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G10 Mathematics 2025-01

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You are going to invest R7 000 and you have a choice of two bank accounts:

  • Account 1 is a simple interest account paying 7% interest per annum.
  • Account 2 is a compound interest account paying 5% interest per annum.

If you are to withdraw your money after 12 years, which account would have the most money?

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While travelling abroad, an excited student visits the Apple Store. This person wants a new MacBook but does not have the required $2199. The bank offers to loan the student the money for two years, but charges interest at a rate of 15% p.a. How much more expensive will the student pay than cash? Use the simple interest formula.
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Candice wants to invest some money at a compound interest rate of 14% p.a. How much money should be invested if she wants to reach a sum of R25 100 in two years' time? Round up your answer to the nearest rand.

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 is the base of a ramp laid on level ground. The ramp is 230 cm long and 20 cm high, as shown in the diagram. Work out the size of angle 

A ramp PQ leaning against wall QR. The ramp that creates an angle x with the ground and length 230 cm to the top of the wall.

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Max is holding the string of a kite which is flying 30 metres above the ground.

His height is 1,5 metres.

The string is straight and its length is 35 metres.

Calculate the angle  between the string and the ground.

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The area of the rectangle is 

A rectangle with length 16 cm and a diagonal that creates angle x

Work out the size of angle .

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For a right-angled triangle, match the following trigonometric ratios to their definitions:

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What is the height of the kite from the ground in the following diagram?

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Given the diagram below, calculate how tall the lighthouse is?

Note: Write down only the value without the units. Round your answer two decimal places.

A light house with someone standing a distance away from it.

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The diagram shows a quadrilateral .

Calculate the length of . Round off to two decimal places

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