d-c revision booklet

8/12/2019 D-C Revision Booklet

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Name..

Holiday Revision

10-4-10Ten minutes a day for ten days


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10-4-10Year 11 mathematics: holiday revision

Non-CalculatorDAY 1

1. One night at a school concert the audience is made up as follows:

14

a r e m e n , a r e w o m e n , a n d t h e r e s t a r e c h i l d r e n .35

(a) (i) What percentage of the audience are children?

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(2)

(ii) What fraction of the audience are children?

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(3)

() !he ne"t night the audience is made up in the following ratio:

m e n : w o m e n : c h i l d r e n # $ : 4 : 3 .

!here are $%& people in the audience.

'alculate the numer of men.

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........................................................................................................................(2)

$


3/23


CalculatorDAY 1

2. (a) iss *ans earns +$4& per wee.

-he is awarded a pa rise of 3.5/.

r 0ale earns +$$& per wee.

e is awarded a pa rise of 4/.

Whose weel pa increases the greater amount of mone?

2ou must show all our woring.

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nswer ..................................................................(4)

() n $&&3 the -tate ension was increased $/ to +%6.&3.

What was the -tate ension efore this increase?

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nswer + .............................................................(3)

3


4/23


Non-CalculatorDAY 2

3. n the ear 17&&, estimates were made of the numers of three tpes of whales.

!he estimates were made again in 1773.

!he information for the -ei Whales is not shown on the diagram.

2 e a r1 7 & &

2 e a r1 7 & &

2 e a r1 7 & &

2 e a r1 7 7 3

2 e a r1 7 7 3

2 e a r1 7 7 3

$ & & & & &

5 & & & & &

4 & &

1 4 & & & &

B l u e W h a l e

F i n W h a l e

S e i W h a l e

(a) 8ind the following fraction, gi*ing our answer in its simplest form.

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() 'alculate the percentage decrease in the numer of 8in Whales etween

the ears 17&& and 1773.

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(c) !he ratio of -ei Whales for 17&& to -ei Whales for 1773 is 5 : 1.

!he comined total of these whales for the two ears was 3&& &&&.

ow man -ei Whales were estimated in 17&&?

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4

17&&inWhales9lueofumer

1773inWhales9lueofumer


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(2)


CalculatorDAY 2

4. ;ames in*ests +%&& for $ ears at 1&/ per ear compound interest.

ow much interest does he earn?

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nswer + ....................................................................(2)

5


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Non-CalculatorDAY 3

5. 2ogurt is sold in small pots and large pots.

(a) small pot costs $& pence.

large pot costs 15&/ more.

ow much does a large pot cost?

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nswer ........................................ pence(2)

() !he ratio of the weight of a small pot to the weight of a large pot is 3 : 11.

!he weight of a small pot is 1$& g.

What is the weight of a large pot?

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nswer ................................................. g(3)

(c) !he weight of a small pot is correct to the nearest gram.

What is the minimum weight of a small pot?


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nswer ................................................. g(1)


CalculatorDAY 3

6. Wor out:

+7.


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Non-CalculatorDAY 4

7.

!he diagram shows a right=angled triangleABCand a circle.

A,Band Care points on the circumference of the circle.

ACis a diameter of the circle.

>sing thagoras find the length of the diameter '.

@i*en is appro"imatel 3.14

'alculate the area of the shaded part of the circle.

(6 marks)

6


9/23


CalculatorDAY 4

8. -idne places the foot of his ladder on horiAontal ground and the top against a *ertical

wall. !he ladder is 1< feet long.!he foot of the ladder is 4 feet from the ase of the wall.

(a) Wor out how high up the wall the ladder reaches.

@i*e our answer to 3 significant figures.

(b) Wor out the angle the ase of the ladder maes with the ground.

@i*e our answer to 3 significant figures.

(6 marks)

7


10/23


Non-CalculatorDAY 5

9. !he diagram is a drawing of a triangular prism.

< cm

5 cm$ cm

A

B C

D

(a) 'alculate the area of triangleABC.

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(2)

() 'alculate the *olume of the prism.

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1&


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CalculatorDAY 5

10. !he diagram shows a clinder.

!he height of the clinder is $


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Non-CalculatorDAY 6

11. (a) !he triangle has anglesxB, $xB and 64B as shown.

8ind the *alue ofx.

6 4 B

x B $ Bx

o t d r a w na c c u r a t e l

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nswer .................................................... degrees(3)

() 5($xC 1) # 35,

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(c) 4x D 3 # 16 C $x.

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(2)

1$


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CalculatorDAY 6

12. !he angles of a Euadrilateral are %3B, $xB, 3xB and 1&$B.

$ Bx

1 & $ B

3 Bx

% 3 B o t d r a w n a c c u r a t e l

(a) Write down an eEuation inx.

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........................................................................................................................(2)

() >se our eEuation to find the largest angle in the Euadrilateral.

