L1 Math Quiz 1

Mohamed works in a cafe. One morning he sells 48 cups of tea and 12 cups of coffee. Write down the ratio of the number of cups of tea to the number of cups of coffee. Write your answer in its simplest form.

A customer buys four cups of tea. Johan and Tomorr put sugar in two of the cups of tea each, making all cups sweet. The customer picks one cup at random. What is the likelihood that the customer picks a cup of tea with sugar? Tick a box to show your answer.

• impossible

• unlikely

• even chance

• likely

• certain

Answer explanation

The likelihood that the customer picks a cup of tea with sugar is certain because all cups have sugar in them, so it is guaranteed that the customer will pick a cup with sugar.

Sam is a manager in an office. She wants to buy 14 new chairs. Each chair costs £73. Sam will also be charged 20% VAT on the cost of the chairs. Sam has £1200 to buy the chairs. Is £1200 enough to buy the 14 chairs?

Here is a garden and a pond. The garden and the pond are rectangular. Kayla is covering the garden with grass seed. She will not put any grass seed in the pond. One box of grass seed covers 15 m² of garden. Work out the number of boxes of grass seed Kayla needs to cover the garden.

Dave is going on holiday to Madrid. The temperature tomorrow in Madrid will be 21°C. Dave uses this rule to change the temperature into Fahrenheit (°F): Dave thinks the temperature in Madrid will be more than 70°F. Is Dave correct? Show why you think this.

Kai works in a call centre. The table shows the number of phone calls he receives each day. Monday: 240 Tuesday: 140 Wednesday: 185 Thursday: 80 Friday: 225 Draw a bar chart to display this information.

Seenal is a baker. She buys flour in 50 kg bags. The table shows the number of 50 kg bags of flour she used to make loaves in each of the last 4 weeks. Seenal will make 2400 loaves in week 5. Each of these loaves will need 250g of flour. Seenal works out the weekly mean number of 50 kg bags of flour used in these 5 weeks. She will use this figure for future orders. (a) Work out the weekly mean number of 50 kg bags of flour used in these 5 weeks.

Show a check of your calculation for the mean.

Gordon buys a new slide for his garden. His garden measures 6m by 7m. The space for the slide must be a rectangle, 3m by 1.5m, at least 2m away from the house, and at least 0.5m away from a fence or any other feature. Draw a space for the slide on the square grid below. Key 1 cm on the grid represents 50 cm in the garden.

Belinda asks 20 people "How many hours of TV did you watch last week?" Here are the results. Belinda wants to show these results in a frequency table. She will use 4 equal groups. The first group will start with 1 hour and the last group will end with 20 hours. Design and complete a suitable frequency table.