Curriculum for Excellence LEVEL 3 (Book 3b)

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1 Note :- This sample shows the first 4 of 20 Mental tests along with their 4 Support sheets, the ontents list and a blank Pupil Reord list. Mental Mathematis Pak Curriulum for Exellene LEVEL 3 (Book 3b) This Assessment Pak has been designed to enhane mental Mathematis. It is primarily designed to omplement Teejay s Book 3b, although it an be used as a free-standing unit for Mental Mathematis. Eah of the 20 assessments has 10 mental questions whih over TJ Book 3b in sequene. The Pak also inludes a set of 20 Support Sheets, eah one orresponding to a partiular mental assessment and onsists of 3 pratie questions for eah mental assessment question. This Mental Pak supports TeeJay CfE Book 3b Test No Covers the work of Test No Covers the work of 1 Book 3a 2 Book 3a 3 Book 3a 4 Book 3a 5 Book 3a 6 Book 3a + Ch Book 3a + Ch Book 3a + Ch Book 3a + Ch Book 3a + Ch Book 3a + Ch Book 3a + Ch Book 3a + Ch Book 3a + Ch Book 3a + Ch All of CfE Level 3 17 All of CfE Level 3 18 All of CfE Level 3 19 All of CfE Level 3 20 All of CfE Level 3 When the symbol appears, the teaher should opy the question onto the, but remove it prior to the next question being read out.

2 Mental Mathematis Assessments Test No. 1 Book 3a Class No. Teaher Date Read eah question twie - Leave a ouple of seonds between eah reading and approx 10 seonds between questions. No. Question Answer No. with wrong answer Round the number to 1 signifiant figure. Find the answer to 251 x 200. Find the answer to 10-5 x 3. Two of the angles in a triangle measure 35 and 43. What is the size of the third angle? Express 85% as a fration in its simplest form. Write down the answer to 10 subtrat negative 8. What is the value of this expression, given that x = 4 and y = 7? 8x + 3y What is 6 times negative 5, times negative 4? Write the answer to a half plus a third as a fration. There are 15 men and 18 women in a room. What is the ratio of men to women in its simplest form? : 6 TeeJay Publishers 2016 page 1 Class Average

3 Mental Mathematis Assessments Test No. 2 Book 3a Class No. Teaher Date Read eah question twie - Leave a ouple of seonds between eah reading and approx 10 seonds between questions. No. Question Answer By rounding eah number to 1 signifiant figure, find an approximation for this :- Find the value of 6 + negative 8 take away negative 1. Find 30% of 240. Divide by x 49. Simplify this expression :- 3a - 7b + 7a + 3b. What is the answer to negative 96 divided by negative 8? The ratio of boys to girls in a group is 4 to 3. If there are 12 girls in the group, how many boys are there? a - 4b No. with wrong answer 8. What is the volume of a ube with sides 9 entimetres long? 729 m 3 9. Simplify : It takes a man from 9 am to am to yle 25 miles. Calulate his average speed in miles per hour. 10 mph TeeJay Publishers 2016 page 2 Class Average

4 Mental Mathematis Assessments Test No. 3 Book 3a Class No. Teaher Date Read eah question twie - Leave a ouple of seonds between eah reading and approx 10 seonds between questions. No. Question Answer No. with wrong answer There are people at a politial demonstration. Round this number to 2 signifiant figures. Write down the answer to : (5-3) x 4. David sored 18 out of 20 in his maths test. What was David s sore as a perentage? Write the answer to negative 6 times 4, divided by negative eight. Find three eighths of 144 dollars. What is the size of the angle marked x in this figure? What is the value of this expression, given that a = 3 and b = 4? There are 21 red ars and 15 blue ars in a ar park. Express the ratio of red ars to blue ars and simplify as far as possible. If a plane flies at 450 miles per hour, how far will it travel between 10 am and am? a - 9 ab x % $ : m 10. Find the value of : TeeJay Publishers 2016 page 3 Class Average

Mental Mathematis Assessments Test No. 4 Book 3a Class No. Teaher Date Read eah question twie - Leave a ouple of seonds between eah reading and approx 10 seonds between questions. No. Question Answer No.

5 Mental Mathematis Assessments Test No. 4 Book 3a Class No. Teaher Date Read eah question twie - Leave a ouple of seonds between eah reading and approx 10 seonds between questions. No. Question Answer No. with wrong answer 1. Write the answer to 3000 x Write the mixed number as a top-heavy (improper) fration. Find the answer to negative nineteen subtrat negative 18. Express % as a fration in its simplest form. 1 8 Find 66 2 % of Round eah number to 1 signifiant figure, then find an estimate for :- Simplify this expression as far as possible : a - 2(a - 3b) a + 6b The ratio of starlings to rows in my garden was 2 to 3. There were 18 starlings in the garden. How many rows were there? A uboid measures 8 m by 6 m by 20 m. Calulate the volume of the uboid in ubi entimetres m Calulate the area of this right angled triangle :- 12 m 13 m 5 m 30 m 2 TeeJay Publishers 2016 page 4 Class Average

