sea 2015 maths

30
0 4 2 3 4 0 1 1 FILL IN ALL THE INFORMATION REQUESTED CLEARLY AND LEGIBLY. TEST CODE SUBJECT MATHEMATICS 2015 TEST CODE SUBJECT MATHEMATICS 2015 Please place your label here. Please place your label here. READ THE FOLLOWING DIRECTIONS CAREFULLY: 1. This test is divided into THREE sections. WRITE THE NAME OF YOUR SCHOOL BELOW: 2. Make sure you read the instructions before you start to work on anrr section. Write all your answers in this test booklet. WRITE YOUR FULL NAME BELOW: DATE OFBIRTH Day Month Year 3. 4. DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. MALE tl SEX < \ FEMALE T 0 4 2 3 4 0 -t 1 AB/9 TRINIDAD AND TOBAGO TRINIDAD AND TOBAGO SECONDARY ENTRANCE ASSESSMENT SECONDARY ENTRANCE ASSESSMENT ANSWER BOOKLET ANSWER BOOKLET 5 tr E $ I I I - I - =:= - - - DO NOT WRITE IN THIS SPACE DO NOT WRITE IN THIS SPACE FOLDER NUMBER

Upload: raymond-lutchman

Post on 08-Dec-2015

226 views

Category:

Documents


12 download

DESCRIPTION

SEA 2015 Maths

TRANSCRIPT

0 4 2 3 4 0 1 1

FILL IN ALL THE INFORMATION REQUESTED CLEARLY AND LEGIBLY.

TEST CODE

SUBJECT MATHEMATICS 2015

TEST CODE

SUBJECT MATHEMATICS 2015

Please place your label here. Please place your label here.

READ THE FOLLOWINGDIRECTIONS CAREFULLY:

1. This test is divided intoTHREE sections.

WRITE THE NAME OF YOUR SCHOOL BELOW:

2. Make sure you read theinstructions before youstart to work on anrr section.

Write all your answers inthis test booklet.

WRITE YOUR FULL NAME BELOW:

DATE OFBIRTH

Day Month Year

3.

4. DO NOT OPEN THISBOOKLET UNTIL YOU ARETOLD TO DO SO.

MALE tlSEX <\

FEMALE T

0 4 2 3 4 0 -t 1

AB/9TRINIDAD AND TOBAGO TRINIDAD AND TOBAGO

SECONDARY ENTRANCE ASSESSMENT SECONDARY ENTRANCE ASSESSMENT

ANSWER BOOKLET ANSWER BOOKLET

5

tr

E

$

I

II

-I-=:=---

DO NOT WRITE IN THIS SPACE DO NOT WRITE IN THIS SPACE

FOLDER NUMBER

Instructions for the Mathematics Test

You are NOT allowed to use calculators.

This test has THREE sections with a total of 46 questions.

SECTION I has 20 questions (Nos. 1 to 20).

SECTION II has 20 questions (Nos. 21to 4O).

SECTION III has 6 questions (Nos. 4L to 46).

You have 75 rninutes for this test.

Answer ALL questions.

Read EACH question CAREFULLY before answering it.

Show ALL working in the column provided.

Marks will be given for correct steps taken.

Work carefully but do NOT spend too much time on any one question.

DO NOT BEGIN UNTIL YOU ARE TOLD TO DO SO.

0423401 1/T&T SEA 201 5

GO ON TO THE NEXT PAGE

-2-

-3-

SECTION I

Each question is worth 1 rnark. Answer ALL questions.Show ALL working in the Working Column.

No. TEST ITEMS WORKINGCOLUMN

Do NotWriteHere

1. 7 469

236r

Answer1.

KC AT PS

2. Write in figures:

Two hundred and five thousand. andseventy-three.

Answer2.

3. State the VALUE of the underlined d.igitin the following numeral.

753 29r

Answer3.

4. Write the number in the box thatCORRECTLY completes the followingsentence.

1X

T2 l-l =,0

Answer4.

