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FractionsYear 6 Learning From Home Answers
Fractions: Year 6 Learning From Home Answers
Statutory Requirements WorksheetPage
NumberNotes
Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.
Simplify Fractions
Simplify Fractions Using the Highest Common Factor
Use Common Multiples
Express Fractions
4
5 6 7
Compare and order fractions, including fractions > 1.
Compare Fractions
Order Fractions
Compare and Order Fractions
8-9
10-11
12-13
Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions.
Add Fractions
Subtract Fractions
14-15
16-17
Multiply simple pairs of proper fractions, writing the answer in its simplest form (for example;: 1
4 × 12 = 1
8 )
Multiply Fractions 18-19
Divide proper fractions by whole numbers [for example, 13 ÷ 2 = 1
6 .
Divide Fractions Using a Grid
Divide Fractions
20
21
Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3
8 ].
Decimal Fraction Equivalents
22
Page 2 of 39
Fractions: Year 6 Learning From Home Answers
Statutory Requirements WorksheetPage
NumberNotes
Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places.
Identify the Value of Decimal Digits
Multiply and Divide Decimals by 10, 100 and 1000
23-26
27-28
Multiply one-digit numbers with up to two decimal places by whole numbers.
Multiplying Single Digit Decimals
Multiply Single Digit Decimals Word Problems
29
30
Use written division methods in cases where the answer has up to two decimal places.
Written Division 2 Decimal Places
31
Solve problems which require answers to be rounded to specified degrees of accuracy.
Rounding to Specific Degrees of Accuracy
Solve Problems to Specified Degree of Accuracy Word Problems
32-33
34
Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.
Recall and Use Equivalences Word Problems
Percentage and Decimal Equivalents
35
36-39
Page 3 of 39
Simplifying Fractions AnswersUsing common factors, simplify the following fractions to their simplest form:
416
14
23
917
25
34
35
58
78
12
35
34
13
13
111
37
2132
45
1. =
615
912
1220
1524
1416
918
1525
68
4249
67
1854
927
333
1535
4264
3645
18343.
5.
7.
9.
11.
13.
15.
17. 18.
16.
14.
12.
10.
8.
6.
4. =
=
=
=
=
=
=
= =
=
=
=
=
=
=
=
14212. =
Page 4 of 39
Simplify Fractions Using the Highest Common Factor Answers
FractionHighest Common Factor
Simplified Fraction
412 4
13
39 3
13
68 2
34
1015 5
23
814 2
47
1012 2
56
618 6
13
918 9
12
1216 4
34
615 3
25
824 8
13
621 3
27
1525 5
35
1232 4
38
945 9
15
2128 7
34
FractionHighest Common Factor
Simplified Fraction
1620 4
45
1518 3
56
1832 2
916
2432 8
34
1535 5
37
1422 2
711
627 3
29
3663 9
47
1521 3
57
2448 24
12
5075 25
23
4575 15
35
2452 4
613
844 4
211
3549 7
57
4884 12
47
Page 5 of 39
Use Common Multiples AnswersExpress all the fractions in each set in fractions with the same denominator.
1.
34
25
12
14
710
1520
820
1.20
520
1420
2.
13
34
16
56
14
412
912
212
1012
312
3.
58
34
18
12
73
1524
1824
324
1224
824
4.
79
13
512
29
34
2836
1236
1536
836
2736
5.
112
310
78
23
14
10120
36120
105120
80120
30120
Page 6 of 39
Express Fractions Answers34 and
78
68 and
78
16 and
718
318 and
718
35 and
1120
1220 and
1120
38 and
1724
924 and
1724
715 and
45
715 and
1215
316 and
34
316 and
1216
1720 and
710
1720 and
1420
18 and
732
432 and
732
512 and
1936
1536 and
1936
710 and
2330
2130 and
2330
421 and
23
421 and
1421
728 and
37
728 and
1228
712 and
58
1424 and
1524
1115 and
34
4460 and
4560
512 and
35
2560 and
3660
78 and
15
3540 and
840
17 and
34
428 and
2128
29 and
1115
1045 and
3345
56 and
1011
5566 and
6066
12 and
1315
1530 and
2630
79 and
58
5672 and
4572
712 and
47
4984 and
4884
315 and
712
1260 and
3560
1120 and
23
3360 and
4060
1115 and
78
88120 and
105120
25 and
12
410 and
510
56 and
38
2024 and
924
12 and
16
36 and
16
411 and
544
1644 and
544
58 and
13
1524 and
824
724 and
16
724 and
424
827 and
49
827 and
1227
12 and
1316
816 and
1316
712 and
56
712 and
1012
Page 7 of 39
Compare Fractions AnswersUse the symbols < > or = to compare these fractions.
