year 7, 2014
DESCRIPTION
Year 7, 2014 . Exam revision ANSWERS. Tick off, when you have revised!. What’s in your Exam:. Number : 3.3 Rounding Numbers 1.3 Arithmetic 1.2 Averages and Range 1.6 Long Multiplication and Division 1.5 Decimals 1 2.2 Fractions 4.1 Ratio & Proportion - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/1.jpg)
1
Year 7, 2014 Exam
revision ANSWERS
![Page 2: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/2.jpg)
2
What’s in your Exam:Number:3.3 Rounding Numbers 1.3 Arithmetic 1.2 Averages and Range 1.6 Long Multiplication and Division1.5 Decimals 1 2.2 Fractions 4.1 Ratio & Proportion 2.5 Percentages 3.2 Orders of Operation 3.1 Properties of Number 3.4 Negative Numbers 4.6 Metric and Imperial Units 4.2 Decimals 2 4.5 Solving Problems
Tick off, when you
have revised!
Shape and space:1.4 Area and Perimeter 3.6 Calculating Angles 5.2 Reflection 5.1 Rotation 5.3 Translation 5.4 Construction 3.5 3D Objects and Nets
Algebra:2.1 Number Machines 1.1 Sequences 2.4 Rules of Algebra 4.3 Solving Equations 2.3 Coordinates 4.4 Straight Line Graphs
![Page 3: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/3.jpg)
3
Round these numbers to the nearest 10:1) 152) 343) 574) 1215) 299
Round these numbers to the nearest 1 dp:1) 15.212) 34.373) 57.594) 121.355) 205.99
Rounding
![Page 4: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/4.jpg)
4
Round these numbers to the nearest 10:1) 152) 343) 574) 1215) 299
Round these numbers to the nearest 1 dp:1) 15.212) 34.373) 57.594) 121.355) 205.99
203060120300
15.234.457.6121.4206.0
![Page 5: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/5.jpg)
5
1)234 + 252)532 + 173)699 + 194)999+1275)19+356)55-117)39-128)126-179)319-2110)678-99
Arithmetic 1
![Page 6: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/6.jpg)
6
1)234 + 252)532 + 173)699 + 194)999+1275)19+356)55-117)39-128)126-179)319-2110)678-99
2595497181126544427109298579
![Page 7: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/7.jpg)
7
Averages and Range
![Page 8: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/8.jpg)
8
7216mBluecar
67.8182810.5
131.58cm5m2
![Page 9: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/9.jpg)
9
1)12 x 132)62 x 93)199 x 94) 505 x 55) 31 x 306)715 ÷ 47)235 ÷ 58)48 ÷ 49)558 ÷ 910)14032 ÷ 8
Multiplication and division:
![Page 10: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/10.jpg)
10
1)12 x 132)62 x 93)199 x 94) 505 x 55) 31 x 306)715 ÷ 47)235 ÷ 58)48 ÷ 49)558 ÷ 910)14032 ÷ 8
15655817912525930178.754712621754
![Page 11: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/11.jpg)
11
Arrange these in order smallest to biggest1)0.21, 0.31, 0.122)0.15, 0.143, 0.23) 1.2, 0.12, 0.21, 1.124) 2.3, 2.03, 0.75, 0.85) £1.20, 75p, £0.8
Work out:1) 5+0.262) 0.078+2.053) 13.47+27.0844) 59.2-34.85) 12-3.74
Decimals 1:
![Page 12: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/12.jpg)
12
Arrange these in order smallest to biggest1)0.21, 0.31, 0.122)0.15, 0.143, 0.23) 1.2, 0.12, 0.21, 1.124) 2.3, 2.03, 0.75, 0.85) £1.20, 75p, £0.8
Work out:1) 5+0.262) 0.078+2.053) 13.47+27.0844) 59.2-34.85) 12-3.74
0.12, 0.21, 0.310.143, 0.15, 0.20.12, 0.21, 1.12, 1.20.75, 0.8, 2.03, 2.375p, £0.8, £1.20
5.262.12840.55424.48.26
![Page 13: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/13.jpg)
13
1)5.1 x 22)9 x 0.0743)0.3 x 44)4.23 x 105)0.427 x 1006)8.42 ÷ 27)205.2 ÷ 68)89.2 ÷ 109)7 ÷ 100010)890.4 ÷ 10
Decimals 2:
![Page 14: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/14.jpg)
14
1)5.1 x 22)9 x 0.0743)0.3 x 44)4.23 x 105)0.427 x 1006)8.42 ÷ 27)205.2 ÷ 68)89.2 ÷ 109)7 ÷ 100010)890.4 ÷ 10
10.20.6661.242.342.74.2134.28.920.00789.04
![Page 15: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/15.jpg)
15
Harder (level 6 ) decimal questions
1) 51 x 0.02
2) 912 ÷ 0.12
3) 5791 × 21.3
4)69.2 ÷ 13 (3dp)
1.02
7600
123348.3
5.323
![Page 16: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/16.jpg)
16
Harder (level 6 ) decimal questions
1) 51 x 0.02
2) 912 ÷ 0.12
3) 5791 × 21.3
4)69.2 ÷ 13 (3dp)
![Page 17: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/17.jpg)
17
Work out what the “?” represents:1)15 = ? 20 4
2) 8 = ? = ? 12 6 3
3) ? = 3 = 15 21 7 ?