042340rr1T&T sEA 2015GO ON TO THE NEXT PAGE

-4-

No. TEST ITEMS WORKINGCOLUMN

Do NotWriteHere

D. Write the following numbers indescending order (starting with theGREATEST in value).

5173, 5731, 5317

Answer D.

KC AT PS

6. write f; as a mixed number.

Answer 6.

t. A chocolate factory produces 250 boxes ofchocolates in a day. Each box contains30 chocolate bars. How many chocolatebars are produced in a day?

Answer bars 7.

8. Complete the following number sequence.

4, 9, 15, 22, 30, 39,

Answer 8.

''

't-Act.) A^1 1 /rFg-rF QEr A On 1 tr

GO ON TO THE NEXT PAGE

l'' t, ,Wru*;,|

-

I I I

:

I

I

I

I

Ix

IIII

-b-

No. TEST ITEMS WORKINGCOLUMN

Do NotWriteHere

9. Write the time shown on Clockdigital notation, on Clock B.

A, tn

Clock A

Clock

Answer

at2)11 I

9.

KC AT PS

10. Convert 2.369 kilometres to metres.

Answer metres 10.

11. What is the length of the pencil to theNEAREST centimetre?

:

Answer

-

cm 11.

04234077tT&T SEA 2015GO ON TO THE NEXT PAGE

\

-6-

WORKINGCOLUMN

Chad buys a bag of oranges for $9.50.How much change should he get if hepays with a $20.00 bill?

kgg6 763

+3286

]-4.

A laptop was advertised as shown below.

$4500plus

15% VAT

Calculate the VAT to be paid.

L4.

o42340rLlT&T SEA 2015

GO ON TO THE NEXT PAGE

\

-7 -

No. TEST ITEMS WORKINGCOLI.IMN

Do NotWriteHere

15. The following net is for a cube with edgesof 5 cm. Calculate the perimeter of thisnet.

++5cm

Answer 15.

KC AT PS

.DO rfffl

16. What is the name of the solid shape thatcan be made with the following net?

Answer 16.

042340r1/T&T SEA 2015GO ON TO THE NEXT PAGE

I

rr:o'' .qmiffil sjl#)"] li;*#.1;iy;'.1 l, i#S,ri'r;]

8-

TEST ITEMS WORKINGCOLUMN

L7. How many lines of symmetry are therein the following shaded shape?

L7.

18. Tyson is facing West and makes THREE

1

7 -turns in a clockwise direction.

Clockwise

18.

":a042340rLtT&T SEA 2015GO ON TO THE NEXT PAGE

No.Do NotWriteHere

Answer lines

KC AT PS

\E

In which direction will Tyson now befacing?

ll lr

-9-

WORKINGCOLUMN

Do NotWriteHere

Altogether, four pupils own 89 marbles.

Complete the following chart to show thetally for Tom's marbles.

Marbles Owned

Pupil Number ofMarbles

Tally

Raj 8 )*r1 tlTom

Carla 4 ItlSita 16 ).H )+r1 ).tr1l

r9,

o42340ruT&T SEA 2015GO ON TO THE NEXT PAGE

10-

WORKINGCOLIIMN

20. The following bar graph representssome TV shows viewed by the pupils ina Standard 3 class.

Popular TV Shows

How many moreSmallville for itGoodluck Charlie?

Answer

pupils need to viewto be as popular as

0

.r""t":.".t"/.P

"tt" "-tr

20.

0423401uT&T SEA 2015GO ON TO THE NEXT PAGE

t

11 -

SECTION IIEach question is worth either 2 or B marks. Answer ALL questions.

Show ALL working in the Working Column.

WORKINGCOLI.IMN

(2 marks)

Maria has 413 stamps. Her brother has49 stamps fewer than she has. How manystamps do they have ALTOGETHER?

(2 marks)

The following diagram shows a wall thatis to be covered with identical squaretiles. The shaded area is already titea.

Express the area of the, tiled portion asa decimal fraction of the area of theENTIRE wall.

Answer(2 rnarks) 23.

