Skip main navigation

New offer! Get 30% off one whole year of Unlimited learning. Subscribe for just £249.99 £174.99. New subscribers only. T&Cs apply

Find out more

Solutions

In these videos, you will watch Georgeta working through the solutions to the maths problems you saw in the previous step.

Here you can watch Georgeta working through the solutions to the problems you saw in the previous step. As you watch, listen for the key vocabulary in each video.

Problem 1

Question

Michelle throws two, six-sided dice. What is the probability of the sum of the dice being seven? Two red dice

Key Vocabulary

probability (n.)
/pro – ba – BI – li – ty/
favourable (adj.)
/FA – vour – a – ble/
outcomes (n.)
/OUT – comes/
total (n.)
/TO – tal/
dice (n.)
/DICE/
times (prep.)
/TIMES/
add up (v.)
/add – UP/
table (n.)
/TA – ble/
sum (n.)
/SUM/
over (prep.)
/O – ver/
   

Solution

This is an additional video, hosted on YouTube.

Having problems watching this video? Listen to the audio and view this PDF of the transcript and working.

Problem 2

Question

Box A contains 3 cards numbered 1, 2, and 3. Box B contains 2 cards numbered 2 and 3. One card is removed at random from each box.

Box A and Box B

1) Draw a tree diagram to list all the possible outcomes.

2) Find the probability that:

  • the sum of the numbers is 4
  • the sum of the numbers is greater than 4

Key Vocabulary

tree diagram (n.)
/TREE/ /DI – a – gram/
possibilities (n.)
/poss – i – BI – li – ties/
outcomes (n.)
/OUT – comes
sum (n.)
/SUM/
probability (n.)
/pro – ba – BI – li – ty/
equal (v.)
/E – qual/
greater than (adj.)
/GREAT – er/ /THAN/
half (n.)
/HALF/
 

Solution

This is an additional video, hosted on YouTube.

Having problems watching this video? Listen to the audio and view this PDF of the transcript and working.

Problem 3

Question

image of college building

There are 400 students at Greenfields College. They all drive different distances from home to school. Data was collected from a sample of 10 students. The table of data below shows the distances that these ten students drive from home to school.

Find the mean distance, median distance and mode distance for this sample.

Student # Distance from school
1 5 km
2 2 km
3 10 km
4 7 km
5 2 km
6 5 km
7 5 km
8 4 km
9 3 km
10 3 km

Key Vocabulary

population (n.)
/pop – u – LA – tion/
sample (n.)
/SAM – ple/
data (n.)
/DA – ta
mean (n.)
/MEAN/
add (v.)
/ADD/
divide (v.)
/di –VIDE/
items (n.)
/I – tems/
distance (n.)
/DIS – tance/
kilometres (n.)
/KIL – o – me – tres/
or /kil – O – me – tres/
median (n.)
/ME – di – an/
middle (adj.)
/MID – dle/
average (n.)
/A – ver – age/
mode (n.)
/MODE/
   

Solution

This is an additional video, hosted on YouTube.

Having problems watching this video? Listen to the audio and view this PDF of the transcript and working.

Discussion

How did you solve the problems? Describe one of your solutions in the comments below.

This article is from the free online

English for STEM: Understanding Maths Vocabulary

Created by
FutureLearn - Learning For Life

Reach your personal and professional goals

Unlock access to hundreds of expert online courses and degrees from top universities and educators to gain accredited qualifications and professional CV-building certificates.

Join over 18 million learners to launch, switch or build upon your career, all at your own pace, across a wide range of topic areas.

Start Learning now