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Factorize the expression 2s\(^2\) - 3st - 2t\(^2\).
Simplify: \(\frac{\log \sqrt{27}}{\log {81}}\)
Simplify: \(\frac{4^{-\frac{1}{2}} \times 16^{\frac{3}{4}}}{4^{\frac{1}{2}}}\)
The nth term of a sequence is given by (-1)\(^{n-2}\) x 2\(^{n-1}\). Find the sum of the second and third terms.
A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement
Convert 89\(_{10}\) to a number in base two.
Solve the inequality: 3m + 3 > 9
Simplify: \(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)
S = {1, 2, 3, 4, 5, 6}, T = {2,4,5,7} and R = {1,4, 5}, and (S∩T) ∪ R
The bar chart shows the distribution of marks in a class test. How many students took the test?
From the figure, calculate TH in centimeters
In the diagram, QPS = SPR, PR = 9cm. PQ = 4cm and QS = 3cm, find SR.
In the figure, PT is tangent to the circle at U and QU/RS if TUR = 35º and SRU = 50º find x
In the diagram, QP//ST:PQR = 34o qrs = 73o and Rs = RT. Find SRT
In the diagram, O is the centre of the circle and POQ a diameter. If POR = 96o, find the value of ORQ.
In the diagram, PQRS is a circle with O as centre and PQ||RT. If RTS = 32°. Find PSQ
PQRST is a regular pentagon and PQVU is a rectangle with U and V lying on TS and SR respectively as shown in the diagram. Calculate TUP