GCSE Grades 4-5 Revision Questions

Transcription

1 GCSE Grades 4-5 Revision Questions View and download the answers at...

2 26th March Write down the reciprocal of 3 Write down the reciprocal of 1 Work out the probability both sets of traffic lights will be green. There are two sets of traffic lights on Johnʼs route to Swindon. Work out the probability that exactly one set of traffic lights will be green. A salesman sells 140 cars in He sells 189 cars in Work out the percentage increase. Convert 5km/h into m/s.

3 27th March Factorise x² - 14x + 48 Work out the size of each interior angle of a regular decagon A line has equation y = ½x 3 Write down the y-intercept of the line Write down the gradient of the line Find the length of DE. Find the length of BE. CD is parallel to BE.

4 28th March Anna, Beth and Carla share money in the ratio 2:3:5. Carla receives 75. How much does Beth receive? Simplify Find the midpoint of (-2, 2) and (4, 9) Complete the table for the graph y = 4 - x² Draw the graph on the grid.

5 29th March Tom wants to buy a camera. In London the camera costs 380. In Abu Dhabi the camera costs 2000 Dirhams. Convert 2200 Emirati Dirhams into Pounds. In which city is the camera cheaper and by how much? Give your answer in pounds. Lee complete a journey in three stages. In stage 1 of his journey, he drives at an average speed of 30km/h for 45 minutes. How far does Lee travel in stage 1 of his journey? In stage 2 of his journey, Lee drives at an average speed of 50km/h for 2 hours 48 minutes. What is his average speed, in km/h, in stage 3 of his journey? Altogether, over all three stages, Lee drives 200 km in 4 hours. Solve the simultaneous equations 3x - 4y = 18 2x - 5y = 19 Corbettmaths 2015!

6 30th March Expand 4y² (5y² - 2a) Solve x² + 3x - 4 = 0 Calculate an estimate of the mean height. Solve the simultaneous equations y + 1 = 2x y = x + 2 ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} A = {multiples of 4} B = {factors of 20} Draw a Venn diagram for this information. Corbettmaths 2015#

7 2nd April Expand and simplify 5(3x + 2) + 4(x + 9) Find the area inside the running track. Here are the equations of four lines. Line 1 2y = 8x + 6 Line 2 x + y = 6 Line 3 4x y = 5 Line 4 4x + 2y = 1 Two of the lines are parallel. Which lines? Describe fully the single transformation that maps shape A onto shape B. Reflect B in the mirror line x = 5

8 3rd April Factorise 4mn - 16m² Calculate the size of the largest angle in the trapezium. Draw a sketch of the solid shape. Shown is a shape made out of 5 pieces of metal. Work out the total length of the 5 pieces of metal. Megan has 102 DVDs. This number of DVDs is 70% more than the number she had last month. How many DVDs did Megan have last month?

9 4th April A circle has area 40cm². Find the diameter. Show that an increase of 10% followed by an increase of 10% is equivalent to a 21% increase overall. Triangle ABC is similar to triangle ADE. Work out the length of AC. Solve w is greater than 1. Write in order, from smallest to largest

10 5th April Find the area of the semi-circle. Leave your answer in terms of π. Find the length of BC. Calculate an estimate for the mean. Write 55 billion in standard form. At a show 4 adult tickets and 1 child ticket cost 33 2 adult tickets and 7 child tickets cost 36 Work out the cost of 10 adult tickets and 20 child tickets.

11 6th April Find the perimeter A biased dice is rolled 500 times. The probability of a 5 is How many 5ʼs are expected? Simplify Calculate the volume of the cone 3.6 has been rounded to one decimal place. Write down an inequality to show the range of possible actual values.