Senario 1 :- They an be used in a variety of ways :- The teaher ould, before attempting a partiular 10 question test, go over the assoiated questions, 1a, 2a, 3b et with the lass, then allow them to

6 Mental Mathematis Pak (Support Sheets) Curriulum for Exellene Level 3 The following Support Sheets to be used with TJ Book 3b. These sheets are meant to be used in onjuntion with TeeJay s Mental Pak 3b. Senario 1 :- They an be used in a variety of ways :- The teaher ould, before attempting a partiular 10 question test, go over the assoiated questions, 1a, 2a, 3b et with the lass, then allow them to attempt 1b, 2b, 3b, et in the lass on their own and possibly attempt 1, 2, 3 et at home. This would prepare them for the atual 5 minute mental test the following day. Senario 2 :- The teaher ould, allow the lass to attempt 1a, 2a, 3b et without assistane and go over the questions, pointing out any errors. The lass ould then be allowed to attempt 1b, 2b, 3b, et in lass and then possibly attempt 1, 2, 3 et at home. This would prepare them for the atual 5 minute mental test the following day. Senario 3 :- The teaher ould read out question 1a, allow the lass to attempt it, and go over the answers or methods used to gain the answer. Then repeat for 2a, 3b, 4a, et. The teaher ould then read questions 1b, 2b, 3b, et as a pre-test and leave 1, 2, 3, et as post test onsolidation. TeeJay Publishers 2016 page 5

7 Mental Mathematis Support Sheets Support for Test Round to one signifiant figure :- a 3 66 b a Find 452 x 200. b Find 200 x 456. Find 314 x a Find x 3. b Find 7-2 x 3. Find 3 x 6-4 x a Two angles in a triangle measure 40 and 30. What is the size of the other angle? b Find the size of the other angle in a triangle if two are 45 and 25. One angle of an isoseles triangle is 110. What is the size of the other 2 angles? 5. Express eah of these as a fration in its simplest form :- a 65% b 34% 16%. 6. a Find 10 + (-3). b Find twenty subtrat negative five. Find ten subtrat negative two. 7. a Find the value of 3x + 2y - 10, given that x = 2 and y = 3. b Given x = 5 and y = 6, find the value of 4x + 2y What is the value of 5x + 4y - 5, given x = 3 and y = 1? 8. a Find five times negative two, times negative three. b What is ten times negative four, times negative two? Multiply together the numbers four, negative five and negative six. 9. Write the answer to eah of these as a fration :- a a half + a quarter b a third plus a quarter a fifth add a half. 10. Write eah of these in the ratio of red to blue in its simplest form :- a 16 red, 10 blue b eight red, twelve blue fifteen red, twenty blue. TeeJay Publishers 2016 page 6

8 Mental Mathematis Support Sheets Support for Test Round eah number to one signifiant figure and find an approximate answer to :- a 398 x 19 b x x Find :- a 8 + (-7) - (-2) b 5 + (-2) - (-1) 20 + (-7) - (-10). 3. a Find 40% of 130. b What is 30% of 360? Find 70% of 310 kg. 4. Simplify eah of the following :- a 4x + 3y + 5x - 2y b 8-8d d 10p - 8k - 3p + 7k. 5. a Divide by 400. b Find What is ? 6. Find :- a 84 (-7) b 88 (-4) (-96) (-6). 7. The ratio of men to women in an offie is 3 : 2. How many :- a men if there are 6 women b women if there are twelve men men if there are twenty four women? 8. Find the volume of a ube whih has side length :- a 3 m b ten entimetres nine entimetres. 9. Simplify :- a b Calulate the speed of eah journey :- a b It takes from noon to one thirty to travel 6 km. Cyling 15 km, starting at three o lok and ending at four thirty. A 24 km train journey, departing at six forty and arriving at eight ten. TeeJay Publishers 2016 page 7

9 Mental Mathematis Support Sheets Support for Test Round eah of these to two signifiant figures :- a b a Find 20 - (6-2) x 2. b Find 15 + (9 + 1) x 3. Find 50 - (20-10) x Find the perentage for eah of these test sores :- a 17 out of 20 b seven out of ten 14 out of Write the size of eah angle marked with an x :- a b 5. a Find negative 3 times 8, divided by negative 4. b What is negative 10 multiplied by 4, divided by negative 8? x Find negative four times negative three, divided by negative six. 6. a Find 4 of 350. b Find seven eighths of six hundred and forty dollars. 5 What is four sevenths of two hundred and eighty seven kilograms? 7. Given a = 4 and b = 5, find the value of eah of these expressions :- 85 x x 25 a 4a + 24 ab b 8b 20 ab 10b + 5a. 4b 8. Express the ratio for eah of these boys to girls in its simplest form :- a 14 boys, 35 girls b 12 boys, 28 girls 36 boys, 60 girls. 9. Find the distane travelled for eah of these journeys :- a 5 hours at 40 mph b 3 pm to 5:30 pm at forty kilometres per hour depart at eight o lok - arrive at ten thirty, travelling at thirty miles per hour. 10. a Find b Find Find TeeJay Publishers 2016 page 8

Mental Mathematis Support Sheets Support for Test 4. 1. Find :- a 4000 x 321 b 3000 x 22

b Find negative sixteen subtrat negative eleven. What is negative twenty five subtrat negative seventeen? 4.

