Hyperlinked Link to Box & Whisker Diagram s Box & Whisker E xamples Stem & Leaf Diagrams Examples You Tube To p Tips Philip Kent QTS Info site Numeracy skills tests: Test content QTS Skills Tests info rmation Online Practice Tests to d o

Solutions excellently explained G and A Numeric al extra practice tests Numeracy Ready Link to website for extra practice tests Numeracy skills Pr actice Solutions excellently explained 1 2 3 4 Hyperlin ked

Apps to test your mental and On- Screen Calculator skills Hyperlin Free apps to help improve your ked mental skills Hyperlin ked Try these for more mental maths Extra mental test frompractice Numeracy GA Numerical QTS Numerac y Test Testbank Extra mental test from GA Numerical - Solutions http://www.phillipkent.ne t/QTS-test

http://www.freeteacher. co.uk/math_games.htm l http://www.cimt.plymouth. ac.uk/projects/mepres/boo k7/bk7i6/bk7_6i3.htm http://www.freeteacher.co.uk/mental_mathematics_for_key_stage_two_ks 2.aspx The information on these next four slides is taken from the qts skills website Some more top tips taken from the internet. This slide should help your knowledge of the conversions between important fractions, decimals and percentages. 1 1

0.75 0.5 0.25 1/10 0.1 1/20 0.05 1/100 0.01 100%

You could well be asked a question where the answer comes to , however they want this given as a percentage. Dont panic, remember that is half of so halve 25% which is 12.5% 75% 50% 25% 10% 5% 1% by 2 12.5% 37.5% 62.5% 87.5%

Here is how you convert any fraction to a decimal to a percentage. This is useful when answering the on-screen To change a fraction to a decimal calculator questions. (divide by the bottom number, multiply by the top number) Eg 58 0.625 To change a decimal to a percentage (multiply by 100) Eg 0.625

To change a percentage (divide by 100) Eg 62.5% 02/10/2020 x 100 62.5% to a decimal then a fraction (put the number over the value of the last digits column) ( 62.5 100) 0.625

625 100 0 (cancel down) Some questions for you to try. Then click for the answers Some questions for you to try. Then click for the answers x top and bottom numbers by 4 Change fractions into percentage s x top and bottom numbers by 4 x top and bottom numbers by 2 x top and bottom

numbers by 2 x top and bottom numbers by 10 x top and bottom numbers by 20 Calculate an x top and bottom numbers by 5 equivalent x top and bottom fraction where numbers by 5 x top and bottom the numbers by 2 56 is denominator 140 Cancel down first A = 100. 36 120 Cancel down first

A To find a fraction of an amount (divide by the bottom number and multiply by the top number) Eg 40 of 40 8x5 25 To find a percentage of an amount change percentage to a fraction change fraction to a decimal multiply by the amount Eg 18 100 02/10/2020

0.18 18% of 62 0.18 x 62 11.16 This trick maybe useful Some questions for you to try. Then click for the answers Distance, Speed and Time Mental Question A teacher takes a school trip to the theatre. The theatre is 50 miles away and the coach travels at an average speed of 30 miles per hour. What is the latest time that the coach must leave to arrive at the theatre by 19:00 hrs. Give your answer in the 24 hour clock. 1 hour (60 mins) 20 mins 20 mins 1 hr 40 mins

time Coach must leave by 17:20 30 miles 10 miles 10 miles 50 miles Total journey On-Screen Calculator To change 0.75 hr 2 x 25 = 50 mins rest breaks into minutes you must multiply by 6045 11km at 4km/h (T = D/S ) = 11/4 = 2.75 hrs = 2hrs mins Total time 3hrs 35mins Latest time to leave is 13:25 On-Screen Calculator

A school trip has to travel 150 miles by coach to a concert in Birmingham. The coach will travel at an average speed of 45mph and must arrive by 17:30 hrs plus they must allow a break of 30 mins. What is the latest time must the coach leave by? To change 0.3333 hr into minutes you must multiply by 60hrs 150 miles at 45mph (T = D/S ) = 150/45 = 3.3333 = 3hrs 20 mins + rest break of 30 mins Total time 3hrs 50mins (take off 4hrs and add on 10 mins) Latest time to leave is 13:40 On-Screen Calculator A teacher has to travel 85 miles by car to a meeting. She will travel at an average speed of 95 km/h. Taking 5 miles to approximately equal 8 km, how long will the journey take? Give your answer to the nearest minute.