042340LL1T&T SEA 2015GO ON TO THE NEXT PAGE

No. TEST ITEMS Do NotWriteHere

2r. z! *+l

2I

KC AT PS

22.

sf,amps 22.

23.

't'

-12-

No. TEST ITEMS WORKINGCOLUMN

Do NotWriteHere

24. Express as a SINGLE decimal fraction

53-T_100 10

Answer(2 marks)

24.

KC AT PS

25. Jerry has 40 stickers that are either red,yellow or blue in colour. There are 24red ones, and equal numbers of blue andyellow.

Calculate the percentage of his sticker,sthat are yellow.

Answer %(3 rnarks) 25.

26. Sasha used 55% ofher savings to buy agame. She has 9135 remaining. Howmuch was her savings before buying thegame?

Answer g

(3 marks)26.

0423407L1T&T SEA 2015GO ON TO THE NEXT PAGE

13-

WORKINGCOLUMN

27. Brian and his father went fishing on theweekend (Saturday and Sunday). Theycaught 120 fishes on Saturday. Theircatch decreased by 25o/o on Sunday.

(a) Calculate the number of fishes thatthey caught on Sunday?

(2 rnarks)

How many fishes did they catchALTOGETHER on the weekend?

(1 mark) 27.

28. (a) Mummycuts Spizzas into SIXTHS.

1Kori gets T of ONE pizza.

How many SIXTHS of pizza doeshe get?

(1 mark)

@) How many SIXTHS of pizza doesmummy have remaining?

28.

042340ruT&T SEA 2015GO ON TO THE NEXT PAGE

L4-

TEST ITEMS WORKINGCOLUMN

The following diagram represents the floorspace of the library (A) and the computerroom (B) at Central Government School.The diagram consists ofidentical squares.

A-Library B- Computer Room

What is the MOST suitable unit formeasuring the area of the floor?

Answer(1 mark)

Each floor space has to be coveredwith carpet. Which ioom hasthe SMALLER floor space to becovered?

-\nsrver (1 *"rk)

042340|UT&T SEA 2015GO ON TO THE NEXT PAGE

No. Do NotWriteHere

29.

(a)

(b)

KCI ATI PS

-ID.

No. TEST ITEMS WORKINGCOLUMN

Do NotWriteHere

29. (c) Which room has the floor with theSMALLER perimeter?

Answer (1 *"rr,, 29.

KC AT PS

30. The following diagram showsa rectangular box with dimensions6 cm x 9 cm x 18 cm and a small cubewith sides of 3 cm.

R3cm

How many small cubes are neededcompletely fiIl the rectangular box?

cubes(2 marks)

18 cm

30.

31. Calculate the area of the following shape.

<_10 CrrF_-.____>

Answer cm2(2 marks)

31.

042340LUT&T SEA 2015GO ON TO THE NEXT PAGE

Answer

16

WORKINGCOLUMN

Mrs Chin got a loan of $6000 from acredit union. She took 3 years to repaythe loan at the simple interest rate of|Yo per annum. Calculate the TOTALamount of money that Mrs Chin repaid.

In the following shape, ABCD, the sidesAB and BC are both equal to 130 cm, andsides AD and CD are equal in length.The perimeter of the shape is 660 cm.

Calculate the length of the side CD'

Answer CD =

33.

o42340LrlT&T SEA 2015

GO ON TO THE NEXT PAGE

-t7-

No. TEST ITEMS WORKINGCOLUMN

Do NotWriteHere

34. The side of each square on the followinggrid is 3 cm.

Complete EACH of the followingstatements.

(a) The area of ONE square on the

grid is cm2

&)

(1 mark)

The TOTAL shaded area on the

grid is cm2(2 marks)

34.

KC AT PS

:i ,

042340LL1T&T SEA 2015GO ON TO THE NEXT PAGE

18

WORKINGCOLUMN

35. Mr Lewis needs to buy some materials.He receives the following cost statementsfrom two hardware stores. A and B.respectively.

HARDWARE STORE A

Transportation $80.00

HA.RDWARE STORE B

Transportation Free! Free! Free!