You may need to rewrite the fractions with the same denominator.
1. 13
412
312
14> 2. 1
5
315
315
315=
3. 35
610
710
710
4. 27
1656
2156
38
5. 12
48
48
48
6. 53
8048
8148
2716
7. 259
10036
9936
114
8. 512
2560
2460
25
9. 1115
4460
4560
34
10. 3024
3024
3024
54
< <
= <
> >
< =
Page 8 of 39
Compare Fractions (2) AnswersUse the symbols < > or = to compare these fractions.
You may need to rewrite the fractions with the same denominator.
1. 79
4963
5463
67
2. 118
9972
9972
9972
3. 56
125150
126150
2125
4. 4450
176200
175200
78
5. 3550
710
710
4970
6. 617
3085
3485
25
7. 89
424477
423477
4753
8. 2411
552253
561253
5123
9. 2213
8852
9152
74
10. 5663
79
79
7799
< =
< >
= <
> <
< =
Page 9 of 39
Order Fractions AnswersOrder these fractions from smallest to largest.
You may wish to write the fractions with a common denominator.
1. 38
12
14
34
78
38
48
28
68
78
smallest largest
2. 712
1112
23
34
56
712
1112
812
912
1012
smallest largest
3. 65
1710
32
95
1310
1210
1710
1510
1810
1310
smallest largest
14
38
12
34
78
712
23
34
56
1112
65
1310
32
1710
95
Page 10 of 39
Order Fractions (2) AnswersOrder these fractions from smallest to largest.
You may wish to write the fractions with a common denominator.
1. 58
12
13
34
38
1524
1224
824
1824
924
smallest largest
2. 114
3112
125
83
176
smallest largest
3. 27
14
49
13
18
smallest largest
13
38
12
58
34
16560
15560
14460
16060
17060
125
3112
83
114
176
144504
18
14
27
13
49
126504
224504
168504
63504
Page 11 of 39
Compare and Order Fractions Answers1. Circle the larger fraction.
2. Circle the smaller fraction.
3. Use the correct sign to compare these fractions (<, > or =)
4. Order the following fractions from smallest to largest.
a.
a.
a.
c.
e.
g.
b.
d.
f.
h.
c.
c.
b.
b.
d.
d.
58
158
247
15
83
196
74
1910
134
136
45
175
2
2
2
2
2
3
94
73<
<
>
= >
>
=98
87
175
310
35
2610
37
96
274
284
16
128
297
427
138
256
127
215
>
a. b.
smallest smallestlargest largest
32
54
43
34
83
1161
c.
smallest largest
125
13
1142 d.
smallest largest
92
143
174
54
43
32
34
13
125
174
92
143
114
116
831
2
Page 12 of 39
e.
g.
a.
c. d.
b.
h.
f.
smallest
smallest smallest
smallestlargest
largest largest
largest
16
154
72
1753
1712
2720
32
75
2825
5150
110
110
111100
2410
73
94
52
1
1
5. Order 3 of the following fractions from smallest to largest.
6. This list of numbers is in size order. Identify whether the largest number is at the beginning or at the end.
7. This list of numbers is in size order from left to right. One number is in the wrong place. Circle the number that is in the wrong place.
smallest
smallest smallest
smallestlargest
largest largest
largest
64
25
118
53 1
43
126
12
95 1 15
1218
116
1310 1
145
83
96
154
268
194
103
143
175
235
247
4710
92
16
2710
118
25
12
18
1512
1310
116
64
53
96
43
95
126
83
145
154
75
1712
32
5150
2825
111100
175
72
154
94
73
2410
523
1
1 1
Page 13 of 39
Add Fractions Answers
Add the following fractions. You will need to convert the fractions so they all have the same denomi-nator.
