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Evaluate \(\log_{10} 25 + \log_{10} 32 - \log_{10} 8\)
Simplify: \((\frac{16}{81})^{\frac{1}{4}}\)
The nth term of a sequence is given by 3.2\(^{n-2}\). Write down the first three terms of the sequence.
A bricklayer measured the length of a wall and obtained 4.10m. If the actual length of the wall is 4.25m, find his percentage error.
If x varies over the set of real numbers, which of the following is illustrated in the diagram above?
Simplify (\(\frac{3}{4} + \frac{1}{3}) \times 4\frac{1}{3} \div 3\frac{1}{4}\)
Let U = {1, 2, 3, 4}, P = {2, 3} and Q = {2, 4}. What is (P∩Q)'?
In the figure, if XZ is 10cm, calculate RY in cm
In the figure, PQR is a semicircle while PQ and QR are chords. QS is the perpendicular from Q to the diameter PR. What is the expression for QS?
In the figure, TSP = 100° and PRQ = 20°. Find PQR.
The sketch is the curve of y = ax2 + bx + c. Find a, b and c respectively
A student has 5 courses to take from Mathematics and physics. There are 4 courses in Mathematics and 3 in Physics which he can choose his courses so that he takes exactly two courses in Physics?
Five people are to be arranged in a row for a group photograph. How many arrangements are there if a married couple in the group insist on sitting next to each other?
The probability of an event P is \(\frac{3}{4}\) while that of another event Q is \(\frac{1}{6}\). If the probability of both P and Q is \(\frac{1}{2}\). What is the probability of either P or Q.
\(\begin{array}{c|c} \text{No. of children} & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text{No. of families} & 7 & 11 & 6 & 7 & 7 & 5 & 3 \end{array}\)
Find the mode and median respectively of the distribution above
\(\begin{array}{c|c} x & 2 & 4 & 6 & 8\\ \hline f & 4 & y & 6 & 5 \end{array}\)
If the mean of the above frequency distribution is 5.2, find y