Money problems

How to calculate change quickly?

Sam buys 3 lollipops at 39 each. What change does he get if he pays with a £2 coin?

working out

39p x 3 = 87p

Count onwards from 87p to £2 that is 200p

87p + 3p = 90p

90p + 10 = 100p

100p + 100p = 200p

In total, we have added 3p + 10p + 100p = 113p = £1.13

Now try these questions:

1.Sam buys a sandwich for £2.53 and drink for 37p. What change will he get if he pays with a £5 note?

2. Anna buys a book for £4.59 and a pen for £2.19. What change will he get if she pays with £10?

3. Sam buys a video game for £13.99 and a ball for £5.24. What change will he get if he pays with £20?

4. Sam buys a cup cake for £3.25 and ice cream for £2.25. What change will he get if he pays with £10?

5. Anna buys a bag for £11.75 and a teddy for £3.50. What change will she get if he pays with £20?

Multiplication

Mental Multiplication:
Example:  83 x 30

Step 1: 83 x 3 = 249, so 83 x 3 = 2490

Now try these:

1.  49 x 50

2. 152 x 30

3. 462 x 40

4. 562 x 30

5. 98 x 20

Example: 34 x 12

Step 1: keep 34 as it is and partition 12 into 10 and 2.

Step 2: 34 x 10 = 340

            34 x 2    =  68

Step 3:  Add 340 and 68. Answer is 408

Now try these:

1. 78 x 13

2. 35 x 14

3. 48 x 16

4. 94 x 14

5. 84 x 22

6. 49 x 23

7. 76 x 31

8. 71 x 19

9. 72 x 22

10. 63 x 12

Example:

156 x 3

Step 1. Partition 156 into 100, 50 and 6

Step 2. Multiply: 100 x 3 = 300

                              50 x 3 = 150

                                6 x 3 =    18

Step 3: Add them: 300 + 150 + 18 = 468

Now try these:

1. 461 x 7           6. 234 x 5

2. 528 x 4           7. 456 x 3

3. 432 x 6           8. 782 x 2

4. 327 x 8

5. 148 x 9

             

Multiplying and Dividing Whole Numbers and Decimals by 10, 100 and 1000

1.  32 ÷ 10 =

2.  345 ÷ 100 =

3. 18 ÷ 10 =

4. 3.5 x 100 =

5. 42.6 ÷ 10 =

6. 378 ÷ 1000 =

7. 4.05 x 10 =

8. 3.56 x 10 =

9. 12 ÷ 100 =

10. 135 ÷ 1000 =

11. 3.256 x 10 =

12. 4.278 x 100 =

13. 5.45 x 1000 =

14. 5.023 x 1000 =

15. 4.52 x 1000 =

16. 4.52 x 100 =

17. 3 ÷ 1000 =

18. 30 ÷ 1000 =

19. 150 ÷ 1000 =

20. 29 ÷ 100 =

21. 204 ÷ 100 =

22. 204 ÷ 1000 =

23. 785 ÷ 10 =

24. 785 ÷ 100 =

25. 785 ÷ 1000 =

Now answer the following questions:

1. 3.5 km = ----------- m

2. 4.75 km = ----------- m

3. 6.25 kg = ---------- g

4. 7.5 kg = ------------ g

5. 8.4 kg = ----------- g

6. 9.04 L = ----------- ml

7. 3.3 L = ----------- ml

8. 3.25 L =  --------- ml

9. 8.1 kg = ---------- g

10. 4.9 kg =--------- g

nth term formula

Find the nth term formula, 50th term and 100th term for the following sequences:

1.  3, 7, 11, 15.....

2.  -1, 4, 9, 14, 19....

3. 6, 9, 12,15..........

4. 7, 12, 17, 22..........

5. 8, 11, 14, 17.........

6. 11, 17, 23, 29..........

7. 13, 15, 17, 19, 21..........

8. 3, 8, 13, 18..........

9. 4, 13, 22, 31.........

10. 6, 10, 14, 18.........