1.
2.
3.
4.
5.
twinkl.co.uk
Aim: to add fractions
34
29
720
724
16
912
418
720
724
530
512
518
45
712
2630
512
518
1620
1424
2630
16
23
34
38
415
212
1218
1520
924
830
23
56
610
14
710
812
1518
1220
624
2130
12
12
2412
3618
5020
3624
6030
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
2
2
2
2
1
=
=
=
=
=
=
=
=
=
=
Page 14 of 39
Add Fractions (2) Answers
Add the following fractions. You will need to convert the fractions so they all have the same denomi-nator.
1.
2.
3.
4.
5.
twinkl.co.uk
Aim: to add fractions
35
23
78
716
3118
2440
3045
2124
2148
6236
58
59
56
712
512
2540
2545
2024
2848
1536
110
15
14
78
12
440
945
624
4248
14
1315
23
16
79
1040
3945
1624
5648
2836
2340
2345
58
116
512
6340
6324
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
1
2
2
3
9
=
=
=
=
=
1
6
=
=
=
=
=33936
14748
10348
23436
Page 15 of 39
Subtract Fractions Answers
2.
4.
6.
8.
10.
58
12
18− =
56
14
712− =
34
610
320− =
38
14
18− =
23
310
1130− =
1. 23
12
16− =
23
12
16− =
3. 38
13
124− =
924
824
124− =
5. 710
23
130− =
2130
2030
130− =
7. 512
14
16− =
512
312
212− =
9. 1112
36
512− =
1112
612
512− =
8 818− =
1012
312
712− =
1520
1220
320− =
38
28
18− =
2030
930
1130− =
Subtract the following fractions. You will need to convert the fractions so they all have the same denominator.
Page 16 of 39
Subtract Fractions (2) AnswersSubtract the following fractions. You will need to convert the fractions so they all have the same denominator.
2.
4.
6.
8.
10.
910
34
320− =
712
25
1160− =
34
57
128− =
49
14
736− =
78
56
124− =
1. 78
13
1324− =
2124
824
1324 − =
3. 25
13
115− =
615
515
115− =
5. 1625
35
125− =
1625
1525
125− =
7. 311
15
455− =
1555
1155
455− =
9. 16
18
124− =
848
648
248− =
1820
1520
320− =
3560
2460
1160− =
2128
2028
128− =
1636
936
736− =
4248
4048
248− =
Page 17 of 39
Multiply Fractions Answers
2. 12
23
26× =1. 3
413
312× =
14
215
310
316
29
19
13
718
4. 712
23
1436× =3. 2
513
215× =
6. 14
57
528× =5. 4
516
430× =
8. 49
14
436× =7. 3
845
1240× =
10. 25
59
1045× =9. 5
638
1548× =
Calculate the following. Give your answer in the simplest form.
=
=
=
= =
=
=
=
Page 18 of 39
Multiply Fractions Answer
2. 45
16
215× =1. 2
538
320× =
4. 512
23
518× =3. 1
335
15× =
6. 34
59
512× =5. 2
518
120× =
8. 45
14
15× =7. 1
635
110× =
10. 45
512
13× =9. 5
9310
16× =
Cancelling Common FractionsCalculate the following by cancelling the common factors first. Give your answer in the simplest form.
4
1
4
2
3 2 1 3
1
3
6
3
1
1
1
1
1 1 1 1
1
1
1
2
Page 19 of 39
Divide Fractions Using a Grid AnswersUse the number line to divide these fractions by whole numbers.
1.
2.
3.
Shade 34
of the grid.
Divide the number of shaded sections by the divisor. This is your answer's numerator.
Count the total number of sections in the grid; this is denominator.
So the answer to 34
÷ 2 =
Shade 13
of the grid.
Divide the 13
by 4. This is the answer.
Shade 25
of the grid.
Divide the 25
by 4. This is the answer.
34
13
25
÷
÷
÷
2
4
4
=
=
=
38
38
112
110
Page 20 of 39
Divide Fractions Answers
1. 35 ÷ =2 2. 1
2 ÷ =2
3. 34 ÷ =6 4. 5
6 ÷ =2
5. 58 ÷ =4 6. 1
4 ÷ =7
7. 78 ÷ =3 8. 7
9 ÷ =5
9. 512 ÷ =6 10. 2
5 ÷ =4
Calculate the following. Give your answer in the simplest form.
