Question 1
A bag contains 800 sweets. Sweets are either red, blue or green. There are 8 more red sweets than blue sweets. 30% of the sweets are blue. How many sweets are green?
Solution:
Total number of sweets = 800
Let’s calculate the number of blue sweets first:
Number of blue sweets = 30% of 800
= 0.3 * 800
= 240
Now, let’s calculate the number of red sweets:
Number of red sweets = Number of blue sweets + 8
= 240 + 8
= 248
Finally, let’s calculate the number of green sweets:
Number of green sweets = Total number of sweets – (Number of blue sweets + Number of red sweets)
= 800 – (240 + 248)
= 312
Therefore, there are 312 green sweets.
Question 2
Goldfish are kept in large tanks.
Each tank can hold up to 13 fish.
There are 193 goldfish in the shop. How many tanks are needed to hold all of these goldfish?
Solution:
Each tank can hold up to 13 fish.
There are 193 goldfish in the shop.
Therefore, the number of tanks needed = 193 / 13
= 14.846
Therefore, 15 tanks are needed to hold all of these goldfish.
Question 3
In a sale, the price of a toy car is reduced by 60%.
I buy the toy car for £42. What did it cost before the sale?
Solution:
The price of the toy car is reduced by 60%.
Therefore, I pay 40% of the original price.
I buy the toy car for £42.
Therefore, 40% of the original price = £42
Original price = £42 / 40%
= £105
Therefore, the toy car cost £105 before the sale.
Question 4
The four numbers 8, 3, 9 and [ ] have an average of 8. What number goes in the box?
Solution:
The average of the four numbers is 8.
Therefore, the sum of the four numbers = 8 × 4
= 32
The sum of the four numbers is 8 + 3 + 9 + [ ] = 32
20 + [ ] = 32
[ ] = 32 – 20
[ ] = 12
Therefore, the number that goes in the box is 12.
Question 5
58.08 × 0.1 = [ ]
What number goes in the box?
Solution:
58.08 × 0.1 = 5.808
Therefore, the number that goes in the box is 5.808.
Follow @reasoningwizard on Instagram.
Pingback: 11plus Daily Free Practice Paper - 22 May 2024 - Reasoning Wizard