Year 11 Paper 3: Mixed Topic Review

Question 1 [1 marks]

Quadratics

Write down the coordinates of the turning point of the graph of y = x^2.

Question 2 [1 marks]

Area, Volume and Measures

Convert 2 kg to g

Question 3 [1 marks]

Fractions, Decimals and Percentages

Which list shows 5/8, 3/4, 1/3, 7/12 in order from largest to smallest?

Question 4 [2 marks]

Area, Volume and Measures

A circle has diameter 10 cm. Work out the circumference of the circle. Give your answer as a multiple of pi.

Question 5 [2 marks]

Pythagoras and Trigonometry

A right-angled triangle has two shorter sides of length 9 cm and 12 cm. Diagram: right-angled triangle with the right angle between the two shorter sides, marked 9 cm and 12 cm, hypotenuse unmarked labelled x cm. Calculate the length of the hypotenuse.

Question 6 [2 marks]

Angles and Geometrical Reasoning

Lines l and m are parallel and are crossed by a straight transversal. Angle y is in the corresponding position to the 118 degree angle marked above line l.

Question 7 [2 marks]

Statistics and Probability

The completed two-way table from Priya's car park survey is shown below.

Question 8 [2 marks]

Number and Calculation

Here are five numbers: -2.5 0.3 -0.35 2 -3 Write down these numbers in order of size, starting with the largest.

Question 9 [3 marks]

Graphs and Coordinates

The table shows some values for y = x + 4.

Question 10 [4 marks]

Fractions, Decimals and Percentages

(Non-calculator)

Work out 10% of 340.

Work out 25% of 60.

Work out 30% of 150.

Question 11 [1 marks]

Number and Calculation

Round 4,862 to the nearest 100.

Question 12 [1 marks]

Area, Volume and Measures

A train is due to arrive at 9:10 but arrives 15 minutes early. Work out the actual arrival time.

Question 13 [1 marks]

Number and Calculation

Round 583 to the nearest 10.

Question 14 [1 marks]

Graphs and Coordinates

The diagram shows a coordinate grid. Point J is marked with a cross. Write down the coordinates of point J.

Question 15 [2 marks]

Statistics and Probability

On a particular day, the probability of rain is 3/10 and the probability of it being cloudy (with no rain) is 2/5. The day can only be rainy, cloudy or sunny.

Work out the probability that the day is sunny.

Work out the probability that the day is either rainy or sunny (but not cloudy).

Question 16 [2 marks]

Number and Calculation

Zara was asked to list all the ways to choose 2 different toppings for a pizza from mushroom (M), pepper (P), onion (O) and olives (L), where the order the toppings are chosen in does not matter. Her working is shown below: MP, MO, ML, PM, PO, PL, OM, OL, OM, LM She has concluded there are 10 different pizzas. Explain what is wrong with Zara's list, and work out the correct number of different pizzas.

Question 17 [2 marks]

Statistics and Probability

A fair six-sided dice is rolled twice. Calculate the probability of getting a 6 on both rolls.

Question 18 [2 marks]

Fractions, Decimals and Percentages

Simplify 56/90 to lowest terms.

Question 19 [2 marks]

Number and Calculation

A boutique sells jackets in two colours (Blue, Red) and hats in three styles (Cap, Beanie, Bobble). Two of the six possible jacket-and-hat combinations are already known: Blue Cap and Red Bobble. Using a table with jacket colour as rows and hat style as columns, complete the table to show the remaining four combinations, then state the total number of different outfits possible.

Question 20 [2 marks]

Angles and Geometrical Reasoning

Mark a point P on a straight line. Using only a ruler and compasses (no protractor), construct an angle of 60 degrees at P.

Question 21 [2 marks]

Number and Calculation

Erin ran 3.75 km before school on Monday and 2.6 km on Tuesday. Work out the total distance she ran over the two days.

Question 22 [3 marks]

Graphs and Coordinates

Given points A(-1, 2), B(3, 5) and C(6, 1) are three consecutive vertices of a parallelogram ABCD in that order. Find the coordinates of D.

Question 23 [2 marks]

Number and Calculation

A number is 4.6, correct to 2 significant figures. Write down the lower and upper bounds using inequalities.

Question 24 [2 marks]

Number and Calculation

Sera adds 4,389 + 2,176 and gets 6,545. Use the inverse to check whether her answer is correct. Carry out the check and state whether she is correct.

Question 25 [3 marks]

Area, Volume and Measures

Write 2.4 litres as a number of millilitres.

Question 26 [3 marks]

Number and Calculation

Work out 6 / 2 x (1 + 2).

Question 27 [3 marks]

Angles and Geometrical Reasoning

A ship sails from a harbour with a displacement vector (12, 5) km. It then changes course and sails with a displacement vector (-4, 9) km.

Find the total displacement of the ship from the harbour as a column vector.

Calculate the total distance of the ship from the harbour, giving your answer correct to the nearest 0.1 km.

Question 28 [2 marks]

Number and Calculation

A town records its weekly rainfall as 12 mm, correct to the nearest mm. Write the error interval for the rainfall, and state the least possible value.

Write the error interval for the rainfall.

State the least possible value of the rainfall.

Question 29 [3 marks]

Area, Volume and Measures

A closed cylinder has radius 4 cm and height 10 cm. Work out the total surface area of the cylinder. Give your answer correct to 3 significant figures.

Question 30 [1 marks]

Statistics and Probability

The bar chart compares the total sales, in £000s, of Company A and Company B last year. Company A had sales of 42 (thousand pounds) and Company B had sales of 48 (thousand pounds).