310
324
512
18
110
532
724
572
745
220
128
14
=
=
Page 21 of 39
Decimal Fraction Equivalents AnswersWrite the relevant fraction and decimal equivalents on the number lines:
0
0.5
0.33
0.25
0.2
0.167
0.125
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
0.25 0.375 0.5 0.625 0.75 0.875
0.333 0.5 0.667 0.833
0.4 0.6 0.8
0.5 0.75
0.67
112
13
14
15
16
18
110
210
310
410
510
610
710
810
910
28
38
48
58
68
78
26
36
46
56
25
35
45
24
34
23
0 1
0 1
0 1
0 1
0 1
0 1
Page 22 of 39
Identify the Value of Decimal Digits AnswersRecognising the value of digits in numbers up to 2 decimal places.
0.14 0.4 0.56 0.63 0.41 0.42 0.36 0.87
0.24 0.08 0.13 0.51 0.96 0.73 0.59 0.86
0.77 0.1 0.12 0.6 0.17 0.74 0.29 0.34
0.67 0.01 0.22 0.69 0.55 0.61 0.26 0.33
0.28 0.79 0.03 0.54 0.61 0.09 0.66 0.5
0.07 0.52 0.19 0.72 0.56 0.42 0.78 0.05
0.47 0.37 0.12 0.53 0.87 0.41 0.79 0.42 0.19
1. Find all the numbers above that have the following:
2. Complete this Venn diagram with these numbers.
7 in the tenths place 0.77, 0.79, 0.72, 0.73, 0.74, 0.78
4 in the hundredths place 0.14, 0.24, 0.54, 0.74, 0.34
1 in the tenths place 0.14, 0.1, 0.13, 0.12, 0.17, 0.19
3 in the hundredths place 0.13, 0.03, 0.63, 0.73, 0.33
5 in the tenths place 0.52, 0.56, 0.54, 0.55, 0.56, 0.59
9 in the hundredths place 0.79, 0.19, 0.69, 0.09, 0.29, 0.59
2 in the tenths place and 6 in the hundredth place
0.26
4 in the tenths place.
0.53 0.41
0.42
0.470.37
0.870.79
0.12
0.19
7 in the hundredths place.
Page 23 of 39
Complete the Carroll Diagram from these numbers.
Identify the Value of Decimal Digits Answers
0.43 0.33 0.98 0.99 0.69 0.89 0.07 0.97
0.81 0.96 0.91 0.93 0.19 0.36 0.16 0.56
0.22 0.52 0.31 0.24 0.15 0.85 0.25 0.62
9 in the hundredths place not 9 in the hundredths place
8 in the tenths place 0.89 0.81, 0.85
not 8 in the tenths place 0.99, 0.69, 0.19
0.43, 0.33, 0.98, 0.07, 0.97, 0.96, 0.91, 0.93, 0.36, 0.16, 0.56, 0.22, 0.52, 0.31, 0.24,
0.15, 0.25, 0.62
Page 24 of 39
Recognising the value of digits in numbers up to 3 decimal places.
