Form3 Main Half-Yearly 2015 Page 1 of 10

Question 1 2 3 4 5 6 7 8 9 10

11 Main

Paper

Non-

Calculator

Total

Mark

INSTRUCTIONS TO CANDIDATES

CALCULATORS AND MATHEMATICAL INSTRUMENTS ARE

ALLOWED BUT ALL NECESSARY WORKING MUST BE SHOWN.

ANSWER ALL QUESTIONS.

THIS PAPER CARRIES A TOTAL OF 75 MARKS.

SECONDARY SCHOOLS

HALF-YEARLY EXAMINATIONS

2014/2015

FORM 3

Time: 1hr 30 min

Name:___________________________________________ Class:__________________

TRACK 2

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730 ml 1300ml

50 ml 2 litres

1. Simplify these ratios as much as possible:

(i) 3 : 12 = __________ (1)

(ii) 5 : 25 : 40 = __________ (1)

(iii) 2 minutes : 30 seconds = __________________ (1)

(iv) 300 m : 1 km = ____________________ (1)

(v) 1 kg : 50 g = __________________ (1)

b) Sam and Jane share €350 in the ratio of 5 : 2. How much does each receive? (4)

Ans: Sam = €__________ Jane = €__________

(Total: 9 marks)

2. Which bottles can hold 0.75 litres? (3)

A B C D

Ans : Bottles _______________

a)

a)

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Name: ____________________________ Class: _______________

b) A container has 700ml of water.

It is poured into a 1 litre bottle. How much more water can still be poured into the

bottle? (2)

Ans: __________ml

(Total: 5 marks)

3. a) Kurt’s freezer was set at − 11oC. He turned it up to − 3

oC. By how many

degrees did he increase the temperature? (2)

Ans: _____oC

b) Complete this number wall. (3)

The number in each brick is found by adding those in the two bricks below it.

(Total: 5 marks)

9 −3

−6

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4. a) Write an expression for the perimeter P of this pentagon. (3)

Ans: P = ________________________________

b) Simplify your expression. (2)

Ans: _______________

(Total: 5 marks)

5. Ella recorded the total amounts of money she saved each week for 5 weeks in her

piggy bank. Here are her savings:

€20.15, €10.50, €25, €36.25, €15.50

Calculate the mean and the median of these amounts of money.

Ans: Mean = __________ (2) Ans: Median = __________ (2)

(Total: 4 marks)

𝟐𝒙+ 𝟑 𝟐𝒙+ 𝟑

𝒙

𝟒𝒙 𝟒𝒙

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Name: ____________________________ Class: _______________

6. The sides of the rectangle below are 3 cm and ( + long.

a) Write down an expression for the area of this rectangle. (2)

Ans: __________cm2

b) What is the area of the rectangle when (2)

Ans: __________cm2

(Total: 4 marks)

7. A TV programme starts at 15:00. There is a 30 minute

break for the news at 15:45.

a) How long is the first part of the programme? (1)

Ans: _____minutes

𝟐𝒙+ 𝟏 𝒄𝒎

𝟑 𝒄𝒎

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b) The programme continues for another 35 minutes after the news. At what time

does the TV programme finish? (1)

Ans: ________

c) Write down the time when the programme finishes using the 12-hr clock. (1)

Ans: _______

(Total: 3 marks)

8. Solve the following equations: (6)

(i) + (ii)

Ans a) (i) Ans a) (ii)

b) One packet of sweets costs cents. Ruth buys 5 packets and has 50 cents change

from €5. Write down an equation for and solve it. (4)

Ans:

(Total: 10 marks)

a)

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9. Cuboids A and B are similar solids. (The diagrams are not to scale).

a) Write down and simplify the ratio of their:

(i) lengths = __________ (1)

(ii) widths = _________ (1)

(iii) heights = __________ (1)

b) Work out the volume of cuboid A and the volume of cuboid B. (4)

Ans: Volume of cuboid A = __________ cm3

Volume of cuboid B = __________ cm3

c) Write down and simplify the ratio of the volume of cuboid A to the volume of

cuboid B. (2)

Ans: __________

(Total: 9 marks)

3 cm

4 cm

2 cm

2 cm

6 cm

1 cm

B

A

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10. a) Consider the following two situations:

Marc earns €650 per week and gets a 2% pay rise.

Harry earns €450 per week and gets a 4% pay rise.

i) How much more does each receive? (4)

Ans: Marc = €_____

Harry = €_____

ii) Who gets the larger pay rise (in €) and by how much?

(2)

Ans: ________, _______

b)

i) Kurt booked a flight to Rome one month before he travelled. How much did he

save?

Ans: _______________ (2)

ii) How much did it cost?

Ans: _______________ (1)

(Total: 9 marks)

Rome €90

15% off if booked 1 month

before travel!

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11. The following is a list of shoe sizes of 30 children in a class.

a) Fill in the Frequency Table to show this information. The first one has

been done for you. (4)

Shoe size, Tally Frequency

3 ׀׀׀ 32 > ≥ 30

32 ≤ < 34

34 ≤ < 36

36 ≤ < 38

38 ≤ < 40

b) Draw a histogram to represent this information. (3)

32 35 31 38 39 32 32 32 33 38

35 31 36 39 35 36 35 37 33 35

35 35 37 35 38 36 38 31 37 36

Shoe Size, 𝑥

Type equation here.

Type equation here.

Fre

qu

ency

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c) The pie chart shows the sale of ice cream with different flavours during a

school activity. The total number of ice creams sold was 600.

i) What fraction of the ice creams sold was chocolate flavour? (1)

Ans: _______________

ii) How many chocolate flavour ice creams were sold? (1)

Ans: __________chocolate flavour ice creams were sold.

iii) Fill in the frequency table below: (3)

Flavour Chocolate Vanilla Strawberry Mint

Frequency 200

(Total: 12 marks)