Mathematics paper F

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Transcript of Mathematics paper F
FPAPER
DO NOT OPEN THIS BOOKLET UNTIL INSTRUCTED.
STUDENT’S NAME:
Read the instructions on the ANSWER SHEET and fill in your NAME, SCHOOL and OTHER INFORMATION.Use a 2B or B pencil. Do NOT use a pen.Rub out any mistakes completely.
You MUST record your answers on the ANSWER SHEET.
MatheMaticsMark only ONE answer for each question.Your score will be the number of correct answers.Marks are NOT deducted for incorrect answers.
MULTIPLECHOICE QUESTIONS:Use the information provided to choose the BEST answer from the four possible options. On your ANSWER SHEET fill in the oval that matches your answer.
FREERESPONSE QUESTIONS:Write your answer in the boxes provided on the ANSWER SHEET and fill in the oval that matches your answer
You may use a ruler and spare paper.A CALCULATOR is required.
Practice
Questions
international competitions and assessments for schools
ICAS Mathematics Practice Questions Paper F © EAA 2
1. Alan uses this spinner in a game.
(D)(A) (C)(B)
On which symbol is the arrow most likely to stop?
(D)(A) (C)(B)
2. Fran’s father has agreed to pay her $1.50 per square metre for painting the wall shown.
3 m
7 m
How much will Fran be paid when she finishes painting the whole wall?
(A) $10.50(B) $14.00 (C) $31.50(D) $42.00
3. This picture shows an airport departure screen.
Time13:0013:2513:3513:4513:5013:50
Flight NumberF973F613F023F255F340F812
DestinationLondon
SingaporeHong KongNew York
ParisAuckland
GateRSRSRS
Which flight leaves 15 minutes before the Paris flight?
(A) F023(B) F812(C) F613(D) F973
3 ICAS Mathematics Practice Questions Paper F © EAA
4. Mary drew this graph to show the amount of Vitamin C in some different types of food. She did not complete the vertical scale.
Natural Sources of Vitamin C
Food
apples 6
blackcurrants 50
pineapples 30
oranges 50
lemons 50
tomatoes 25
Vita
min
C
(A)
Food
apples 6
blackcurrants 100
pineapples 30
oranges 50
lemons 50
tomatoes 50
Vita
min
C
(B)
Food
apples 6
tomatoes 50
pineapples 30
oranges 50
lemons 50
blackcurrants 200
Vita
min
C
(C)
Food
apples 6
tomatoes 25
pineapples 30
oranges 50
lemons 50
blackcurrants 200
Vita
min
C
(D)
oranges
lemons
tomatoes
applespineapples
blackcurrants
Which of these tables could be correct for Mary’s graph?
Natural Sources of Vitamin C
Food
apples 6
blackcurrants 50
pineapples 30
oranges 50
lemons 50
tomatoes 25
Vita
min
C
(A)
Food
apples 6
blackcurrants 100
pineapples 30
oranges 50
lemons 50
tomatoes 50
Vita
min
C
(B)
Food
apples 6
tomatoes 50
pineapples 30
oranges 50
lemons 50
blackcurrants 200
Vita
min
C
(C)
Food
apples 6
tomatoes 25
pineapples 30
oranges 50
lemons 50
blackcurrants 200
Vita
min
C
(D)
oranges
lemons
tomatoes
applespineapples
blackcurrants
5. Michael is skipping to keep fit. His exercise program makes a number pattern.
15
Numberof skips
30
45
60
??
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Day
Using this pattern, how many skips will Michael do on Saturday?
(A) 80(B) 90(C) 100(D) 105
6. This is a diagram of a triangle.
NOT TO SCALE
x y(A) 70 120(B) 50 120(C) 70 100(D) 50 100
Which of these cannot be values for x and y?
NOT TO SCALE
x y(A) 70 120(B) 50 120(C) 70 100(D) 50 100
ICAS Mathematics Practice Questions Paper F © EAA 4
7. A snail travelled 1.5 metres in 4 hours.
If the snail continued at the same speed, how far would it travel in 160 minutes?