Find all the numbers above that have the following:
0.28 0.6 0.62 0.772 0.989 0.095 0.139 0.774
0.453 0.223 0.919 0.397 0.343 0.005 0.107 0.216
0.54 0.694 0.716 0.27 0.564 0.539 0.805 0.229
0.635 0.61 0.316 0.169 0.416 0.614 0.873 0.655
0.82 0.822 0.786 0.601 0.916 0.428 0.189 0.874
0.449 0.746 0.636 0.774 0.663 0.666 0.525 0.991
0.65 0.485 0.015 0.969 0.083 0.063 0.558 0.005
0.639 0.053 0.169 0.766 0.148 0.5 0.74 0.129
0.288 0.818 0.859 0.792 0.299 0.852 0.213 0.984
0.915 0.378 0.303 0.167 0.364 0.552 0.557 0.838
0.775 0.223 0.205 0.572 0.376 0.736 0.01 0.503
0.047 0.732 0.592 0.907 0.643 0.987 0.423 0.048
Identify the Value of Decimal Digits Answers
5 in the tenths place 0.54, 0.564, 0.539, 0.525, 0.558, 0.5, 0.552, 0.557, 0.503, 0.572, 0.592
2 in the hundredths place 0.229, 0.822, 0.525, 0.129, 0.223, 0.423
1 in the thousandths place 0.601, 0.991
8 in the tenths place 0.82, 0.822, 0.859, 0.852, 0.805, 0.873, 0.874, 0.838
4 in the hundredths place 0.54, 0.449, 0.047, 0.746, 0.643, 0.148
9 in the thousandths place 0.449, 0.169, 0.859, 0.299, 0.539, 0.189, 0.129, 0.229
7 in the tenths place and 3 in the hunderdths place 0.736, 0.732
3 in the hunderdths place and 2 in the thousandths place 0.732
2 in the tenths place and 9 in the thousandths place 0.299, 0.229
1 in the tenths place, 4 in the hunderdths place and 8 in the thousandths place 0.148
Page 25 of 39
Place the following digits in the Venn Diagram.
0.529 0.651 0.8 0.646 0.099 0.062 0.549 0.898
0.983 0.32 0.019 0.305 0.804 0.101 0.377 0.388
0.663 0.207 0.797 0.532 0.24 0.596 0.332 0.376
0.018 0.848 0.08 0.486 0.104 0.754 0.117 0.142
0.405 0.27 0.788 0.527 0.818 0.447 0.027 0.141
0.669 0.428 0.833 0.763 0.874 0.374 0.49 0.132
Identify the Value of Decimal Digits Answers
8 in the tenths place 0 in the hundredths place
4 in the thousandths place
0.848
0.818
0.898
0.8
0.804
0.874
0.754
0.374
0.104
0.101
0.305
0.207
0.405
Page 26 of 39
Multiplying and Dividing Decimals by 10, 100 and 1000 Answers
Multiply the following numbers by 10, 100 and 1000 to complete the table.
Divide the following numbers by 10, 100 and 1000 to complete the table.
Complete the following table.
× 10 × 100 × 1000
5.7 57 570 5700
23.02 230.2 2302 23 020
0.92 9.2 92 920
0.306 3.06 30.6 306
24.67 246.7 2467 24 670
÷ 10 ÷ 100 ÷ 1000
43 4.3 0.43 0.043
219 21.9 2.19 0.219
703 70.3 7.03 0.703
64.8 6.48 0.648 0.0648
2560 256 25.6 2.56
× 10 ÷ 10 ÷ 100
507 5070 50.7 5.07
17.6 176 1.76 0.176
6.3 63 0.63 0.063
203.7 2037 20.37 2.037
1.93 19.3 0.193 0.0193
Aim: Multiply and Divide decimal numbers by 10, 100 and 1000
Page 27 of 39
Multiplying and Dividing Decimals by 10, 100 and 1000 Answer
Multiply the following numbers by 10, 100 and 1000 to complete the table.
Divide the following numbers by 10, 100 and 1000 to complete the table.
Complete the following table.
× 10 × 100 × 1000
4.02 40.2 402 4020
0.045 0.45 4.5 45
34.094 340.94 3409.4 34 094
209.817 2098.17 20 981.7 209 817
0.006 0.06 0.6 6
÷ 10 ÷ 100 ÷ 1000
56.9 5.69 0.569 0.0569
209 20.9 2.09 0.209
4.56 0.456 0.046 0.00456
709.6 70.96 7.096 0.710
0.072 0.0072 0.00072 0.000072
× 1000 × 10 ÷ 100
607 607 000 6070 6.07
4 901 4 901 000 49 010 49.01
0.08 80 0.8 0.008
17.809 17809 178.09 0.17809
37 37 000 370 0.37
Aim: Multiply and Divide decimal numbers by 10, 100 and 1000
Page 28 of 39
Calculate the following mentally:
Calculate the following, using a formal written method if required.
