The Elves' Workshop: The elves built 7 Christmas toys in a day. The times taken to build each toy were 5, 8, 5, 10, 5, 12, and 6 minutes. Identify the mode. Calculate the range.
Mode = 5mins, Range = 7 mins
Santa has 120 toys and gives 2/5 of them to one village. How many toys does the village receive?
48 toys
Santa has 24 red lights and 36 green lights. What is the largest number of identical light strings he can make without any leftover lights?
12
Rudolph starts with -10 energy points after flying through a snowstorm. If he gains 8 points, what is his energy level?
-2 energy points
Santa’s workshop produces 240 teddy bears and 360 toy cars. They pack toys into big boxes so that: Each box has the same number of toys. Each box contains only teddy bears or only toy cars. What is the largest number of toys in a box?
120 toys
What are the prime factors of 30?
2,3,5
Santa's sleigh bells ring every 8 minutes. If Santa starts at 2:00 PM, list the next 5 multiples of 8.
2:08, 2:16, 2:24, 2:32, 2:40
Santa's workshop doubles toy production every day. On Day 1, they make 2 toys. How many toys are made on Day 5?
32 toys
Santa needs 153 presents for one village and 278 presents for another. Round the totals to the nearest hundred and estimate the total number of presents.
200+300 = 500
An elf decorates 3³ trees with stars. How many trees are decorated?
27 trees
Santa uses 5535895212 bulbs for lights. Is the total divisible by 4? (no calculator!)
Yes (ends with 12, which is divisible by 4)
A giant square gift has an area of 81 m2. Find the length of one side.
9m
An elf measures shoe sizes: 6.58, 7.41, and 8.96. Round each to 1 decimal place.
6.6, 7.4 and 9
A teacher asks the students in his class how they travel to school. The table shows the results. Write down the method of travel that is the mode.
Bus
Santa fills stockings in groups of 6, while elves fill them in groups of 8. What is the smallest number of stockings that can be filled to satisfy both groups?
24
A reindeer flew 47.6 km, 38.9 km, and 52.4 km in three trips. Round each distance to the nearest 10 km and find the estimated total.
140 km
Santa stores 328 kg of reindeer feed in bags. Check if the total weight is divisible by 4.
Yes (ends with 28, which is divisible by 4)
A recipe for a holiday cake requires: 1/4 kg flour, 1/2 kg sugar, and 3/8 kg butter. Add the amounts to find the total weight of the ingredients.
9/8 kg or 1.125kg
The Elves' Workshop: The elves built 7 Christmas toys in a day. The times taken to build each toy were 5, 8, 5, 10, 5, 12, and 6 minutes. Find the median time taken to build the toys.
6 mins
An elf has 40 chocolates and 60 candies. What is the largest number of stockings he can fill with an equal number of both treats?
20
A toy train whistles every 9 minutes, and another train whistles every 12 minutes. How many minutes will pass before they whistle together again?
36 minutes
There are 90333567 bells on Christmas trees. Can we pack them into bags of 9? (no calculator)
Yes (5+6+7=18 which is divisible by 9)
Santa buys reindeer feed costing £4.78 per kg. Estimate the total cost of 4.3 kg by rounding. (Santa has 9 reindeer)
£20 - 22 (accurate is £20.55)
A string of red lights blinks every 4 seconds. A string of blue lights blinks every 6 seconds. If they start blinking at the same time how many seconds after they will blink at the same time again?
12 seconds
Santa gives out 8/12 of a bag of oats to reindeer. Simplify the fraction.
2/3
A Christmas tree is 6.478 meters tall. Round this to 2 decimal places.
6.48 meters
Santa baked 20 gingerbread cookies. If he gives 3/4 of the cookies to the elves, how many cookies do the elves receive?
15 cookies
Santa delivers presents every 20 minutes. What are the prime factors of 20?
2,5
An elf counted 249 snowflakes in one area and 357 snowflakes in another. Estimate the total by rounding both numbers to the nearest hundred.
200+400= 600
100 students sat a physics examination. The time they spent revising is shown in the table. What is the modal class?
5<h≤10
A candy cane costs £2.83. Estimate the total for 3 candy canes by rounding to the nearest whole number.
£9
The elves make 285 toys in one day. Check if this number is divisible by 3.
Yes (2+8+5=15, which we can divide by 3)
A group of children took rides on Santa's sleigh. Their ride times in minutes were 10, 12, 15, 20, 12, and 18. Find the median.
13.5 min
Rudolph flies every 8 days, and Dasher flies every 12 days. If both reindeer start flying on December 1st, on which date will they fly together again?
24th of December