Foundation Grade 3 Mini Test B

Question 1 [1 marks]

Statistics and Probability

The table shows the favourite school lunch of 38 pupils. Lunch: Sandwiches, Pasta, Pizza, Salad Frequency: 7, 12, 15, 4 Write down the modal favourite lunch.

Question 2 [1 marks]

Linear Algebra

Solve x / 4 = 6

Question 3 [1 marks]

Area, Volume and Measures

Shape A has a length of 5 cm. The corresponding length on a mathematically similar shape B is 20 cm.

Question 4 [2 marks]

Indices and Standard Form

Simplify each expression, leaving your answer as a single power.

b^7 / b^2

c^6 / c^6

Question 5 [2 marks]

Sequences

Here are the first five terms of a sequence. 2, 5, 7, 12, 19

Explain how each term of the sequence, after the first two, is found from the previous two terms.

Work out the next term in the sequence.

Question 6 [2 marks]

Area, Volume and Measures

A circle has radius 2.5 m. Calculate the circumference of the circle. Give your answer correct to 2 decimal places.

Question 7 [3 marks]

Pythagoras and Trigonometry

The diagram shows a right-angled triangle ABC. The right angle is at B, and angle A is marked. AB is the horizontal base, BC is the vertical side, and AC is the sloping side joining A to C.

Which side is the hypotenuse?

Which side is opposite angle A?

Which side is adjacent to angle A?

Question 8 [3 marks]

Graphs and Coordinates

A straight line has equation 3x - 2y = 12.

Find the coordinates of the point where the line crosses the x-axis.

Find the coordinates of the point where the line crosses the y-axis.

Draw the graph of 3x - 2y = 12 on the grid.

Question 9 [3 marks]

Statistics and Probability

For each situation below, state whether you would expect positive correlation, negative correlation or no correlation between the two quantities.

The number of pages in a book and the weight of the book.

The age of a car and its value in £.

A person's shoe size and their favourite colour.

Question 10 [6 marks]

Area, Volume and Measures

The diagram shows an L-shaped courtyard. The bottom edge is 10 m, the left-hand edge is 7 m, the top edge is 6 m and the lower right-hand edge is 4 m. All corners are right angles.

Work out the area of the courtyard.

Work out the perimeter of the courtyard.

Question 11 [2 marks]

Graphs and Coordinates

Plot the three points from the table on graph paper and draw the straight line joining them. x: -3, 0, 6 y: 4, 3, 1

Question 12 [2 marks]

Statistics and Probability

A frequency table for number of goals scored by a school team in matches is shown. Goals: 0-1, 2-3, 4-5 Frequencies: 3, 6, 1 Find the modal class.

Question 13 [3 marks]

Area, Volume and Measures

A student's working to find the area of a parallelogram with base 11 cm and perpendicular height 8 cm is shown below. Area = 11 + 8 = 19 cm^2

Identify the error in the student's method.

Work out the correct area of the parallelogram.

Question 14 [3 marks]

Statistics and Probability

A bakery asked 60 customers whether they bought bread and whether they bought cake. The completed two way table is below. | Bought cake | Did not buy cake | Total ------------- | ----------- | ---------------- | ----- Bought bread | 20 | 10 | 30 No bread | 15 | 15 | 30 Total | 35 | 25 | 60 Work out the probability that a customer bought cake given that they did not buy bread. Give your answer as a fraction in lowest terms.

Question 15 [3 marks]

Area, Volume and Measures

A cake recipe uses 0.75 kg of flour and 350 g of sugar. Work out the total mass of flour and sugar in kilograms.

Question 16 [3 marks]

Sequences

a) Write down the nth term of the sequence -2, 1, 4, 7, ... b) Work out the 10th term.