0.1 × 8 = 0.8 0.03 × 4 = 0.12 9 × 0.5 = 4.5
7 × 0.05 = 0.35 6 × 0.8 = 4.8 0.02 × 9 = 0.18
0.7 × 8 = 5.6 0.05 × 7 = 0.35 0.06 × 6 = 0.36
7 × 0.9 = 6.3 0.6 × 7 = 4.2 4 × 0.02 = 0.08
0.06 × 3 = 0.18 8 × 0.8 = 6.4 0.08 × 8 = 0.64
1 × 0.05 = 0.05 0.4 × 7 = 2.8 6 × 0.09 = 0.54
Multiplying Single Digit Decimals Answers
0.9 × 45 = 40.5 76 × 0.03 = 2.28 0.5 × 36 = 18
93 × 0.08 = 7.44 0.7 × 81 = 56.7 72 × 0.4 = 28.8
0.06 × 56 = 3.36 98 × 0.09 = 8.82 0.2 × 87 = 17.4
Page 29 of 39
Aim: to solve problems involving the multiplication of single digit decimals
Multiply Single Digit Decimals Word Problems Answers
1. Pencils cost a school £0.07 each. A box holds 12 pencils. How much do 2 boxes cost the school?
£1.68
5.4m
£3.60
3.24kg
£4.92
9 litres
2. A set of miniature gauge railway track contains 18 pieces that are 0.3m long. How long would the railway be when all the peces of track are put together?
3. A shop buys a box of 72 mini chocolate bars from a wholesaler for £0.05 each. How much does the box cost?
4. Small boxes of sultanas weigh 0.06kg each. How much will 54 boxes weigh?
5. A stationery shop buys erasers for £0.03 each and sells them for £0.07. If the shop sells 123 in a month, what profit is made on the erasers?
6. A hospital buys bottles of medicine. Each bottle contains 0.6 litres of medicine. How much medicine will be in a case of 15 bottles?
Page 30 of 39
Calculate the following, giving answers with up to 2 decimal places:
Written Division Answers
10. 95 ÷ 3 = 31.67
3. 28 ÷ 8 = 3.5
13. 23 ÷ 4 = 5.75
6. 203 ÷ 5 = 40.6
16. 79 ÷ 5 = 15.8
1. 12 ÷ 5 = 2.4
11. 100 ÷ 9 = 11.11
4. 53 ÷ 4 = 13.25
14. 37 ÷ 2 = 18.5
7. 15 ÷ 6 = 2.5
17. 87 ÷ 6 = 14.5
2. 34 ÷ 3 = 11.33
12. 326 ÷ 8 = 40.75
5. 90 ÷ 8 = 11.25
15. 53 ÷ 3 = 17.67
8. 25 ÷ 4 =
9. 57 ÷ 5 =
6.25
11.4 18. 500 ÷ 3 = 166.67
Page 31 of 39
Round the following numbers to 1 decimal place.
Round the following numbers to 2 decimal places.
1. 0.23 = 0.2
7. 0.284 = 0.28
2. 0.79 = 0.8
8. 0.049 = 0.05
3. 3.25 = 3.3
9. 7.725 = 7.73
4. 9.205 = 9.2
10. 8.003 = 8.00
5. 14.672 = 14.7
11. 14.562 = 14.56
6. 24.535 = 24.5
12. 287.015 = 287.02
Rounding to Specific Degrees of Accuracy Answers
Page 32 of 39
1. A bicycle shop has a sale, and sells all its products with a 25% discount. Calculate the new prices of these items, rounding the answer to the nearest penny.
2. A scientist collects 1 litre of river water to test for pollution and finds the following levels of chemicals. Calculate the percentage of each pollutant to 2 decimal places.
3. A traveller wants to exchange some sterling for foreign currency for a journey. Using the exchange rates in the table below and the amounts required to be exchanged, calculate how much currency the traveller will be able to obtain to 2 decimal places.
Item Cost before 25% discount Cost after 25% discount
Adult bicycle £209.50 £157.13 (157.125)
Child's bicycle £87.37 £65.53 (65.5275)
Cycle helmet £32.95 £24.71 (24.7125)
Pollutant Amount % of pollutant in 1 litre
Zinc 3.45ml 0.35%
Lead 5.82ml 0.58%
Copper 1.97ml 0.2%
Currency £1 buys Amount to exchange Foreign currency
Euro 1.35436 £100 135.44 (135.436)
Hungarian Forint 424.148 £30 12724.44
Swiss Franc 1.46594 £60 87.96 (87.9564)
Czech Koruna 36.6064 £40 1464.26 (1464.256)
Rounding to Specific Degrees of Accuracy Answers
Page 33 of 39
1. Over a season, a football team scores 84 goals in 38 matches. What is the mean number of goals per game, rounded to one decimal place?
