Paper 1 Practice 9694/11 (Nov 2020)

INSTRUCTIONS

• Answer all questions.
• Use a black or dark blue pen.
• Write your name, centre number and candidate number in the boxes at the top of the page.
• Write your answer to each question in the space provided.
• Do not use an erasable pen or correction fluid.
• Do not write on any bar codes.
• You may use a calculator.
• Show your working. Where a final answer is incorrect or missing, you may still be awarded marks for correct steps towards a solution. In most questions, full marks will be awarded for a correct answer without any working. In some questions, however, you will not be awarded full marks if working needed to support an answer is not shown.

INFORMATION

• The total mark for this paper is 50.
• The number of marks for each question or part question is shown in brackets [ ].

At a particular car park the price for parking is based on the amount of time that the car will be parked for. The charge is 1¢ for every 2 minutes for stays of 3 hours or less. The charge is then 1¢ for every 3 minutes for any amount of time after that. Customers pay money into a machine which then issues a ticket for the amount of time that has been paid for. No change is issued.

Alexander is parking his car and needs to park for 2 hours 30 minutes, but only has a $1 coin.

How many additional minutes will Alexander pay for?

All 136 members of the Oblainda Club are obliged to buy a ticket for the Club’s Annual Dinner, costing $40, whether or not they attend. In addition, each member has the option to buy one guest ticket for $50. No guest may attend without the member who has bought the ticket.

183 people attended this year’s dinner, including all the guests who had tickets. The total paid for tickets was $9140.

How many members did not attend this year’s dinner?

George works in an office entering data into a computer system. He can enter the information for 25 records in 1 hour and works for 4 hours each day from Monday to Friday, starting at 09:00.

The company that George works for has the option of sending George on a training course on Monday. If he goes on the course then he will not be able to enter any data that day but will be able to enter the information for 35 records each hour once he has been trained.

(For 3b) The company currently pays George $10.00 per hour but will increase his pay to $10.50 per hour if he attends the course. It costs $50 to send George on the course and the company will also pay George at his current rate of $10.00 per hour for the 4 hours that he spends on the course.

If George goes on the training course, at what time and on which day will he have entered the same number of records as he would have done had he not gone on the course?

How many records does George need to enter when he returns from the course for the company to have saved money by sending him on the course?

Each week Carol, a candlemaker, has to send 216 candles to a candle seller. The candles are cubes with sides of length just less than 10 cm. She can pack them tightly into boxes that are 30 cm × 30 cm × 30 cm, or boxes that are 20 cm × 30 cm × 40 cm, or a combination of the two types of box. Carol can buy both types of box for $0.40 each.

Delivery charges are $5.00 for each 30 × 30 × 30 box and $4.60 for each 20 × 30 × 40 box. These delivery charges are fixed, regardless of how many candles are in the box.

What is the least amount Carol must pay each week for boxes and delivery?

Carol’s weekly order goes down to 200 candles. What is the least amount Carol must now pay each week for boxes and delivery?

A display of lights contains three different colours of bulbs: red, blue and white. There are equal numbers of each colour of bulb. The amount of time that the bulbs stay on can be varied. However, the bulbs always come on according to the following pattern:

• red bulbs come on every 2 seconds;
• blue bulbs come on every 3 seconds;
• white bulbs come on every 5 seconds.

Initially, the display is set so that all the bulbs flash momentarily when they come on. All the bulbs flash at the same time at 12:00.

How many more times will all the bulbs flash at the same time before 12:05?

The display is changed so that now the white bulbs stay on for 4 seconds when they come on (and therefore are off for 1 second before coming on again). The red and blue bulbs continue to flash as before. All the bulbs come on at 13:00. What proportion of the bulbs are on exactly 8 seconds after 13:00?

The display is changed again. Now all the bulbs stay on for 1 second when they come on. All the bulbs come on at 14:00. (i) For how many seconds during the first 30 seconds are no bulbs on?

(ii) For how many seconds during the first 30 seconds are exactly two bulbs on?