PKA MATH 0580 PAPER 4

Kristian and Stephanie share some money in the ratio 3:2.

Kristian receives $72.

Work out how much Stephanie receives.

(correct to nearest dollar)

Based on Question (1),

Kristian spends 45% on his $72 on a computer game.

Calculate the price of the computer game.

(Give your answer correct to 2 decimal places)

 Based on Question (1),

Kristian also buys a meal for $8.40.
Calculate the fraction of the $72 Kristian has left after buying the computer game and the meal.

Give your answer in its lowest terms

Based on Question (1),

Stephanie buys a book in a sale for $19.20.

This sale price is after a reduction of 20%.

Calculate the original price of the book. (correct to nearest dollar)

Boris invests $550 at a rate of 2% per year simple interest.

Calculate the value of the investment at the end of 10 years.

(correct to nearest dollar)

Marlene invests $550 at a rate 1.9% per year compound interest.

Calculate the value of the investment at the end of 10 years.

(correct to nearest dollar)

Hans invests $550 at a rate of x% per year compound interest.

At the end of 10 years, the value of the investment is $638.30, correct to the nearest cent.

Find the value of x.

(Round off your answer into 3 significant figures)

200 students estimate the volume, V m³, of a classroom.

The cumulative frequency diagram shows their results.

Refer to diagram given

Use the graph to find an estimate of the median.

200 students estimate the volume, V m³, of a classroom.

The cumulative frequency diagram shows their results.

Refer to diagram given

Use the graph to find an estimate of the interquartile range.

200 students estimate the volume, V m³, of a classroom.

The cumulative frequency diagram shows their results.

Refer to diagram given

Use the graph to find an estimate of the 60th percentile.