Algebra - Word problems

1. If length of one side of a square is 4x, what is its perimeter and area?

2. If length of one side of a square is 5x + 3, what is its perimeter?

3. If length of a rectangle is 3x + 8 and its breadth is 5x + 7, find its perimeter?

4. If one side of an equilateral triangle is 3x + 1, what is the total distance around the triangle?

5. If one side of a regular octagon is 7x + 2, what is its perimeter?

6. If length of a rectangle is 7x + 4 and its breadth is 3x + 6, find its perimeter?

  If perimeter of the rectangle is 100, find x.

Algebra

Expand:

1. 3(4x + 3y)
2. 5(3x + 8y)
3. 9(2x - 6y)
4. 5(3x - y)
5. 6(5x + 3y)
6. 7(2x + 1)
7. 3(5x - 2)
8. 5(3x + 4)
9. 8x(7x + 3y)
10. 5x(3x + 7)

Find y,

1. if  3x = 5y/2                  6. if 8x = (3y - 7)/7
2. if  x = 9y/2                    7. if 5y = (2x - 4)/5
3. if 5x = 3y/4                   8. if 4y = (3x - 2)/5
4. if 7x = (3y + 2)/4          9. if 2y = (5x - 8)/3
5. if x = (5x - 3)/7           10. if 6y = (7x - 3)/4

Find x:

1. 7x - 3 = x - 9
2. 9x - 4 = 2x + 10
3. 4x - 3 = 12 - x
4. 7x - 8 = 19 - 2x
5. 5x + 12 = 6x - 3
6. 8x + 3 = 5x - 12
7. 9x + 4 = 8x - 3
8. 12x + 4 = 19 - 3x
9. x  - 5 = 3x - 7
10. 3x - 7 = 3 - 2x

1. If 3x = 4y/5, y =
2. If 2x = 8y/3, y =
3. If 4x = 9y/5, y =
4. If 6x = 7y/2, y =
5. If 3x = 8y/5, y =

Find y
1. if 3x + 4y = 8
2. if 4x + 7y = 3
3. if 5x + 3y = 7
4. if 2x - 8y = 3
5. if 9x - 3y = 4

              

More - Fractions Worksheet

Which fraction in the following pairs is bigger?

1.   3/8  or  4/5         6.  2/9  or   1/5

2.  4/5 or 2/3            7.  4/5  or  1/3

3. 3/10 or 2/3           8.  3/7  or   4/5

4. 1/5 or  2/5            9.  1/8  or  2/3

5. 3/4 or 1/4            10. 7/10 or  3/5

Answer the following questions:

1.   3/5 + 2/5 =          6.  1 - 4/5  =

2.   1/2 + 1/4 =          7.   2/3 - 1/5 =

3.   2/3 + 1/3 =          8.  4/5 - 2/3 =

4.  1/8 +  1/4 =          9. 2/8 + 3/16 =

5.  6/7 - 3/7 =           10. 3/5 - 3/15 =

Answer the following questions:

1.  7/8 - 3/16 =         6. 3/4 + 1/3 =

2.  9/16 - 3/8 =         7. 3/4 + 1/8 =

3.  4/5 + 2/10 =        8. 3/4 - 1/8 =
4.  6/15 - 1/5  =        9. 3/4 - 2/5 =
5.  5/8 + 1/4 =         10. 3/4 - 1/5 =

Answer the following questions:

1. Find 4/5 of 210.
2. Find 2/3  of 45.
3. Find 5/6 of 36.
4. Find 3/7 of 490.
5. Find 3/10 of 800.
6. Find 7/8 of 64.
7. Find 3/5 of 120.
8. Find 5/8 of 240.
9. Find 4/7 of 35.
10. Find 2/7 of 28.

Word problems:

1. Anna had 25 stickers. She gave 2/5 of her stickers to her friend. How many stickers did she give her friend? How many stickers did she have left?

2. There were 36 strawberries in a basket. 1/6 of them were used to make strawberry milkshake. How many strawberries were used? How many strawberries were left?

3. There were 72 marbles in a bag. 2/9 of the marbles were blue. Rest were green. How many blue marbles were there in the bag and how many green marbles were there?

4. There were 63 cars parked in a parking lot. 2/7 were parked in the first level and the rest were parked in the second level. How many cars were parked in the first level? How many cars were parked in the second level?

5. A jar has 108 jelly beans. 2/3 were green in colour. Rest were red in colour. How many red jelly beans were in the jar. How many green jelly beans were there in the jar?