(A) 60 cm(B) 100 cm(C) 150 cm(D) 600 cm
8. Sandy makes a model using cubes of side one centimetre. The model has four ‘wings’ built on a central block, as shown.
What is the total surface area of the model, in cm2?
(A) 90 (B) 85 (C) 81(D) 71
9. What would be the 98th symbol in this pattern?
(A)
(B)
(C)
(D)
(A)
(B)
(C)
(D)
10. Ricky is thinking of a positive 3digit number.
‘If I subtract 9 from the number,the result will be divisible by 9.If I subtract 10 from the number,the result will be divisible by 10.If I subtract 11 from the number,the result will be divisible by 11.’
What is the lowest possible number Ricky is thinking of?
END OF PAPER
QUESTION10ISFREERESPONSE.WriteyouranswerintheboxesprovidedontheANSWERSHEETandfillintheovalsthatmatchyouranswer.
5 ICAS Mathematics Practice Questions Paper F © EAA
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FIRST NAME to appear on certificate LAST NAME to appear on certificate
Are you male or female? Male Female
Does anyone in your home usually speak a language other than English? Yes No
School name:
Town / suburb:
Today’s date: Postcode:
CLASSDATE OF BIRTHDay Month Year
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HOW TO FILL OUT THIS SHEET:
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M THE UNIVERSITY OF NEW SOUTH WALES
International Competit ions and Assessments for Schools
PRACTICE QUESTIO
NS
*045908*
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ICAS Mathematics Practice Questions Paper F © EAA
QUESTION KEY SOLUTION STRAND LEVEL OF DIFFICULTY
1 A The arrow will be most likely to stop on the symbol with the greatest frequency (3 out of 8)
Chance and Data Easy
2 C The area of the wall is 3 × 7 = 21 square metres. She will be paid 21 × $1.50 = $31.50. Measurement Easy
3 A
From the table you can see that the Paris flight departs at 13:50. Fifteen minutes before that is 13:35 and that is the time when flight F023 departs.
Measurement Easy
4 D
With a careful look at all options, the main difference is the ratio of tomatoes to blackcurrants. Using the given graph, the ratio of tomatoes to blackcurrants is 1:8. Only option D gives this ratio.
Chance and Data Easy
5 B
Observing the pattern, Michael does 15 more skips every day. Therefore, on Friday he will do 75 skips and on Saturday he will do 15 more and that is 90.
Algebra and Pattern Medium
6 A The sum of x and y adds to 190° which is more than the angle sum of a triangle (180°).
Space and Geometry Medium
7 B
Convert hours to minutes and m to cm first.
The snail travelled 1.5 m in 4 hours. That is
equal to 150 cm in 240 min.
Distance travelled in 1 min = 150240
150240
× 160 cm
Distance travelled in 160 min = 150240
150240
× 160 cm
= 100 cm
Number and Arithmetic Medium
8 A
The total surface area is equal to the surface area of the front (9 cm2) plus the back (9 cm2) plus the surface area of the 2 sides (2 × 5 = 10 cm2) and the base and top (2 × 5= 10 cm2) plus the surface area of the 4 wings (4 × 13= 52 cm2).Add up all quantities = 90 cm2
Measurement Medium
ICAS Mathematics Practice Questions Paper F © EAA
Level of difficulty refers to the expected level of difficulty for the question.
Easy more than 70% of candidates will choose the correct option
Medium about 50–70% of candidates will choose the correct option
Medium/Hard about 30–50% of candidates will choose the correct option
Hard less than 30% of candidates will choose the correct option
9 C
The pattern is made up of a set of 5 symbols
(A)
(B)
(C)
(D)
that repeats itself.
Therefore, as 985
35
= 19 , the 98th element will be 19 whole sets plus the first 3 symbols of the next set. The third element of the set is a
(A)
(B)
(C)
(D)
.
Number and Arithmetic Medium/Hard
10 990 990 is the lowest common multiple of 9, 10 and 11.
Number and Arithmetic Hard