, CD and XY are straight lines intersecting at W. Find ∠CWX
A20o
B80o
C100o
D120o
E140o
View Explanation & Discuss
Question 13
waec1996
The trapezium PQRS parallel to SR,∠PQS = 34o and ∠SPQ = 2 ∠SRQ. Find the size of, SQR
A58o
B68o
C78o
D90o
E112o
View Explanation & Discuss
Question 14
waec1996
Two angles (a + 31) and (b - 49o) are adjacent angles on a straight line. Which of the following is true
Aa + b = 198o
Ba + b = 180o
Ca + b = 162o
Da + b = 100o
Ea + b = 80o
View Explanation & Discuss
Question 15
waec1996
In the diagram above, ∠SPQ = 79o. Find ∠SRQ
A11o
B391/2
C79o
D90o
E101o
View Explanation & Discuss
Question 16
waec1996
In the diagram above, KLMN is a cyclic quadrilateral. /KL/ = /KN/, ∠NKM = 55o and ∠KML = 40o. Find ∠LKM
A35o
B40o
C45o
D50o
E55o
View Explanation & Discuss
Question 17
waec1996
In the diagram above, PQ is a tangent to the circle MTN at T. What is the size of ∠MTN?
A52o
B54o
C66o
D72o
E128o
View Explanation & Discuss
Question 18
waec1996
In the diagram, ∠PMN = ∠PRQ and ∠PNM = ∠PQR. If /Pm/ = 3cm, /MQ/ = 7cm and /PN/ = 5cm, find /NR/
A1cm
B3cm
C31/2
D5cm
E6cm
View Explanation & Discuss
Question 19
waec1996
In the diagram above, /PQ/ = /PS/ and /QR/ = /SR/. Which of the following is/are true? i. the line PR bisects ∠QRS ii. The line PR is the perpendicular bisector of the line segment QS iii. Every point on PR is equidistant from SP and QP
AI only
BIII only
CI and II only
DI and III only
EI, II and III
View Explanation & Discuss
Question 20
waec1996
In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35o.Calculate ∠SQT
