their 4 support sheets, the contents list and a blank...

Test No Covers the work of Test No Covers the work of1 Book 3a 2 Book 3a

3 Book 3a 4 Book 3a

5 Book 3a 6 Book 3a + Ch 1-2

7 Book 3a + Ch 1-2 8 Book 3a + Ch 1-5

9 Book 3a + Ch 1-5 10 Book 3a + Ch 1-8

11 Book 3a + Ch 1-8 12 Book 3a + Ch 1-11

13 Book 3a + Ch 1-11 14 Book 3a + Ch 1-13

15 Book 3a + Ch 1-13 16 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

This Assessment Pack has been designed to enhance mental Mathematics.

It is primarily designed to complement Teejay’s Book 3b, although it can be used as a free-standing unit for Mental Mathematics.

Each of the 20 assessments has 10 mental questions which cover TJ Book 3b in sequence.

The Pack also includes a set of 20 Support Sheets, each one corresponding to a particular mental assessment and consists of 3 practice questions for each mental assessment question.

Mental Mathematics PackCurriculum for Excellence LEVEL 3 (Book 3b)

This Mental Pack supports TeeJay CfE Book 3b

When the symbol appears, the teacher should copy the question onto the

board, but remove it prior to the next question being read out.

board

Note :- This sample shows the first 4 of 20 Mental tests along with their 4 Support sheets, the contents list and a blank Pupil Record list.

Class No. Teacher Date

Read each question twice - Leave a couple of seconds between each reading and approx 10 seconds between questions.

Class Average

No. Question AnswerNo. with wrong answer

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Round the number 0·0873 to 1 significant 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 fraction in its simplest form.

What is the value of this expression,given that x = 4 and y = 7 ?

What is 6 times negative 5, times negative 4 ?

Write the answer to “a half plus a third” as a fraction.

Write down the answer to 10 subtract negative 8.

Test No. 1 Book 3a

TeeJay Book 3bTeeJay PublishersMental Mathematics

Assessments

0·09

-5

102°

1720

120

56

18

There are 15 men and 18 women in a room.What is the ratio of men to women in its simplest form ? 5 : 6

13

©TeeJay Publishers 2016 page 1

50 200

board8x + 3y - 40

Sample



Class Average


1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

By rounding each number to 1 significant figure, find an approximation for this :-

Find the value of 6 + negative 8 take away negative 1.

Find 30% of £240.

Simplify this expression :- 3a - 7b + 7a + 3b.

Divide 360 000 by 400.

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 ?

What is the volume of a cube with sides 9 centimetres long ?

Simplify :- 34 -

13 .

It takes a man from 9 am to 11.30 am to cycle 25 miles.Calculate his average speed in miles per hour.

Test No. 2 Book 3a


Assessments

20

10a - 4b

900

12

729 cm3

512

10 mph

16


board 0·389 x 49.

-1

£72

board

board

Sample




1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

There are 215 800 people at a political demonstration.Round this number to 2 significant figures.

Write down the answer to :- 10 - (5 - 3) x 4.

David scored 18 out of 20 in his maths test.What was David’s score as a percentage ?

Write the answer to negative 6 times 4, divided by negative eight.

Find three eighths of 144 dollars.

If a plane flies at 450 miles per hour, how far will it travel between 10 am and 11.30 am ?

There are 21 red cars and 15 blue cars in a car park. Express the ratio of red cars to blue cars and simplify as far as possible.

Test No. 3 Book 3a


Assessments

220 000

90%

3

$54

1

675 m

7 : 5

Class Average

What is the value of this expression,given that a = 3 and b = 4 ?

2

What is the size of the angle marked x in this figure ?

120°

Find the value of :- 4 23 - 1

12 .


board

95°

x °25°

board

7a - 9ab

board

3 16

board

Sample



Class Average


1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Test No. 4 Book 3a


Assessments

Round each number to 1 significant figure, then find an estimate for :-

Write the mixed number 7 611 as a top-heavy (improper) fraction.

Find the answer to negative nineteen subtract negative 18.

Write the answer to 3000 x 421.

Find 66 23 % of £180.

A cuboid measures 8 cm by 6 cm by 20 cm.Calculate the volume of the cuboid in cubic centimetres.

Calculate the area of this right angled triangle :-

3000

-1

1263000

£120

8a + 6bSimplify this expression as far as possible :-

8311

Express 12 12 % as a fraction in its simplest form.

18

The ratio of starlings to crows in my garden was 2 to 3.There were 18 starlings in the garden. How many crows were there ?

960 cm3

27

30 cm2


board 592 500 ÷ 187

10a - 2(a - 3b).board

board 5 cm

13 cm

12 cm

Sample


These sheets are meant to be used in conjunction with TeeJay’s Mental Pack 3b.