(a) Complete the bill statement for thematerials from Hardware Store A.

(1 mark)

(b) The hardware store MUSTtransport the materials. Which

- hardware store offers Mr Lewisthe better purchase?

Quantity Material UnitCost

Price

A Bags of cement $30.00 $120.00

I Load ofsand $700.00 $700.00

50 Bricks $s.00

Total

Quantity Material UnitCost

Price

4 Bags of cement $3s.00 $140.00

I Load ofsand s700.00 $700.00

50 Bricks $6.s0 $32s.00

Total $l16s.00

(2 marks)35.

04234011/T&T SEA 2015

GO ON TO THE NEXT PAGE

Do NotWriteHere

-19-

TEST ITEMS WORKINGCOLUMN

In the following diagram, the dottedline AB is a line of symmetry for theincomplete shaded shape.

Complete the drawing of the shape.(2 marks)

A B

\

\

36.

0423401L1T&T SEA 2015GO ON TO THE NEXT PAGE

Do NotWriteHere

J

-20-

No. TEST ITEMS WORKINGCOLUMN

Do NotWriteHere

37. (a) The following diagram is incomplete.

Complete the diagram to representthe net of a triangular prism.

(1 mark)

(b) How many edges does a triangularprism have?

Answer edges(1 rnark)

37.

KC AT PS

0423401L1T&T SEA 2015GO ON TO THE NEXT PAGE

-2r-

WORKINGCOLUMN

Three triangles, P, Q and R are shownbeiow.

(a) Which ofequilateral?

Answer

triangles is

(t mark)

(b) Which of the triangles have ATLEAST ONE line of symmetry?

Answer(2 rnarks)

10 cm

38.

042340IL1T&T SEA 2015GO ON TO THE NEXT PAGE

TEST ITEMS

12 crn

12c?Azcm

12 cm

-22-

No. TEST ITEMS WORKINGCOLUMN

Do NotWriteHere

39. The following diagram shows a flatshaded shape, ABCD.

39.

KC AT PS

(a) Circle the word from the followinglist which BEST describes theangle at C.

Acute

Obtuse

Right-angled

Reflex

(b)

(1 mark)

On the diagram of ABCD, tick(r/) tfre TWO sides which arePARALLEL to each other.

(1 mark)

On the diagram, draw ONE line todivide the shape ABCD into TWOtriangles.

(1 mark)

(c)

Do NOTUBT.EpTH'ERE; lr*p'., 1,:{

042340LL1T&T SEA 2015GO ON TO THE NEXT PAGE

Ai l- l--i-r- i--i-iJ-i i"i"i i t-i T-i

't'

-! "1'

-i."i-'f-i-1"t

.i,...i..t!

T "i'"i"i"i-l

"D c

"r

23

WORKINGCOLUMN

40. The following incomplete table showsthe number of Standard 4 pupils ina school who qualified for the MentalMathematics Competition.

Mathernatics Competition

Standard 4 Number ofPupils whoQualified

4J I7

4K

4L 18

4M L7

4N 2l

The mean number of pupils who qualifiedfrom Standard 4 is 1g. How manypupilsqualified from Standard 4K?

(2 marks) 40.

0423407L1T&T SEA 2015GO ON TO THE NEXT PAGE

-24-

SECTION III

Each question is worth 5 marks. Answer ALL questions.Show ALL working in the Working Column'

WORKINGCOLUMN

Suri and MaIi played a game of darts.Each made six strikes. The followingdiagram shows the number of Pointsearned for striking the patterns on thedart board.

Stripes = 10 pointsDots = 20 points

Black = 30 points

(a) Suri made two strikes on stripes,three on dots and one on black'What is her TOTAL score?

(2 marks)

n /d^.n r i ,mO tTl CrT;r A On 1 r

GO ON TO THE NEXT PAGE

25-

WORKINGCOLUMN

Mali scored 150 points by strikingeach pattern AT LEAST ONCE.Complete the following score sheetto show how she scored 1b0 points.

