Cambridge Past Paper Questions

Figure 1 shows the Human Development Index (HDI) for three countries.

Figure 2 shows global energy consumption by source in 2019.

Figure 3 shows the growth of urban populations in different parts of the world between 1950 and 2050.

Figure 4 shows the total population of two countries, A and B, between 1950 and 2020.

Figure 5 shows the predicted change in global sea level by 2100.

This question is about the consequences of economic development.

This question is about the causes and impacts of different natural hazards.

Study Source A and answer the questions that follow. Source A: From a modern history textbook, describing the Treaty of Versailles. 'The Treaty o...

Explain two ways in which the League of Nations aimed to prevent future wars.

Describe the key features of Stalin's Five-Year Plans.

Study Sources B and C. How far do Sources B and C agree about the reasons for the construction of the Berlin Wall?

'The Cuban Missile Crisis was the most dangerous moment of the Cold War.' How far do you agree with this statement? Explain your answer.

Option A: The USA, 1918–41

Question 1 (b) Explain why the USA became involved in the Vietnam War.

Question 1 (c) 'The main reason for the collapse of détente was the Soviet invasion of Afghanistan in 1979.' How far do you agree with this stateme...

Answer EITHER Question 1 OR Question 2. Indicate which question you are answering by marking the box (⌧). If you change your mind, put a line throu...

Question 2 (a) Describe two features of collectivisation in the Soviet Union during the 1930s.

Question 2 (b) Explain why Stalin introduced the Five-Year Plans.

Question 2 (c) 'The main reason for the growth of opposition to Soviet control in Hungary in 1956 was the economic situation.' How far do you agree...

Option B: The Soviet Union, 1924–53

‘The impact of the Great Depression was the most important reason for the growth of support for the Nazi Party between 1929 and 1932.’ How far do y...

'The Spanish Armada was the greatest threat to Elizabeth I's reign.' How far do you agree with this statement?

Answer EITHER Question 6 OR Question 7 OR Question 8. If you answer Question 6, ignore Question 7 and Question 8.

Which of the following numbers is prime? A 21 B 27 C 29 D 33

The diagram shows a rectangle. The length of the rectangle is $(3x+1)$ cm. The width of the rectangle is $(x+2)$ cm. The perimeter of the rectangle...

The diagram shows a quadrilateral ABCD. Angle ABC = 90°, Angle BCD = 110°, Angle CDA = 80°. Work out the size of angle DAB. [Figure 1]

Here are the ages, in years, of 5 teachers: 28, 35, 42, 35, 50. Work out the mean age of these teachers.

Simplify fully (3x³y⁴)²

The price of a house increased by 20% in 2022. It then decreased by 15% in 2023. The price of the house at the end of 2023 was £340 000. Work out t...

Here is a list of numbers: 2, 5, 5, 6, 8, 9, 10.

Find the value of $\sqrt{67.24}$.

The price of a car is $£12000$. In a sale, the price is reduced by 15%. Calculate the sale price of the car.

A solid metal sphere has radius $r=5$ cm. The formula for the volume of a sphere is $V = \frac{4}{3}\pi r^3$.

The histogram shows information about the heights of 70 plants.

Make x the subject of the formula P = 3x + ax/2

The region R, shown shaded in the diagram, is bounded by the straight line with equation y = 2x + 1, the x-axis and the lines x = 0 and x = 3. Work...

Simplify (5x^2y^−3)^2 / (10x^−3y^2)

The graph of y = f(x) is shown on the grid.

The curve with equation y = x^2 + 5x – 24 intersects the x-axis at the points A and B. Find the coordinates of A and B.

There are 8 counters in a bag. 3 of the counters are red. 5 of the counters are blue. Rachel takes at random 2 counters from the bag. Work out the ...

A and B are two points. The coordinates of A are (3, 7). The coordinates of B are (5, –4). Find the length of AB. Give your answer correct to 3 sig...

Here are two functions. f(x) = 3x – 1 and g(x) = x^2 + 2

The diagram shows a regular hexagon ABCDEF. The vectors AB = a and BC = b.

Given that x = 2^k and y = 2^m.

Given that 2^(2x – 1) = 8^(4 – y) and 3^(x + 1) = 9^(y + 3). Work out the value of x and the value of y.

The diagram shows a solid, made from a hemisphere and a cone. The hemisphere has radius r cm. The cone has radius r cm and height h cm. The total v...

The point $A$ has coordinates $(3, 5)$ The point $B$ has coordinates $(-1, 8)$ Calculate the gradient of $AB$