They can be used in a variety of ways :-

Scenario 1 :-

The teacher could, before attempting a particular 10 question test, go over the associated questions, 1a, 2a, 3b etc with the class, then allow them to attempt 1b, 2b, 3b, etc in the class on their own and possibly attempt 1c, 2c, 3c etc at home.

This would prepare them for the actual 5 minute mental test the following day.

Scenario 2 :-

The teacher could, allow the class to attempt 1a, 2a, 3b etc without assistance and go over the questions, pointing out any errors. The class could then be allowed to attempt 1b, 2b, 3b, etc in class and then possibly attempt 1c, 2c, 3c etc at home.

This would prepare them for the actual 5 minute mental test the following day.

Scenario 3 :-

The teacher could read out question 1a, allow the class to attempt it, and go over the answers or methods used to gain the answer. Then repeat for 2a, 3b, 4a, etc. The teacher could then read questions 1b, 2b, 3b, etc as a pre-test and leave 1c, 2c, 3c, etc as post test consolidation.

Mental Mathematics Pack(Support Sheets)

Curriculum for Excellence Level 3

The following Support Sheets to be used with TJ Book 3b.

Support for Test 1.


Support Sheets


1. Round to one significant figure :-

a 3·66 b 0·843 c 0·0621.

2. a Find 452 x 200. b Find 200 x 456. c Find 314 x 300.

3. a Find 6 + 3 x 3. b Find 7 - 2 x 3. c Find 3 x 6 - 4 x 2.

4. 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°.

c One angle of an isosceles triangle is 110°. What is the size of the other 2 angles ?

5. Express each of these as a fraction in its simplest form :-

a 65% b 34% c 16%.

6. a Find 10 + (-3). b Find twenty subtract negative five.

c Find ten subtract 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 - 20.

c 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 ?

c Multiply together the numbers four, negative five and negative six.

9. Write the answer to each of these as a fraction :-

a a half + a quarter b a third plus a quarter c a fifth add a half.

10. Write each of these in the ratio of red to blue in its simplest form :-

a 16 red, 10 blue b eight red, twelve blue c fifteen red, twenty blue.

Sample

Support for Test 2.


Support Sheets


1. Round each number to one significant figure and find an approximate answer to :-

a 398 x 19 b 0·814 x 39 c 0·715 x 52.

2. Find :-

a 8 + (-7) - (-2) b 5 + (-2) - (-1) c 20 + (-7) - (-10).

3. a Find 40% of £130. b What is 30% of £360 ? c Find 70% of 310 kg.

4. Simplify each of the following :-

a 4x + 3y + 5x - 2y b 8c - 8d + 5c + 5d c 10p - 8k - 3p + 7k.

5. a Divide 32 000 by 400. b Find 480 000 ÷ 800. c What is 240 000 ÷ 600 ?

6. Find :-

a 84 ÷ (-7) b 88 ÷ (-4) c (-96) ÷ (-6).

7. The ratio of men to women in an office is 3 : 2. How many :-

a men if there are 6 women b women if there are twelve men

c men if there are twenty four women ?

8. Find the volume of a cube which has side length :-

a 3 cm b ten centimetres c nine centimetres.

9. Simplify :-

a 34 -

12 . b

13 -

14 . c

45 -

13 .

10. Calculate the speed of each journey :-

a It takes from noon to one thirty to travel 6 km.

b Cycling 15 km, starting at three o’clock and ending at four thirty.

c A 24 km train journey, departing at six forty and arriving at eight ten.

Sample

Support for Test 3.


Support Sheets


1. Round each of these to two significant figures :-

a 325 700 b 129 600 c 755 890.

2. a Find 20 - (6 - 2) x 2. b Find 15 + (9 + 1) x 3. c Find 50 - (20 - 10) x 3.

3. Find the percentage for each of these test scores :-

a 17 out of 20 b seven out of ten c 14 out of 25.

4. Write the size of each angle marked with an x :-

a b c

5. a Find negative 3 times 8, divided by negative 4.

b What is negative 10 multiplied by 4, divided by negative 8 ?

c Find negative four times negative three, divided by negative six.

6. a Find 45 of £350. b Find seven eighths of six hundred and forty dollars.

c What is four sevenths of two hundred and eighty seven kilograms ?

7. Given a = 4 and b = 5, find the value of each of these expressions :-

a

4a + 24ab

b

8b − 20ab

c

10b +5a4b

.

8. Express the ratio for each of these boys to girls in its simplest form :-

a 14 boys, 35 girls b 12 boys, 28 girls c 36 boys, 60 girls.

9. Find the distance travelled for each of these journeys :-

a 5 hours at 40 mph b 3 pm to 5:30 pm at forty kilometres per hour

c depart at eight o’clock - arrive at ten thirty, travelling at thirty miles per hour.

10. a Find 3 34 + 2

12 . b Find 4

12 - 1

13 . c Find 5

34 - 2

13 .

x °

25 °125°

85°

x ° 130°

90°

x °35°

Sample

Support for Test 4.


