Year 7 Maths Showdown

Numbers

100

What is the 5th prime number?

11

200

What is the first square number greater than 100?

125

300

What is the value of 13²

169

400

What is the value of 8² + √ 9 ?

67

500

Rudolph delivers 5 gifts to each of 15 houses, then gets 1 extra gift from Mrs. Claus. How many gifts in total?

76

Rounding

100

The elves made 376 toys in a day. Round the number of toys to the nearest 100.

400

200

The Christmas warehouse stored 4,689 presents this year. Round the number of presents to the nearest 1,000.

5,000

300

Santa measured a giant candy cane as 12.6 m. Round it to the nearest integer.

13 m

400

Rudolph’s sleigh traveled 87.46 km last night. Round it to 1 decimal place.

87.5 km

500

The snowman melted 15.987 cm in the sun. Round to the nearest two decimal places.

15.99 cm

Algebra

100

Santa has 3x + 5x gifts. Combine like terms.

8x

200

Rudolph collected 7y + 4 + 2y + 6 candy canes. Combine like terms.

9y + 10

300

The sleigh carried 6m + 4n + 9m + 2n +5 presents. Combine like terms.

15m + 6n + 5

400

There are y + 4 chocolates in a box. A shop sells 5 boxes of them. How many chocolates are sold? 

Hint expand:

5(y+4) 

5y + 20

500

Expand & simplify:

3(m + 2n) + 5(2m + n) 

13m + 11n

Data

100

Santa has 3 types of cookies: gingerbread, chocolate chip, and shortbread.
Question: Is this data A: qualitative or B: quantitative?

A: qualitative

200

Rudolph delivers 87 presents on Christmas Eve.
Question: Is the number of presents A: discrete or B: continuous?

A: discrete

300

The Christmas tree is 2.7 meters tall.
Question: Is this data A: qualitative or B: quantitative?

B: quantitative

400

Mrs. Claus bakes cookies that weigh 3.45 kg each.
Question: Is the weight of the cookies A: discrete or B: continuous?

B: continuous

500

An elf records the following data:

• Temperature outside: -2.5°C
• Tree type: fir, pine, spruce
• Number of lights on the tree: 120
  
  

Question: Identify the type of each piece of data (qualitative , quantitative-discrete, quantitative-continuous).

• Temperature outside: Quant-cont
• Tree type: Qual
• Number of lights on the tree: Quant-disc

Sequences

100

The number of Christmas lights on each successive house: 2, 4, 8, 16…
Question: What type of sequence is this?

Geometric (x2 each time)

200

Rudolph’s candy canes follow this pattern: 7, 10, 13, 16…
Question: What are the next three terms?

19, 22, 25

300

The number of gingerbread cookies baked each day follows this pattern: 1, 1, 2, 3, 5, 8…

 Question:

1. Identify the type of sequence.

2. Find the next three terms.

1. Fibonacci

2. 13, 21, 34

400

The number of reindeer in Santa’s parade increases by 3 each day, starting with 2 on Day 1.
Question: Write the nth term of the sequence.

3n - 1

500

Santa puts 3 presents on the first shelf, and then adds 4 more presents on each next shelf. The sequence of presents on the shelves is:

3, 7, 11, 15, …

Task:

1. Write the nth term of the sequence.

2. Find the number of presents on the 50th shelf.

1. 4n-1

2. 4(50)-1 = 199th shelf