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Aptitude test- Section 1 - Number theory and computation

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CSEC Mathematics
Section 1: Number Theory and Computation
Instructions: Please complete all ten (10) questions by writing full answers using pen and paper.
Tablets with stylus support are also permitted. Then scan or take a stable photo of the answers
and upload the file to your Google Classroom folder.
(1) A flight departs on a journey at 0800 hours. After 30 minutes of flying time the journey is a
quarter completed. Estimate the arrival time of the flight assuming the flight was at constant speed
throughout the journey.
(2) In a cricket game, at the end of the fifth over the run rate of a team is 4.6 runs per over. If
the team continues to score at the same rate, determine the projected score at the end of the
fifteenth over.
(3) Rearrange the following set of real numbers in descending order: 1.1, 7/2, √2,1.45, 𝜋.
(4) What is the H.C.F. (Highest Common Factor) and L.C.M. (Lowest Common Multiple) of 8
and 12?
(5) Out of a deck of 52 cards, I am holding 13 cards. Express the number of cards held as:
a.
b.
c.
A fraction,
A percentage and
A decimal of the total number of cards.
(6) Explain what is a rational number? Is √3 a rational number?
(7) Write 324043 in scientific notation.
(8) Starbucks has three cup sizes: Tall (12 oz), Grande (16 oz) and Venti (24 oz). Which ratio of
volume is larger: Grande to Tall or Venti to Grande?
(9) I depart at Toco’s Lighthouse at 2200 hours and arrive home in Point Fortin at 0330 hours.
How long did the entire journey take in minutes?
(10) What is the next number in the following sequence? 1, 4, 27, …?
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