Support Sheets


1. Find :-

a 4000 x 321 b 3000 x 221 c 5000 x 610.

2. Write each of the following numbers as a top heavy (improper) fraction :-

a 3 45 b seven and three tenths c five and two ninths.

3. a Find (-15) - (-20). b Find negative sixteen subtract negative eleven.

c What is negative twenty five subtract negative seventeen ?

4. Express each of the following as a fraction in its simplest form :-

a 42% b 2·5 percent c 12 of one percent.

5. Round each number to one significant figure and give an approximate answer to :-

a 632 700 ÷ 198 b 149 870 ÷ 482 c 555 555 ÷ 331.

6. a Find 33 13 % of £210. b Find 66

23 % of three hundred and sixty metres.

c Find sixty six and two thirds percent of two hundred and seventy dollars.

7. Simplify fully :-

a 12x + 2(x + 3) b 15y - 3(y + 7) c 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 c forty five men ?

9. Calculate the volume of a cuboid with dimensions :-

a 4 cm by 6 cm by 10 cm b 6 cm by 6 cm by 30 cm c 5 cm by 4 cm by 20 cm.

10. Calculate the area of each of these right angled triangles :-

a b c12 cm

20 cm

16 cm6 cm

10 cm

8 cm3 cm

5 cm

4 cm

Sample


ANSWERSto Sheets

1 - 4

TeeJay Book 3bTeeJay PublishersSupport Sheets

(Answers)

Support Sheet for Test 1 :-1. a 4 b 0·8 c 0·06

2. a 90 400 b 91 200 c 94 200

3. a 15 b 1 c 10

4. a 110° b 110° c 35°

5. a 1320 b

1750 c

425

6. a 7 b 25 c 12

7. a 2 b 12 c 14

8. a 30 b 80 c 120

9. a 34 b

712 c

710

10. a 8 : 5 b 2 : 3 c 3 : 4

Support Sheet for Test 2 :-1. a 8000 b 32 c 35

2. a 3 b 4 c 23

3. a £52 b £108 c 217 kg

4. a 9x + y b 13c - 3d c 7p - k

5. a 80 b 600 c 400

6. a -12 b -22 c 16

7. a 9 b 8 c 36

8. a 27 cm3 b 1000 cm3 c 729 cm3

9. a 14 b

112 c

715

10. a 4 km/hr b 10 km/hr c 16 km/hr

Support Sheet for Test 3 :-1. a 330 000 b 130 000 c 760 000

2. a 12 b 45 c 20

3. a 85% b 70% c 56%

4. a 125° b 45° c 100°

5. a 6 b 5 c -2

6. a £280 b $560 c 164 kg

7. a 2 b 1 c 3·5

8. a 2 : 5 b 3 : 7 c 3 : 5

9. a 200 miles b 100 km c 75 miles

10. a 6 14 b 3

16 c 3

512

Support Sheet for Test 4 :-1. a 1 284 000 b 663 000 c 3 050 000

2. a 195 b

7310 c

479

3. a 5 b -5 c -8

4. a 2150 b

140 c

1200

5. a 3000 b 200 c 2000

6. a £70 b 240 m c $180

7. a 14x + 6 b 12y - 21 c 15k + 15

8. a 28 b 44 c 60

9. a 240 cm 3 b 1080 cm3 c 400 cm3

10. a 6 cm2 b 24 cm2 c 96 cm2


Level 3 Mental Test (Bk 3b).Checklist of Topic Coverage.

Topic 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Round to sig figs * * *

Round to 1 sig fig and x or ÷ * * * * * * * *

x and ÷ by 20, 300, 4000 * * * * * * * * * * * *

Missing angles in figures * * * * *

Integers including - (-8) * * * * * * * * * * *

Multiply/Divide Integers * * * * * * * * * * * *

Change dec <-> frac <-> %age * * * * * * * * * *

Find %, frac, dec of amount * * * * * * * * * * * * * *

+ - x ÷ algebraic terms * * * * * *

Evaluate expressions * * * * * * * *

Areas of quads/triangles * * * *

Frac + ÷ - x mixed+top heavy * * * * * * * * * * *

Simplify Ratios * * * * * * * * * * * *

Volume * * * * *

TDS (end of 3a) * * * * * *

Ch 1 Powers and Roots * * * * * * * * * * * * *

Ch 2 Money topics * * * * * * * *

Ch 3 Mults/Factors/Primes * * * * * * * * * *

Ch 5 Harder Equations * * * * *

Ch 6 Z, F and X angles * * * * *

Ch 8 Fractions x and ÷ * * * * * * *

Ch 10 Proportion * * * * * *

Ch 11 Mean/Median/Mode * * * * * *

Ch 13 Probability * * *

...

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BODMAS * * * * * * * * * *

Book

3a

Topics


Name 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Class :- Teacher :- Level :-

Analysis of CfE Level 3 Mental Tests (Bk 3b)

their 4 support sheets, the contents list and a blank...

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