2. A school fruit shop takes £34.67 in one school week. Giving the answer to the nearest penny, what is the mean amount taken each day?
3. A cricket team needs to score 258 runs in 50 overs. What is the average run rate the team needs to score each over, rounding the answer to one decimal place?
4. There are 12 pizzas for a class party. Each pizza is cut into 8 pieces, and is to be shared among 28 children. If shared equally, how many pieces would each child have to eat, rounded to one decimal place?
5. A farmer grows 2478kg of potatoes. He sells the crop equally between 5 local farm shops. What weight of potatoes will each shop get, to the nearest half a kilogram?
Solve Problems to Specified Degree of Accuracy Answers
2.2 goals
£6.93
5.2 runs per over
3.4 pieces
495.5kg
Page 34 of 39
1. 25% of a class join the chess club. What fraction of children do not join the chess club?
2. A third of a box of crisps are salt and vinegar flavour. 50% are ready salted. The rest are cheese and onion. What fraction of the crisps are cheese and onion?
3. There are 30 children in a class, of whom twelve are boys. What fraction of the class are girls?
4. Seven tenths of a crowd at a football match support the home team. If the rest are all away fans, what percentage of the crowd support the away team?
5. There are 80 sweets in a bag. Complete the following table showing the number, fraction and percentage of each flavour.
Recall and Use Equivalences Answers
34
16
35
30%
Flavour Number Fraction Percentage
Orange 20 35 or
14 25%
Strawberry 16 15 20%
Lime 44 1120 55%
Page 35 of 39
For each model, write the fraction and percentage of the cubes that are black.
1.
3.
5.
7.
2.
4.
6.
8.
Percentage and Decimal Equivalents Answers
25
1320
45
720
710
2125
15
925
40%
65%
80%
35%
70%
84%
20%
36%
Page 36 of 39
Calculate the values of the following and order them from smallest to largest.
9.
10.
11.
12.
a. 20% of 25
a. 45 of 35
a. 25% of 20
a. 125
of 75
b. 12 of 24
b. 75% of 32
b. 80% of 10
b. 25
of 15
c. 25 of 10
c. 12 of 52
c. 120
of 80
c. 40% of 10
5
28
5
3
12
24
8
6
4
26
4
4
C A B
smallest largest
C A B
smallest largest
A C B
smallest largest
B C A
smallest largest
Page 37 of 39
13.
14.
15.
16.
a. 12% of 50
a. 50% of 48
a. 45
of 45
a. 36% of 125
b. 14
of 28
b. 15
of 125
b. 25% of 140
b. 25
of 105
c. 45
of 10
c. 30% of 70
c. 60% of 55
c. 34
of 64
6
24
36
45
7
25
35
42
8
21
33
48
A B C
smallest largest
C A B
smallest largest
C B A
smallest largest
B A C
smallest largest
Page 38 of 39
Calculate the values of the following and order them from smallest to largest.
Calculate the values of the following and order them from smallest to largest.
Fraction Decimal Fraction Percentage
17. 25 0.40 40%
18. 12 0.50 50%
19. 14 0.25 25%
20. 45 0.80 80%
21. 310 0.30 30%
22. 15 0.20 20%
23. 34 0.75 75%
24. 725 0.28 28%
25.
27.
29.
28.
30.
26. 80% = 25 =
0.15 =
310
=
92% =
12% =
Page 39 of 39
![Grade 3, Week 2 · Grade 3, Week 2 Division and Fractions Day Topic Pages Day 1 Use Partial Products [2-Digit x 1-Digit] 2-3 Day 2 Understand Division 4-5 Day 3 Partial Quotients](https://img.pdfslide.net/doc/110x75/5f2b858b49460953d872e2f7/grade-3-week-2-grade-3-week-2-division-and-fractions-day-topic-pages-day-1-use.jpg)