6. a Find 33 1 3 % of 210. b Find 66 2 % of three hundred and sixty metres. 3 Find sixty six and two thirds perent of two hundred and seventy dollars. 7.

10 Mental Mathematis Support Sheets Support for Test Find :- a 4000 x 321 b 3000 x x Write eah of the following numbers as a top heavy (improper) fration :- a b seven and three tenths five and two ninths. 3. a Find (-15) - (-20). b Find negative sixteen subtrat negative eleven. What is negative twenty five subtrat negative seventeen? 4. Express eah of the following as a fration in its simplest form :- a 42% b 2 5 perent 1 2 of one perent. 5. Round eah number to one signifiant figure and give an approximate answer to :- a b a Find % of 210. b Find 66 2 % of three hundred and sixty metres. 3 Find sixty six and two thirds perent of two hundred and seventy dollars. 7. Simplify fully :- a 12x + 2(x + 3) b 15y - 3(y + 7) 20k - 5(k - 3). 8. The ratio of men to women is three to four. How many women are there if there are :- a twenty one men b thirty three men forty five men? 9. Calulate the volume of a uboid with dimensions :- a 4 m by 6 m by 10 m b 6 m by 6 m by 30 m 5 m by 4 m by 20 m. 10. Calulate the area of eah of these right angled triangles :- a b 6 m 8 m 4 m 3 m 16 m 12 m 5 m 10 m 20 m TeeJay Publishers 2016 page 9

11 Support Sheets (Answers) ANSWERS to Sheets 1-4 Support Sheet for Test 1 :- 1. a 4 b a b a 15 b a 110 b a b a 7 b a 2 b a 30 b a 3 4 b a 8 : 5 b 2 : 3 3 : 4 Support Sheet for Test 2 :- 1. a 8000 b a 3 b a 52 b kg 4. a 9x + y b 13-3d 7p - k 5. a 80 b a -12 b a 9 b a 27 m 3 b 1000 m m 3 9. a 1 4 b a 4 km/hr b 10 km/hr 16 km/hr Support Sheet for Test 3 :- 1. a b a 12 b a 85% b 70% 56% 4. a 125 b a 6 b a 280 b $ kg 7. a 2 b a 2 : 5 b 3 : 7 3 : 5 9. a 200 miles b 100 km 75 miles 10. a b Support Sheet for Test 4 :- 1. a b a 19 5 b a 5 b a b a 3000 b a 70 b 240 m $ a 14x + 6 b 12y k a 28 b a 240 m 3 b 1080 m m a 6 m 2 b 24 m 2 96 m 2 TeeJay Publishers 2016 page 10

12 Level 3 Mental Test (Bk 3b). Cheklist of Topi Coverage. Topi Round to sig figs * * * Round to 1 sig fig and x or * * * * * * * * x and by 20, 300, 4000 * * * * * * * * * * * * BODMAS * * * * * * * * * * Missing angles in figures * * * * * Book 3a Topis Integers inluding - (-8) * * * * * * * * * * * Multiply/Divide Integers * * * * * * * * * * * * Change de <-> fra <-> %age * * * * * * * * * * Find %, fra, de of amount * * * * * * * * * * * * * * + - x algebrai terms * * * * * * Evaluate expressions * * * * * * * * Areas of quads/triangles * * * * Fra + - x mixed+top heavy * * * * * * * * * * * Simplify Ratios * * * * * * * * * * * * Volume * * * * * TDS (end of 3a) * * * * * * Ch 1 Powers and Roots * * * * * * * * * * * * * Ch 2 Money topis * * * * * * * * Ch 3 Mults/Fators/Primes * * * * * * * * * * Ch 5 Harder Equations * * * * * Ch 6 Z, F and X angles * * * * * Ch 8 Frations x and * * * * * * * Ch 10 Proportion * * * * * * Ch 11 Mean/Median/Mode * * * * * * Ch 13 Probability * * * TeeJay Publishers 2016 page 11

13 Analysis of CfE Level 3 Mental Tests (Bk 3b) Class :- Teaher :- Level :- Name TeeJay Publishers 2016 page 12

Year 11 GCSE Revision - Re-visit work

Week beginning 6 th 13 th 20 th HALF TERM 27th Topis for revision Fators, multiples and primes Indies Frations, Perentages, Deimals Rounding 6 th Marh Ratio Year 11 GCSE Revision - Re-visit work Understand