Year 6 · Maths · SATs revision · Lesson 3
Reasoning: number and problem solving
SATs reasoning practice on number: place value, rounding, negative numbers, factors, multiples, primes and multi-step word problems.
19-minute video lesson
Teaching, worked examples and 20 practice questions solved step by step.
Watch free for a monthWhat your child will learn
- Apply place value and rounding
- Find differences with negative numbers
- Use factors, multiples and primes
- Solve multi-step problems
- Check answers
The method
- Read twice; underline.
- Plan the steps.
- Calculate carefully.
- Check it makes sense.
Key words: reasoning, place value, negative, multi-step, factor.
Worked examples
The first three practice questions from the lesson, with every step.
Question 1
What is the value of the digit 8 in 2,784,301?
- Step 1: Use a place value chart
- Step 2: 8 ten thousands = 80,000
Answer: 80,000
Question 2
What is the value of the digit 9 in 9,016,428?
- Step 1: Use a place value chart
- Step 2: 9 millions = 9,000,000
Answer: 9,000,000
Question 3
Round 5,250,000 to the nearest million.
- Step 1: Between 5,000,000 and 6,000,000
- Step 2: Look at the decider digit
- Step 3: 2 is less than 5: round down
Answer: 5,000,000