(2 marks)

What is the LOWEST score possibleif in the six strikes, a player hitsEACH pattern at LEAST ONCE?

Pattern Number ofStrikes

Score

Stripes

Dots 1 20

Black

Total 6 150

4r.

042340r1tT&T SEA 2015GO ON TO THE NEXT PAGE

(1 mark)

Do NotWriteHere

-26-

TEST ITEMS WORKINGCOLUMN

42. Use the numbers given in the box belowto complete the statements which follow.

636

11 2l

49 24

(a) The SQUARE numbers in the boxaIe

(2 marks)

(b) The SQUARE ROOT of 121 is

(1 rnark)

The TWO numbers which havea product that is equal to theSQUARE of L2 are

(2 marks)42.

0423407UT&T SEA 2015GO ON TO THE NEXT PAGE

No.

-27 -

No. TEST ITEMS WORKINGCOLUMN

Do NotWriteHere

43. Akil saved $50 at the end of each week tobuy the pair of roller skates shown below.

ROLLER SKATES

(a) How many weeks didto save $500?

Answer

it take him

weeks

(b)

(1 mark)

He paid in cash and received adiscount. After discount, he paid$400. What was the percentagediscount he received?

Answer %(2 rnarks)

(c) Akil paid the cashier the EXACT$400 which included ONE or moreof EACH bill.

Complete the table below to findthe LEAST number of bills thatAkil gave the cashier.

43.

KC AT PS

I

Bin $100 $50 $20 $10 $5FNumberof Bills

Answer bills(2 rnarks)

o42340ruT&T SEA 2015GO ON TO THE NEXT PAGE

-28-

No. TEST ITEMS WORKINGCOLUMN

Do NotWriteHere

44. The following diagram shows the number oflong mats (L) and short mats (S) arrangedaround a rectangular playing field.

2-l

The length and width, in metres, of eachtype of rectangular mat are shown below.

Long mat, LBffio.r -4rn

Calculate:

Short mat, Sf-f o.s m2rn

(a) The length of the playing field

Answer

(b)

(1 mark)

The width of the playing field

Answer

-

m(1 rnark)

The area of a short mat

Answer

-

m2

. (1 rnark)

The number of short mats thatwould be needed to cover the areaof the playing field COMPLETELY

(c)

(d)

Answer short mats(2 rnarks) 44.

KC AT PS

.t+ 1.i;

042340rr1T&T SEA 2015

i GO ON TO THE NEXT PAGE

-29-

45. The following diagram shows a triangle,PqR, and the position of its image after amovement.

.{P -a f

\ a

\R

Circle the word from the followinglist which BEST describes trianglEPQR,

(a)

Right-angled

Scalene

Isosceles

Equilateral

(1 mark)

Identify the type of movement.

Answer(1 rnark)

Describe the movement FULLy.

Answer

(2 marks)

Label the image of Point e as e, .

(1 rnark)

(b)

(c)

(d)

042340r1/T&T SEA 2015GO ON TO THE NEXT PAGE

WORKINGCOLUMN

TEST ITEMS Do NotWriteHere

TEST ITEMS WORKINGCOLUMN

46. The following table shows the numberof chairs rented and returned to ZippyParty Rentals for the period Monday toFriday of a week in May.

Chair Rentals

On which day was the rental ofchairs CLOSEST to 1000?

Answer(1 rnark)

(b) The number of chairs returnedfor the week was 306. Calculatethe number of chairs returned onThursday if twice as many werereturned on Tuesday as returnedon Thursday.

(2 marks)

What is the mean number of chairsrented over that period in May?

(2 rnarks)

Mon Tue Wed Thur FriNumberof Chairsrented

113 367 258 969 1083

Numberof Chairsreturned

46 96 62

46.

-30-

END OF TEST

BEFORE.TIME IS CALLED. CHECK YOUR WORK ON THIS TEST.IF YOU FINISH

No.Do NotWriteHere

KC AT PS

(a)

Answer chairs

(c)

Answer chairs