Questions and Worked Solutions for Edexcel GCSE Mathematics November 2020 Paper 1MA1/3H (Calculator)

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**Questions And Worked Solutions For Edexcel GCSE Mathematics November 2020 Paper 1MA1/3H (Calculator)**

Edexcel GCSE Mathematics November 2020 Past Paper 1MA1/3H (PDF)

Note: Past papers from the October and November 2020 examination series have summer dates on them. This is because the assessment material was reused from the cancelled summer 2020 examination series.

**Edexcel GCSE November 2020 Paper 1MA1/3H (Calculator) Solutions**

- (a) Simplify n
^{3}× n^{5}

(b) Simplify c^{3}d^{4}/c^{2}d

(c) Solve 5x/2 > 7 - Andy cycles a distance of 30 km at an average speed of 24 km/h.

He then runs a distance of 12 km at an average speed of 8 km/h.

Work out the total time Andy takes.

Give your answer in hours and minutes. - A number, m, is rounded to 1 decimal place.

The result is 9.4

Complete the error interval for m - Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5m by 9m.

Grass seed is sold in 2 kg boxes.

Maisie wants to make a rectangular lawn 10m by 14m.

She has 5 boxes of grass seed.

(a) Has Maisie got enough grass seed to make a lawn 10m by 14m?

You must show all your working.

Maisie opens the 5 boxes of grass seed.

She finds that 4 of the boxes contain 2 kg of grass seed.

The other box contains 1 kg of grass seed.

(b) Does this affect whether Maisie has enough grass seed to make her lawn?

Give a reason for your answer. - Amanda has two fair 3-sided spinners.

Spinner A Spinner B

Amanda spins each spinner once.

(a) Complete the probability tree diagram.

(b) Work out the probability that Spinner A lands on 2 and Spinner B does not land on 2 - (a) Use these graphs to solve the simultaneous equations

5x − 9y = −46

y = −2x

(b) Use this graph to find estimates for the solutions of the quadratic equation x² − 4x + 2 = 0 - There is a total of 45 boys and girls in a choir.

The mean age of the 18 boys is 16.2 years.

The mean age of the 27 girls is 16.7 years.

Calculate the mean age of all 45 boys and girls - There are some counters in a bag.

The counters are blue or green or red or yellow.

The table shows the probabilities that a counter taken at random from the bag will be blue or will be green. - The diagram shows a prism.

The cross section of the prism has exactly one line of symmetry.

Work out the volume of the prism.

Give your answer correct to 3 significant figures. - A person’s heart beats approximately 10
^{5}times each day.

A person lives for approximately 81 years.

(a) Work out an estimate for the number of times a person’s heart beats in their lifetime.

Give your answer in standard form correct to 2 significant figures.

- The diagram shows a triangle P on a grid.
- (a) Express as a single fraction in its simplest form.

(b) Expand and simplify (x − 3)(2x + 3)(4x + 5) - (a) On the grid show, by shading, the region that satisfies all these inequalities.

Geoffrey says that the point with coordinates (2, 4) does not satisfy all the inequalities because it does not lie in the shaded region.

Is Geoffrey correct?

You must give a reason for your answer - Points B, D, E and F lie on a circle.

ABC is the tangent to the circle at B.

Find the size of angle ABD.

You must give a reason for each stage of your working. - Prove algebraically that 0.73 can be written as
- Here is a speed-time graph for a car.

(a) Work out an estimate for the distance the car travelled in the first 30 seconds.

(b) Is your answer to part (a) an underestimate or an overestimate of the actual distance the car travelled in the first 30 seconds?

Give a reason for your answer. - The histogram gives information about the distances 80 competitors jumped in a long jump competition
- The diagram shows a cube.

AH = 11.3 cm correct to the nearest mm.

Calculate the lower bound for the length of an edge of the cube.

You must show all your working. - ABCDEF is a regular hexagon with sides of length x.

This hexagon is enlarged, centre F, by scale factor p to give hexagon FGHIJK. - Here is a list of five numbers
- 5c + d = c + 4d

(a) Find the ratio c : d

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