Free OLNA Numeracy Questions and Answers — Questions and Answers
Question 1: A nanosecond is one billionth of a second. <br> Which of the following is a nanosecond?
- 1/1 000 000
- 1/10 000 000
- 1/100 000 000
- 1/1 000 000 000 (Correct answer)
Correct answer: 1/1 000 000 000
Explanation: <br> One billion is one thousand million or 1 000 000 000. <br> So, therefore, one billionth is one over a billion.
Question 2: A map has a scale of 1 centimetre representing a distance of 2 kilometres in real life. <br> What is the appropriate scale for the map?
- 1:2
- 1:2000
- 1:20 000
- 1:200 000 (Correct answer)
Correct answer: 1:200 000
Explanation: <br> 1 cm:2 km means 1 cm:200 000 cm as there are 100,000 centimetres in a kilometre.
Question 3: Baby John weighed 3100 grams at birth. It is estimated that in the next 12 months, his weight will increase threefold. <br><br> What will John’s estimated weight be in 12 months?
- 3.112 kilograms
- 9.1 kilograms
- 9.3 kilograms (Correct answer)
- 93 kilograms
Correct answer: 9.3 kilograms
Explanation: <br> Times means multiply. Therefore 3100 x 3 = 9300 grams. <br> 9300 is not one of the choices, so we need to change 9300 grams to kilograms. <br> The fact that 1000 grams = 1 kilogram, means 9300 grams = 9.3 kilograms.
Question 4: Joseph wants to buy a pair of runners. He visits five stores and notes the prices on offer for the same style of shoe. <br> The prices are listed as: $59, $58, $58, $64 and $66. <br><br> What is the mean (average) price of the shoes?
- $7
- $58
- $59
- $61 (Correct answer)
Correct answer: $61
Explanation: <br> The mean is found by adding all scores and dividing by the number of scores. <br> The five scores add to 305. Hence the mean is 61 ($305 ÷ 5 = $61).
Question 5: In a jar of 20 marbles, there are orange, purple, and red marbles. A marble is chosen at random from the jar. Eli wants either an orange or a purple marble. <br><br> What is the probability of Eli getting what he wants?
- 3/20
- 7/20
- 1/2
- 3/5 (Correct answer)
Correct answer: 3/5
Explanation: <br> The probability of an event happening is: What you want divided by the total number of outcomes. <br> In the jar, there are eight red, three orange, and nine purple marbles. The total number of marbles is 20. <br> Eli wants an orange or purple marble, of which there are 12.
Question 6: A car’s petrol tank is three-quarters full. The motorist topped up the tank by adding 12 litres. How many litres does the tank hold when full?
- 24 litres
- 36 litres
- 48 litres (Correct answer)
- 60 litres
Correct answer: 48 litres
Explanation: <br> The fuel tank is ¾ full. The motorist has to add fuel to the remaining ¼ of a tank. <br> The motorist adds 12 litres of fuel to fill the remaining ¼ of a tank. <br> This means ½ a fuel tank is worth 24 litres, so a full tank must be 48 litres.
Question 7: A wheat silo receives grain at a rate of 15 tonnes per minute. How long will it take the silo to receive 120 tonnes of grain?
- 6 minutes
- 8 minutes (Correct answer)
- 12 minutes
- 15 minutes
Correct answer: 8 minutes
Explanation: <br> Fifteen tonnes per minute is the rate. <br> To find the number of minutes it takes to receive 120 tonnes, we divide 120 by 15. <br> 120 ÷ 15 = 8
Question 8: A shopping centre car park has 900-car parking bays divided into three sections. <br> Section 1 has 480 bays, and section 2 has half as much as Section 1. <br> The remaining bays are in section 3. <br><br> How many bays are there in Section 3?
- 80
- 120
- 180 (Correct answer)
- 280
Correct answer: 180
Explanation: <br> There are 900 car bays in the car park. <br> Section two has 240 car bays (half of 480). <br> Section three will equal 900 – 480 – 240 = 180 car bays.
Question 9: Tina is t years old. Lisa is 6 years older than Tina. Together their ages total 26. <br><br> Which equation represents the girls’ age structure?
- 2t = 6
- 2t – 6 = 26
- t – 6 = 26
- 2t + 6 = 26 (Correct answer)
Correct answer: 2t + 6 = 26
Explanation: <br> If Tina is t years old, then Lisa must be t + 6, not 6t (this is times). <br> Now add the ages together t + t + 6 = 2t + 6. <br> 2t + 6 = 26
Question 10: Vera is building a house. She estimates her main costs to be: <br> Buying land: $215 000 <br> Planning approval: $4685 <br> Cost of building: $197 500 <br><br> To the nearest $1000, what is her total cost?
- $400 000
- $417 000 (Correct answer)
- $418 000
- $420 000
Correct answer: $417 000
Explanation: <br> Adding all four amounts together will give Vera a total of $417 185. Rounding to the nearest thousand means: <br> We go up to the next thousand if the number in the hundreds place is five or more. <br> Because the number in the hundreds place is one, we leave the thousands number (7) as it is.
Question 11: The goals scored by players during a soccer season are graphed below. <br><br> Which player scored six goals less than Sam?
- Tim
- Tom
- Fred (Correct answer)
- Jack
Correct answer: Fred
Explanation: <br> Studying the columns closely, we notice Sam has scored 18 goals. <br> Six less than 18 is 12 (18 – 6). So, we need the column showing 12 goals. <br> By observation, we notice that Fred is the player that has scored 12 goals.
Free OLNA Numeracy Questions and Answers
A nanosecond is one billionth of a second.
Which of the following is a nanosecond?