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nswer ............................................................ degrees(3)

(c) -ol*e

3

q# %.4

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nswer q# ..........................................................................................................

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...(2)


Non-CalculatorDAY

13. (a) -implif

1&dD 3eC $dC %e

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nswer ....................................................(2)

() (i) "pand and simplif ($x3)(3xD 5)

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nswer ....................................................(3)

(ii)ultipl out and simplif (n D 3)$

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.

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nswer ....................................................(3)

(c) -implif

(i) y4y

=3

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nswer ....................................................(1)

(ii) y4y

5

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nswer ....................................................(1)

14


15/23


CalculatorDAY

14. (a) "pand and simplif

x($xC 3) D 4(x$D 1)

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...............

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nswer ....................................................(3)

() 8actorise 4c D


16/23

(2)


Non-CalculatorDAY !

15. ;ames plants some sunflower seeds.

e plants two seeds in each pot.

!he proailit that a seed grows is5

4

!he proailit tree diagram shows the outcomes for the two seeds in a pot.

(a) 'omplete the proailit tree diagram.

@ r o w

: o t g r o w

@ r o w

: o t g r o w

@ r o w

: o t g r o w

45

. . . . . . . . .

. . . . . . . . .

. . . . . . . . .

. . . . . . . . .

. . . . . . . . .

F i r s t s e e d S e c o n d s e e d

(2)

() (i) What is the proailit that oth seeds grow?

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(2)

(ii) What is the proailit that at least one seed grows?

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.............................................................................................................(2)

1


17/23

@F)):

9G > )

F

)

0


CalculatorDAY !

16(i). Futh made a spinner with three colours, green, lue and red.

-he tested it spinning it 5&& times.

er results were

$$% landed on green

1%< landed on lue

7% landed on red.

(a) stimate the proailit of the spinner landing on lue.

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() n a game, the spinner is used 1&& times.

ow man times would ou e"pect the spinner to land on lue?

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16(ii).(a) !hree cards are numered 1, 3 and 4.!hree discs are numered $, 4 and 5.

game consists of picing one card at random and one disc at random.

!he numers on the card and disc are added together.

'omplete the tale to show all the possile totals.

Disc

2 4 5

'ard 1 3

3

4

(b) What is the proailit of getting a total which is an e*en numer?.

(4)

1%

1 3 4 $ 4 5


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Non-CalculatorDAY "

17. Write down the nth term for each of the following seEuences.

(a) 3,


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CalculatorDAY "

18. seEuence of numers is shown elow.

!he first two terms are 3 and 4.

!he remaining terms are found adding together the two pre*ious terms.

3, 4, %, 11, 16, $7, . . .

(a) Write down the ne"t two terms in the seEuence.

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() !he numers from the first seEuence are used to find the terms of a secondseEuence as shown elow.

!he terms are gi*en to $ decimal places.

4 H 3 # 1.33

% H 4 # 1.%5

11 H % # 1.5%

(i) 'alculate the ne"t three terms of this second seEuence.

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.

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(ii) Write down what ou notice aout the terms in the second seEuence.

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(3)

17


20/23


Non-CalculatorDAY 10

19. !en pupils too two e"amination papers in athematics.

!heir mars out of 5& were as follows.

a p e r 1

a p e r $

4 4

4 3

$ 4

$ 6

4 &

3 6

4 6

4 $

3 &

3 $

$ 5

3 &

1 &

$ 5

3 %

3 5

3 6

4 &

3 4

3 %

(a) On the grid elow draw a scatter diagram of these mars.

(2)

() 0raw a line of est fit for the points ou ha*e plotted.

(1)

$&


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Non-CalculatorDAY 10

(c) Omar was asent for aper $. e scored 3$ mars on aper 1.

(i) What mar do ou thin it fair to gi*e him for aper $?

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(ii) -tate how ou got our answer.

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.............................................................................................................(2)

(d) !hese pupils also too an e"amination paper in rt and one in 'hemistr.

scatter diagram of these mars is drawn.

ow might it e different from the one drawn for the two athematics

papers?

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(1)

$1


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CalculatorDAY 10

20. !he countries of the world are di*ided into Ide*elopedJ and Iunder=de*elopedJ

countries.

!he freEuenc tale shows the distriution of ages for the population in the

de*eloped countries.

!he figures are percentages and were estimated for the ear 1765.

ge

(years)

ercentage of

population

'umulati*e

ercentage

& Ky15 17

15 Ky3& $$

3& Ky45 $&

45 Ky


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CalculatorDAY 10

() (i) What was the median age for the population in de*eloped countries

in 1765?

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(1)

(ii) !he median age for the population in the under=de*eloped countries

in 1765 was $1.

What do the medians tell ou aout the difference etween the

population in the de*eloped countries and the population in the

underde*eloped countries?

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(2)

$3

d-c revision booklet

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