Question 1 is already done for youRead 58000000.
① Cut every three digits from the right → 58 | 000 | 000
② From the right: ones, thousands, millions
③ Answer: 58 million
Your turn from here
2Read 34000000.
Cut it with lines, every three digits from the right.
Extra · you may skip thisHow do you say 1000000000000?
One step left ＝ x10 / one step right ＝ 1⁄10
4Write 'seven hundred twenty million' in digits.
5Multiply 2.6 billion by 10.
One more zero on the end.
6What is one tenth of 80 billion?
Extra · you may skip thisHow many times bigger is 100 million than 1 million?
Writing big numbers
7Write 'four hundred and eighty million' in digits.
8Write 'two trillion' in digits.
9What is one tenth of five billion?
Compare, and add
10Which is bigger, 300 million or 290 million?
11Ten million times ten is what?
12What is 90 million + 20 million?
13Put these in order, largest first: 700 million, 90 million, one trillion.
1 · Pokémon — splitting experience pointsLevelling up needs 1250000 experience points.
1Cut 1250000 every three digits from the right and read it.
2Shared between 5, how many points each?
Do 125 ÷ 5 first, then put the zeros back.
3Shared between 10, how many each? What happened compared with 5?
41,250,000 experience shared between 25. How much each?
5To give each one 125,000, how many are they shared between?
6Experience went from 1,250,000 to 2,500,000. How many times bigger?
2 · Everyday — dividing the electricity bill by daysSeptember's electricity bill was 9300 yen. September has 30 days.
1How much is that per day?
2How much for one week (7 days)?
3If every month were the same, what would a whole year cost?
4Electricity was 9,300 yen one month and 10,850 the next. How much more?
5At 310 yen a day, what is 30 days? Does it come back to 9,300?
6Cutting 50 yen a day, how much is saved over 30 days?
Maths B (word problems)Fri 11 September1 / 4
Short division 1
Dividing by a single digit: guess, multiply, subtract, bring down
Name Date
Question 1 is already done for you96 ÷ 4
Tens 9 ÷ 4 ＝ 2 remainder 1 → write 2
4 x 2 ＝ 8, 9 − 8 ＝ 1, bring down the 6 → 16
Ones 16 ÷ 4 ＝ 4 → write 4
Answer 24
Your turn from here
2Work out 84 ÷ 3 by short division.
3Work out 175 ÷ 5 by short division.
Extra · you may skip thisHow do you check a division answer? (divisor x quotient ＝ ?)
4Work out 238 ÷ 7 by short division.
5Find □ in □ x 6 ＝ 342
The opposite of multiplying is dividing.
6There are 145 sweets. Each child gets 6. How many children get some, and how many sweets are left over?
Draw it before writing the calculation.
Extra · you may skip thisFind □ in □ ÷ 8 ＝ 27
A little more long division
7Work out 486 ÷ 6 in long division.
8Work out 523 ÷ 4 in long division. Write the remainder too.
9Work out 700 ÷ 8 in long division. Write the remainder too.
Finding □
11Find □ in □ ÷ 7 = 31 remainder 5
The remainder gets added back too.
12Divide your answer to question 11 by 7 and check it.
13160 stickers, 7 to a person. How many people, and how many left?
1 · Geography — populationsNiigata prefecture has about 2.1 million people, Tokyo about 14 million.
1About how many times bigger is Tokyo than Niigata?
Both are in millions, so just divide 14 by 2.1.
2About what is the difference between the two populations?
3Added together, roughly how many people live in the two prefectures?
2 · Basketball — points per gameOver 5 games you scored 95 points in total.
1How many points per game is that on average?
2If you score 25 in the next game, what is the total over 6 games?
3If 120 points were scored across 6 matches, what is the average per match?
This week's corrections
4Pick one question you got wrong this week and do it again.
Solve it again — do not copy the answer across.
Classic problem — sum and difference
5Two brothers have 20 sweets between them. The elder has 4 more than the younger. How many does each have?
If they had the same number each, how many would that be? Start there.
More of it — a difference, and a ratio
6Two numbers add to 30 and differ by 6. Find them.
7Two brothers have 20 sweets between them and the elder has 4 times the younger. How many has the elder?
8Question 5 (a difference of 4) and question 7 (4 times as many) are both "20 between them", yet the answers differ. Why? Say it in words.
The important question today.
9A 30 cm string is cut in two so that one piece is 8 cm longer than the other. How long is each?