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### Transcript of SEA Maths 2014 Math · PDF file seashells on Saturday and three times as many on Sunday....

SEA MATHEMATICS 2014

SECTION I

No.

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1.

2.

Write 3.49 to the NEAREST TENTH. Answer = 3.5

Units Tenths Hundredths 3. 4 9

9 is the deciding digit. It is more than or equal to 5, so we add 1 to the tenths digit. We now ignore all digits to the right of the tenths digit.

3.

A pizza was cut into 12 equal slices, as shown below.

The number of equal slices is 12.

of the pizza

= 4 slices We may shade a total of ANY 4 slices.

4 1 7 − 3 9 2

2 5

34 1 10+

7 − 3 9 2

2 5

¯

3 . 4 9

1 ignore

3 . 5 to the nearest tenth

+ ­

1 3

1 3

( )1 12 3

=

No.

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4. Write ONE of the following symbols

in the box below so that the number sentence is correct.

To compare the two fractions it would be best for them to be expressed with the same denominator.

We compare and by looking at

their numerators. 9 is greater than 7.

is a larger fraction than

and so, .

5.

A piece of ribbon is m long.

A piece measuring m is cut

off. What is the length, in metres, of the remaining piece?

The length of the remaining piece of ribbon = The length of the uncut ribbon – The length of the piece that was cut off

OR

> = <

3 7 4 12

>

3 3 3 4 4 3

9 12

= ´

=

\ 9 12

7 12

9 12

\ 7 12

9 7 12 12

> 3 7 4 12 >

7 10 2 5

3 10

7 2 10 5 7 4 10 10 7 4 10 3 m

10

= -

= -

- =

=

( ) ( )

7 2 10 5 1 7 2 2

10 7 4 10 3 m

10

= -

- =

- =

=

No.

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6.

Questions 6 and 7 refer to the following information. In a spelling contest, Peter was given 40 words to spell. He spelt 32 words correctly. What fraction of the total number of words did he spell correctly?

Fraction of words that are spelt correctly

7.

Peter must spell at least 90% of the words correctly to qualify for a consolation prize. How many words should he have spelt correctly to qualify? Answer = 36 or more words

To qualify for a prize, Peter must spell at least 90% of the words correctly.

90% of 40 words words

= 36 words Hence, Peter needs to spell 36 or more words correctly, from the 40 words given. (Peter will qualify for the consolation prize if he spells 36 or 37 or 38 or 39 or all 40 words correctly).

4 5

No. of words spelt correctly No. of words given

32 40 4 5

=

=

=

90 40

100 = ´

No.

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8. The first four shapes in a pattern are shown below. EACH shape is made from squares of the same size.

How many squares would form the 6th shape? Answer = 36 squares

Shape Pattern No. of Squares

1st 1

2nd

4

3rd

9

4th

16

5th

25

6th

36

Therefore, in the 6th shape we can expect 36 squares.

9.

Express 1 litre in cm3 1 litre = 1000 cm3

1 litre = 1000 ml 1 ml = 1 cm3 (or 1 cubic centimetre)

1 litre = 1000 cm3

10.

Express 120 minutes in hours 120 minutes = 2 hours

1 hour = 60 minutes 60 minutes = 1 hour

1 minute hour

120 minutes hours

= 2 hours

( )1 1´

( )2 2´

( )3 3´

( )4 4´

( )5 5´

( )6 6´

\

1 60

=

1 120 60

= ´

No.

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11. The length of a carrot is measured below.

What is its length to the NEAREST centimetre? Answer = 5 cm

The end of the carrot (indicated by the blue line) lies before the halfway mark (shown red) between 5 cm and 6 cm. Hence, the length of the carrot is 5 cm, when measured to the nearest cm.

12.

A square sheet of paper has sides of 11 cm. What is its area? Answer = 121 cm2

Area of the square sheet of paper

= 11cm × 11 cm = 121 𝑐𝑚*

13.

Shari has 4 coins on her desk. They have a total value of 50¢. The value of two coins is shown in the diagram below.

Write the correct value on EACH of the other 2 coins. Answer = One 10¢ and One 25¢ as shown in red

The total value of all 4 coins in 50¢. We are shown: 1 coin with a value of 10¢ and 1 coin with a value of 5¢. The value of these two coins together = 10¢ + 5¢ =15¢ Hence, the value of the remaining two coins = 50¢ - 15¢ = 35¢ Coins are made in the values of 1¢, 5¢, 10¢, 25¢ and 50¢. Two coins must have a total value of 35¢. Therefore, they must be one 10¢ and one 25¢.

No.

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14. A sales clerk is preparing a tag to show the selling price for a television.

Complete the tag below.

Cost Price \$1 740.00 Discount \$ 174.00 Selling Price

Cost Price \$1 740.00 Discount \$ 174.00 Selling Price \$1 566.00

Selling price = Cost price – Discount

(It is better if, \$1 740, be referred to as the ‘Marked Price’, since ‘Cost Price’ is actually the price that is paid for an item)

15.

A square, labelled S, and a rectangle, labelled R, are shown below. (The shapes are not drawn to scale.)

Both shapes have the same area. Calculate the width, w, of the rectangle R? Answer = 4 cm

The area of the square, S, is the same as the area of the rectangle, R. Area of the square = 100 cm2 Area of the rectangle = 25 × width Hence, 25 × width = 100 But we know that

25 × 4 = 100 Hence the width of the rectangle = 4 cm.

\$1 740 \$ 1 74

\$1 5 66

= -

10 cm 10 cm= ´

No.

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16. The triangle below has ONLY two sides of equal length.

What type of triangle is it? Answer: Isosceles

A triangle with only two equal sides is called isosceles. Such a triangle may also be identified by having only two equal angles.

17.

Complete the drawing below to show the net of a triangular-based prism.

The incomplete net of a triangular – based prism given is

The prism would have three (3) equal rectangular faces and two (2) equal triangular faces. Hence, the completed net would look like:

When folded the solid figure would look like:

No.

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18. Sunil changes the position of the arrow on the circular dial shown below.

He makes a quarter turn ANTI-CLOCKWISE. At which number is the arrow now pointing? Answer = 7

A whole turn is 3600 The dial is divided into 8 equal parts. Therefore, each angle is 3600 ÷ 8 = 450

1 4 𝑡𝑢𝑟𝑛 =

3604

4 = 90 4

The dial is turned about 900 in an anti- clockwise direction.

Therefore, the dial will now point to the number 7.

No.

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19.

Cookies were packaged in three bags as shown below.