Question 1
Complete each calculation below.
Mathematics · WJEC 3300 · Unit 2: Calculator-allowed · Foundation · November 2021
Complete each calculation below.
A card is chosen at random from a set of four cards.
In each question, write numbers on the four cards to make each of the following statements true.
It is certain that the chosen card will be a 5.
[1]
It is an even chance that the chosen card will be a 3.
[1]
It is unlikely that the chosen card will be a 2.
[1]
Write forty thousand and sixty-five in figures.
[1]
Round 5378 to the nearest hundred.
[1]
A shape has: • four sides, • all sides the same length, • two obtuse angles and two acute angles.
Circle the special name for this shape.
rectangle square rhombus kite trapezium
[1]
In the grid below:
• each column must add to 250, • each row must add to 250.
Complete the grid.
| .......................... | 60 | 78 | .......................... |
| 26 | .......................... | 27 | 112 |
| 95 | 105 | .......................... | 8 |
| 58 | 0 | 103 | .......................... |
Space for working:
[3]
Describe the rule for continuing the following sequence.
77, 64, 51, 38, 25,...
Rule:
[1]
A dog is x years old. Another dog is 2 years younger.
Write down, in terms of x, the age of the younger dog.
[1]
Gwenan writes down four numbers:
64 89 83 26
Calculate the mean of Gwenan’s numbers.
[3]
Every number in Gwenan’s list is increased by 1.
What is the mean of her new list of numbers?
[1]
Find the value of each of the following.
Find the coordinates of the midpoint of the line AB.
[2]
Find the value of 3f + 2g when f = 5·8 and g = −3·7.
[2]
A company produces 440 boxes of paper clips each day.
Each box contains between 320 and 330 paper clips.
Calculate the approximate total number of paper clips produced in 200 days. Give your answer to the nearest ten million.
You must show all your working.
[4]
Thirty numbers are recorded in the grouped frequency table below.
| Group | 1 to 20 | 21 to 40 | 41 to 60 | 61 to 80 | 81 to 100 |
| Frequency | 3 | 8 | 7 | 6 | 6 |
It is decided that the same thirty numbers should be recorded in a table with larger group widths.
This new table is shown below, but only one frequency has been given.
| Group | 1 to 30 | 31 to 60 | 61 to 90 |
| Frequency | 12 |
What is the smallest possible frequency of the 1 to 30 group?
[1]
What is the greatest possible frequency of the 31 to 60 group?
[1]
A camera was switched on at
21:45 on 20th March, 2021.
It was left continuously filming until the battery ran out.
The battery lasted for exactly 2 days and 10 hours.
At what time and on which date did the battery run out?
Battery ran out at……........ …:……........ … on……........ … March 2021.
[2]
Helen says,
Is she correct?
You must show all your working.
[2]
Give your answer correct to 3 decimal places.
[2]
Evaluate
Give your answer correct to the nearest whole number.
[3]
Geraint is running a game in a school fair. A large number of balls are placed in a box. Each of the balls is one of three colours: bronze, silver or gold. In the game, a ball is chosen at random from the box. The table below shows the probability of choosing a bronze ball and the probability of choosing a silver ball.
| Colour | Bronze | Silver | Gold |
| Probability | 0·68 | 0·22 |
In the game, each person pays £2 to choose a ball at random from the box. The ball is then returned to the box.
The person wins £3 if a silver ball is chosen. The person wins £8 if a gold ball is chosen. There is no prize for choosing a bronze ball.
100 people each play the game once.
How much profit would you expect Geraint to make?
You must show all your working.
[5]
The paper as printed
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