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Find the next two terms of the sequence
1, 5, 14, 30, 55, ...
lf \(log_q p= r\), express p in terms of q and r
Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm
If \(\left(\frac{1}{4}\right)^{(2-y)} = 1\), find y.
In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS
Find the area of a rectangle of length 4cm and whose diagonal is 8cm, (Leave your answer in surd form)
Simplify \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div16\frac{1}{2}\)and correct your answer to the nearest whole number
There are m boys and 12 girls in a class. What is the probability of selecting at random a girl from the class?
Find the value of x in the diagram
In the diagram, R\(\hat{P}\)Q = Q\(\hat{R}\)Y, P\(\hat{Q}\)R = R\(\hat{Y}\)Q, |QP| = 8 cm, |QY| = 4 cm, and |RY| = 5 cm. Find |QR|.
If \(y = 23_{five} + 101_{three}\), find y, leaving your answer in base two
1. Evaluate \( 202^2_{three} - 112^2_{three}\)
In a class of 40 students, each student offers at least one of physics and chemistry. If the number of students that offer physics is three times the number that offer both subjects, and the number that offer chemistry is twice the number that offer physics, find the number of students that offer physics only.
Find x and y, respectively, in the subtraction above carried out in base 5.