Solution:
To find the number that is thirteen less than thirty thousand, we need to subtract thirteen from thirty thousand.
30,000 – 13 = 29,987
Therefore, the number that is thirteen less than thirty thousand is 29,987.
29,987
Question 2
Isla is 19 years, 20 months, 21 weeks and 23 days old. What age will she be on her next birthday?
Solution:
Isla is currently 19 years + (20 months / 12 months per year) + (21 weeks / 52.14 weeks per year) + (23 days / 365 days per year)
= 19 + 1.67 + 0.40 + 0.06
= 21.13 years old
Therefore, Isla will be 22 years old on her next birthday.
Question 3
Lily’s flask holds 720ml
when it is one quarter empty. How much does it hold when it is full?
Solution:
When Lily’s flask is one quarter empty, it holds 720 ml.
Let x be the total capacity of the flask when it is full.
The amount of liquid in the flask when it is one quarter empty is 3/4 of the total capacity.
Therefore, 3/4 of x = 720 ml
To find the total capacity of the flask, we need to divide 720 ml by 3/4.
720 ÷ 3/4 = 720 × 4/3 = 960
Therefore, the flask holds 960 ml when it is full.
The flask holds 960 ml when it is full.
Question 4
Adam is facing South East. In which direction will he be facing if he turns clockwise through 3 right angles?
Solution:
When Adam is facing South East, he is facing 45° clockwise from the East direction.
Turning clockwise through 3 right angles means turning 90° three times.
90° + 90° + 90° = 270°
Therefore, Adam will be facing 270° clockwise from the South-East direction.
270° is equivalent to 180° + 90°, which is the same as turning 180° clockwise from the South-East direction and then turning 90° clockwise from the resulting direction.
Therefore, Adam will be facing North-East.
Adam will be facing North East.
Question 5
In a multiple choice test you gain 2 marks for a correct answer, lose 1 mark for an incorrect answer and you score no marks if you leave a question out. A test has 50 questions in total. If Amelia scores 76, and gets 41 questions right, How many questions did she leave out?
Solution:
The total marks Amelia gained from the correct answers is = 41 × 2 = 82 marks
The total marks Amelia lost from the incorrect answers = Marks for correct answers – Marks lost for incorrect answers
76 = 82 – Marks lost for incorrect answers
Marks lost for incorrect answers = 82 – 76 = 6 marks
Since each incorrect answer leads to a loss of 1 mark, the number of incorrect answers is equal to the marks lost.
Number of incorrect answers = 6
The number of questions Amelia left out.
Total questions = Questions answered correctly + Questions answered incorrectly + Questions left out
50 = 41 + 6 + Questions left out
Questions left out = 50 – 41 – 6
Questions left out = 3
Therefore, Amelia left out 3 questions in the multiple-choice test.
Amelia left out 3 questions.
Follow @reasoningwizard on Instagram.