Length
Place Value
Vertical Method (Algorithm)
Split Method (Place Value Partitioning)
The Round of Random
100

This tool is best for measuring the length of a pencil.

What is a ruler?

100

The number that comes after 34,567?

What is 34,568?

100

The sum of 7 + 3?

What is 10?

100

The sum of 23 + 14?

What is 37?
(Partitioning:

  • 20 + 10 = 30
  • 3 + 4 = 7
  • 30 + 7 = 37)
100

What is the capital city of New Zealand?

What is Wellington?

200

You estimate the weight of a bag of flour to be 1 kilogram. When you weigh it, the actual weight is 1.2 kilograms. How much heavier was the bag than you estimated?

What is 0.2 kilograms (200 grams)?

200

Which is greater: 45,678 or 45,687?

What is 45,687? (Since 45,687 is greater because of the last digit.)

200

The sum of 12 + 25?

What is 37?
(Algorithm: Add the tens place first: 10 + 20 = 30. Then add the ones place: 2 + 5 = 7. So, 30 + 7 = 37.)

200

What is the sum of 45 + 32?

What is 77?
(Partitioning:

  • 40 + 30 = 70
  • 5 + 2 = 7
  • 70 + 7 = 77)
200

What is the longest river in New Zealand?

What is the Mighty Waikato River?

300

What is the perimeter of a square where each side is 10 cm?

What is 40 cm? (Perimeter of a square = 4 × side length)

300

Is the smallest of these numbers:

 45,226; 45,260; 45,206; 45,620?

What is 45,206? (It is the smallest because the numbers are compared starting from the left, and 45,206 has the smallest value in the thousands place.)

300

The sum of 56 + 37?

What is 93?
(Algorithm: Add the tens place first: 50 + 30 = 80. Then add the ones place: 6 + 7 = 13. So, 80 + 13 = 93.)

300

The sum of 68 + 57?

What is 125?
(Partitioning:

  • 60 + 50 = 110
  • 8 + 7 = 15
  • 110 + 15 = 125)
300

How many milliliters are in a bottle holds 1.5 litres of water

Answer:
What is 1,500 milliliters? (1 liter = 1,000 milliliters)

400

A marathon race lasts for 3 hours, 45 minutes. How many minutes is this in total?

What is 225 minutes? 

(3 hours × 60 minutes = 180 minutes, and 180 + 45 = 225 minutes)

400

67,832 rounded to the nearest thousand.

What is 68,000?

400

The sum of 128 + 256?

What is 384?
(Algorithm: Add the hundreds place first: 100 + 200 = 300. Then add the tens place: 20 + 50 = 70. Then add the ones place: 8 + 6 = 14. So, 300 + 70 + 14 = 384.)

400

The sum of 126 + 249?

What is 375?
(Partitioning:

  • 100 + 200 = 300
  • 20 + 40 = 60
  • 6 + 9 = 15
  • 300 + 60 + 15 = 375)
400

The process called when water changes from a liquid to a gas.

What is evaporation?

500

A car travels 1.5 kilometres. How many meters is this? Show the relationship between kilometres and meters using a decimal

What is 1,500 meters?

(1 kilometer = 1,000 meters, so 1.5 kilometers = 1.5 × 1,000 = 1,500 meters.)

500

36.7 rounded to the nearest whole number.

What is 37? (Since the tenths digit is 7, we round up.)

500

The sum of 1,235 + 764?

What is 1,999?
(Algorithm: Add the thousands place first: 1,000 + 0 = 1,000. Then add the hundreds place: 200 + 700 = 900. Then add the tens place: 30 + 60 = 90. Then add the ones place: 5 + 4 = 9. So, 1,000 + 900 + 90 + 9 = 1,999.)

500

The sum of 385 + 467?

What is 852?
(Partitioning:

  • 300 + 400 = 700
  • 80 + 60 = 140
  • 5 + 7 = 12
  • 700 + 140 + 12 = 852)
500

The first British settler to establish a permanent settlement in New Zealand in 1840.

Who is William Hobson?

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