Addition and Subtraction
7.
Fred has 72 muffins, which he needs to box up, 4 of which are blueberry, into dozens (boxes of twelve). How many boxes does he need?
8.
Sam, Tim, Melanie, and Tom each have thirty-six baseball cards. Tim has thirty–three Pokemon cards. How many baseball cards do they have in all?

Multiplication and Division
1.
Jason has saved four thousand five hundred cents over six days from selling lemonade. How many dollars does Jason have?
2.
There are 1350 students at a school, and 30 of them are boys. If each classroom holds 30 students, how many classrooms are needed at the school?
3.
There were a total of 18 basketball games in the season, and 6 are played at night. The season is played for 9 months. How many games were played each month, if each month has the same number of games?
4.
Sara bought 465 crayons that came in packs of 15. There were 7 colors of crayons. How many packs of crayons did Sara buy?
5.
Mary has four dozen golf balls and seven are used. How many golf balls does she have?
6.
Benny has 33 books and he has read 29 total books. Melanie has 46 times more books than
Benny. How many books does Melanie have?
7.
Sara earns 12.50€ an hour cleaning houses, but doesn't work on Saturday or Sunday. If she works from 8:00am to 6:00pm, how much money will she make?
8.
There are 12 children in the classroom, each student will get 48 pencils and 34 erasers. How many pencils will the teacher have to give out?
Order of Operations (BIDMAS)
1.
Answer the questions below a) (3 x 3 – 4 ) x (2 + 2) b) 2 x (13 – 4) – (23 ÷ 23) c) 3 x (1 + 4) – (5 x 2) d) 4 x (3 + 2) – ( 24 – 5) e) 7 x ( 4 ÷ 2 ) ÷ ( 3 x 5 -1 ) f) ((9 + 7 x 3 ) ÷ 10) – 1
2.
Add brackets to make these sums correct: a) 3 x 4 + 2 = 14 b) 5 x 4 +1 = 25 c) 2+3x2-5= 3 d) 4+3x5+2= 49 e) 5x4+5÷5=5
Standard Form
1. Calculate:
(a) 6.21 × 1000
(b) 8 × 10 3
(c) 4.2 × 10 2
(d) 3 ÷ 1000
(e) 6 ÷ 10 2
(f) 3.2 ÷ 10 3
(g) 6 × 10
(h) 9.2 × 10
(i) 3.6 × 10
(b) 8000
–3
–1
2. Write each of the following numbers in standard form:
(a) 200
–2

(c) 9 000 000
(d) 62 000
(e) 840 000
(f) 12 000 000 000
(g) 61 800 000 000
(h) 3 240 000
3. Convert each of the following numbers from standard form to the normal decimal notation:
(a) 3 × 10 4
(b) 3.6 × 10 4
(c) 8.2 × 10 3
(d) 3.1 × 10 2
(e) 1.6 × 10 4
(f) 1.72 × 10 5
(g) 6.83 × 10 4
(h) 1.25 × 10 6
(i) 9.17 × 10 3
4. Write each of the following numbers in standard form:
(a) 0.0004
(b) 0.008
(c) 0.142
(d) 0.0032
(e) 0.00199
(f) 0.000000062
(g) 0.0000097
(h) 0.00000000000021
5. Convert the following numbers from standard form to the normal decimal format:
(a) 6 × 10 –2
(b) 7 × 10 –1
Some Solutions
(c) 1.8 × 10 –3
(d) 4 × 10 –3
(e) 6.2 × 10 –3
(f) 9.81 × 10 –4
(g) 6.67 × 10 –1
(h) 3.86 × 10 –5
(i) 9.27 × 10 –7
6. Determine in standard form:
(a) (4 × 10 4 ) × (2 × 10 5 )
(b) (2 × 10 6 ) × (3 × 10 5 )
(c) (6 × 10 4 ) × (8 × 10 –9 )
(d) (3 × 10 –8 ) × (7 × 10 –4 )
(e) (6.1 × 10 6 ) × (2 × 10 –5 )
(f) (3.2 × 10 –5 ) × (4 × 10 –9 )
7. Determine in standard form:
(a) (9 × 10 7 ) ÷ (3 × 10 4 )
(b) (8 × 10 5 ) ÷ (2 × 10 –2 )
(c) (6 × 10 –2 ) ÷ (2 × 10 –3 )
(d) (6 × 10 4 ) ÷ (3 × 10 –6 )
(e) (4.8 × 10 12 ) ÷ (1.2 × 10 3 )
(f) (3.6 × 10 8 ) ÷ (9 × 10 3 )
8. Determine the following, giving your answers in standard form:
(a) (6 × 10 5 ) + (3 × 10 6 )
(b) (6 × 10 2 ) + (9 × 10 3 )
(c) 6 × 10 5 – 1 × 10 4
(d) 8 × 10 –2 + 9 × 10 –3
(e) 6 × 10 –4 + 8 × 10 –3
(f) 6 × 10 –4 – 3 × 10 –5
Addition and Subtraction

7. 6 boxes
8. 144 baseball cards
Multiplication and Division
1.
45€
2.
45 classrooms
3.
2 games
4.
31 packs
5.
48 golf balls
6.
1518 books
7.
125.00€
8.
576 pencils
Standard Form http://www.cimt.plymouth.ac.uk/projects/mepres/book9/bk9i3/bk9_3i4.html