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Mathematics Past Questions


Question 5221:


A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the probability of drawing a red ball and a white ball if the balls are drawn without replacement.

A. \(\frac {1}{3}\)
B. \(\frac {2}{9}\)
C. \(\frac {2}{3}\)
D. \(\frac {8}{33}\)


Question 5222:


The ages of students in a small primary school were recorded in the table below.

Age 5-6 7-8 9-10
Frequency 29 40 38





Estimate the median.

A. 7.725
B. 6.225
C. 7.5
D. 6.5


Question 5223:


Find the matrix A

A \(\begin {bmatrix} 0 & 1\\2 & -1 \end {bmatrix}\) = \(\begin {bmatrix} 2 & -1\\1 & 0 \end {bmatrix}\)



A. \(\begin {bmatrix} 2 & 1\\-^1/_2 & -^1/_2 \end {bmatrix}\)
B. \(\begin {bmatrix} 0 & 1\\^1/_2 & ^1/_2 \end {bmatrix}\)
C. \(\begin {bmatrix} 2 & 1\\0 & -1 \end {bmatrix}\)
D. \(\begin {bmatrix} 2 & 1\\^1/_2 & -2 \end {bmatrix}\)


Question 5224:


How many students scored at least 25%

A. 16
B. 19
C. 3
D. 8


Question 5225:


If \(-2x^3 + 6x^2 + 17x\) - 21 is divided by \((x + 1)\), then the remainder is

A. 32
B. 30
C. -30
D. -32






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