To change 0.4315789 hrs into minutes you 5 miles = 8 km 85 miles = 136km must multiply by 60 136 km at 95km/h (T = D/S ) = 136/95 = 1.4315789 hrs = 1hr 25.89 mins = 1 hr 26 mins Journey time 1 hour 26 minutes Try these yourself 4.5 hours is 4 _____hours 30 _____minutes 1.2 hours is 1 _____hours

12 _____minutes 1.25 hours is 1 _____hours 2.666666 hours is 3.8 hours is _____minutes 15 4 _____hours 3 _____hours 40 _____minutes 48

_____minutes 3.45 hours is 3 _____hours 1.36 hours is 1 22 _____hours _____minutes (to the nearest minute) 27 _____minutes (part 1) Hyperlink for explanation of Cumulative Frequency graphs by Numeracy Ready on You Tube

(part 2) 70 GCSE Maths Grades 60 50 40 Q. 60 pupils took Maths GCSE and the 30 cumulative frequency 20 graph shows their results. 10 A*?

Grade A* ... gained a grade A or Grade A o... Grade B o... Grade C o... Grade D o... Grade E o... 0 Grade F or... How many students Grade G o... No of Pupils

Hyperlin Hyperlink for explanation of Cumulative Frequency graphs by Numeracy Ready on You Tube ked GCSE Maths Grades 60 50 45 40 60 45 = 15 students gain A or A 30 20 Q. How many students gained a grade A or A? To do this you must look at the number of students who gained B or below (as this will show you the G,F,E.D,C and B) Grade A* ... Grade A o...

Grade B o... Grade C o... Grade D o... Grade E o... 0 Grade F or... 10 Grade G o... No of Pupils 70 Hyperlin Explanation of Box and Whisker diagrams by G&A Numerica kedl on YouTube Range

Interquartile Range Top 1/4 Bottom 1/4 Percentage A class sat 4 tests. 1) In which test did of the pupils score at least 65%?Test 2 Test 1 2) Which test had the greatest range? Test 3 3) In which test did of the pupils score at least 60%? Test 1 Test 1 Test 1 Test 1 Test 1

Test 2 Test 3 Test 4 2015 Hyperlin ked Explanation of Scatter Graphs by G&A Numerical on Yo 85 Tubeshowing the percentage of pupils gaining at Scatter u graph least 5 A* to C at GCSE in 2014 and 2015 80 75 70 Click on the school which has the same

percentage score of students gaining at least 5 A - C in both 2014 and 2015 65 60 55 50 45 40 40 45 50 55 60 65 70

75 80 2014 85 The pie chart below shows the number of pupils involved in after school activities each week. Indicate the true statements. 30 Art; 30 60 20 + 25 Football; 65 65 200 pupils 30++60 = 15% 65 30 20

==125 50 == 200 200 200 200 200 After school Drama; 60 Tennis; 25 1) more than 15% of the pupils take Art 2) of the pupils go to Art or Music 3) of the pupils are involved in Football or Drama Music; 20 The table below compares the results from two mock exams. Which pupils marks had increased more than 10% from mock 1 to mock

2?2 (out of 50) Mock 1 (out of 20) Mock % % Pupil x by 5 x by 2 75 86 A 15 43 B 11 55 35

70 C 16 80 45 90 D 13 65 38 79 E

14 70 40 80 F 7 35 22 44 G 17 85

46 92 The table below compares the results from two mock exams. Which pupils marks had increased more than 10% from mock 1 to mock 2?2 (out of 50) % Mock 1 (out of 40) Mock % Pupil 4 x 10 x 2 66 50 A

20 33 B 32 80 34 68 C 16 40 27 54 D

12 30 19 39 E 14 35 17 34 F 10 25

22 44 G 28 70 41 82 35A school compared its percentage of GCSE grades with those of the national average. The results are displayed in this graph. Which grade had the biggest percentage difference? Percentage of Grades 30

25 20 15 School % National % 10 5 0 Grade E A tricky type of question A science teacher produced the following table to show the marks achieved in an end of topic test taken by 3 Yr 9 classes. Indicate the true statements. Marks (percentage) Range

Mode Median Class A 60 50 82 Class B 55 38 52 Class C 85

60 70 The range is always important to consider in these questions to try and determine either the highest or lowest possible values. Some pupils in Class A achieved less than 22% Even if 82 was highest mark, 82 60 = 22% So any mark less than 22 is not possible 22 Range 60 At least one pupil in Class C achieved 15% or less Even if 100 was highest mark, 100 85 = 15% 15 So there must be a mark of 15 or even less 82

Range 85 Some pupils in Class B achieved a mark of more than 95% Range 55 Even if 38% was lowest mark, 38 + 55 = 93% 38 So a mark of more than 95% is not possible 100 93 Hyperlin ked Hyperlink for Explanation of Conversion Questions by G&A Numerical on You Tu be Hyperlink for Explanation of

Range, Mode and Median by G&A Numerical Hyperlink for Explanation by Numeracy Ready of Tricky Range, Mode and Median Questions Hyperlink for Explanation of Raw Data Question on the On Screen Calculator section