LANTITE Numeracy Component — Questions and Answers

Question 1: A school fundraiser collected $1,248 from 32 families. What was the average donation per family?

$38
$39 (Correct answer)
$40
$41

Correct answer: $39

$1,248 divided by 32 equals $39 per family.

Question 2: A rectangular classroom measures 9 m by 7.5 m. What is the area of the classroom?

63 m2
67.5 m2 (Correct answer)
72 m2
58.5 m2

Correct answer: 67.5 m2

Area = length x width = 9 x 7.5 = 67.5 m2.

Question 3: A student scored 34 out of 40 on a test. What percentage did they score?

80%
82%
85% (Correct answer)
88%

Correct answer: 85%

(34 / 40) x 100 = 85%.

Question 4: A bus departs at 8:45 AM and the journey takes 1 hour 35 minutes. At what time does it arrive?

9:55 AM
10:10 AM
10:20 AM (Correct answer)
10:30 AM

Correct answer: 10:20 AM

8:45 AM plus 1 hour 35 minutes = 10:20 AM.

Question 5: Which of the following represents 0.045 as a fraction in its simplest form?

9/200 (Correct answer)
45/1000
9/2000
45/100

Correct answer: 9/200

0.045 = 45/1000, which simplifies to 9/200 by dividing both by 5.

Question 6: A class of 28 students has a ratio of boys to girls of 3:4. How many girls are in the class?

12
14
16 (Correct answer)
18

Correct answer: 16

Total parts = 7; girls = (4/7) x 28 = 16.

Question 7: If a jacket originally costs $120 and is on sale for 25% off, what is the sale price?

$85
$88
$90 (Correct answer)
$95

Correct answer: $90

25% of $120 = $30 discount; $120 - $30 = $90.

Question 8: A sequence follows the rule: multiply by 2 then add 1. If the first term is 2, what is the fourth term?

19
21
23 (Correct answer)
25

Correct answer: 23

Term 1: 2, Term 2: 5, Term 3: 11, Term 4: (11 x 2) + 1 = 23.

Question 9: A pie chart shows that 30% of students prefer basketball out of 200 surveyed. How many students prefer basketball?

50
55
60 (Correct answer)
65

Correct answer: 60

30% of 200 = 0.30 x 200 = 60 students.

Question 10: What is the median of the following data set? 14, 8, 21, 5, 17, 11, 9

9
11 (Correct answer)
14
12

Correct answer: 11

Ordered: 5, 8, 9, 11, 14, 17, 21; the middle (4th) value is 11.

Question 11: A recipe requires 2.25 cups of flour for 12 cookies. How many cups are needed for 20 cookies?

3.25 cups
3.5 cups
3.75 cups (Correct answer)
4 cups

Correct answer: 3.75 cups

2.25 / 12 x 20 = 3.75 cups.

Question 12: A linear graph shows y increases by 4 for each unit increase in x, and y = 3 when x = 0. What is y when x = 5?

20
22
23 (Correct answer)
25

Correct answer: 23

y = 4x + 3; when x = 5: y = 4(5) + 3 = 23.

Question 13: A container holds 3.6 litres of juice. How many 250 mL cups can be completely filled?

12
13
14 (Correct answer)
15

Correct answer: 14

3.6 L = 3600 mL; 3600 / 250 = 14.4, so 14 complete cups.

Question 14: A triangle has a base of 10 cm and a height of 6 cm. What is its area?

20 cm2
25 cm2
30 cm2 (Correct answer)
60 cm2

Correct answer: 30 cm2

Area = (1/2) x base x height = 0.5 x 10 x 6 = 30 cm2.

Question 15: A teacher records these test scores: 72, 85, 91, 68, 79, 85, 90, 74. What is the mode?

79
82
85 (Correct answer)
90

Correct answer: 85

85 appears twice while all other scores appear once, making 85 the mode.

Question 16: A school buys 15 boxes of pencils at $4.80 per box and receives a 10% bulk discount. What is the total cost?

$62.00
$64.80 (Correct answer)
$67.50
$72.00

Correct answer: $64.80

Full cost: 15 x $4.80 = $72; 10% discount = $7.20; $72 - $7.20 = $64.80.

Question 17: Express 3.25 x 10^4 in standard notation.

325
3,250
32,500 (Correct answer)
325,000

Correct answer: 32,500

3.25 x 10^4 = 3.25 x 10,000 = 32,500.

Question 18: A student earns $18 per hour and works 6.5 hours. How much does she earn in total?

$108
$112
$117 (Correct answer)
$120

Correct answer: $117

$18 x 6.5 = $117.

Question 19: Which fraction lies between 5/8 and 7/8 on a number line?

3/4 (Correct answer)
4/8
9/16
13/16

Correct answer: 3/4

3/4 = 6/8, which lies exactly between 5/8 and 7/8.

Question 20: A playground is 45 m long and 30 m wide. A 1.5 m wide path runs along the inside perimeter. What is the area of the path?

216 m2 (Correct answer)
225 m2
234 m2
243 m2

Correct answer: 216 m2

Outer area = 45 x 30 = 1350 m2; inner area = 42 x 27 = 1134 m2; path = 1350 - 1134 = 216 m2.

Question 21: If the probability of rain on any day is 0.3, what is the probability it will NOT rain on two consecutive days?

0.09
0.42
0.49 (Correct answer)
0.51

Correct answer: 0.49

P(no rain) = 0.7; P(no rain two consecutive days) = 0.7 x 0.7 = 0.49.

LANTITE Numeracy Component

A school fundraiser collected $1,248 from 32 families.
What was the average donation per family?

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