4) ? = 3 = ? 10 5 25
5) 21 = ? = 7 ? 30 15
Fractions 1:
![Page 18: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/18.jpg)
18
Work out what the “?” represents:1)15 = ? 20 4
2) 8 = ? = ? 12 6 3
3) ? = 3 = 15 21 7 ?
4) ? = 3 = ? 10 5 25
5) 21 = ? = 7 ? 30 15
3
4, 2
9, 35
6, 15
45, 14
![Page 19: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/19.jpg)
19
Change the following to mixed numbers:1)7/22)10/73)9/44)150/1005)19/5
Change the following to improper fractions:
6)1 ¼ 7)1 ⅓8) 2⅟5
9)8 3/7
10)3 1/10
Fractions 2:
![Page 20: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/20.jpg)
20
Change the following to mixed numbers:1)7/22)10/73)9/44)150/1005)19/5
Change the following to improper fractions:
6)1 ¼ 7)1 ⅓8) 2⅟5
9)8 3/7
10)3 1/10
5/44/311/559/731/10
3 ½ 1 3/7
2 ¼ 1 ½ 3 4/5
![Page 21: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/21.jpg)
21
Find the given fractions of the numbers:1)3/8 of £242)¾ of £363)5/8 of 480cm4)7/10 of 30g5)5/9 of £1086)5/8 of 64p7)2/3 of 120cm8)8/9 of 72litres9)2/5 of 30p10)2/3 of 30kg
Fractions 3:
![Page 22: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/22.jpg)
22
Find the given fractions of the numbers:1)3/8 of £242)¾ of £363)5/8 of 480cm4)7/10 of 30g5)5/9 of £1086)5/8 of 64p7)2/3 of 120cm8)8/9 of 72litres9)2/5 of 30p10)2/3 of 30kg
£9£27300cm21g£6040p80cm64litres12p20kg
![Page 23: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/23.jpg)
23
1) 1/5 + 2/52) 1/6 + 4/63) 9/10 – 3/104) 12/15 – 5/155) ¼+ ½ 6) 3/8 + ½7) 5/8 – ½8) 2/3 – 1/69) 1/10 – 1/2010)7/8 – 1/2
Fractions 4:
![Page 24: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/24.jpg)
24
1) 1/5 + 2/52) 1/6 + 4/63) 9/10 – 3/104) 12/15 – 5/155) ¼+ ½ 6) 3/8 + ½7) 5/8 – ½8) 2/3 – 1/69) 1/10 – 1/2010)7/8 – 1/2
3/55/63/57/15¾7/81/8½1/203/8
![Page 25: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/25.jpg)
25
Change these fractions to decimals and percentages
1) ¼2) ½3) 1/34) 1/1005) 1/106) 2/107) 9/108) 27/1009) 11/2010)2/25
Fractions 5:
![Page 26: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/26.jpg)
26
Change these fractions to decimals and percentages
1) ¼2) ½3) 1/34) 1/1005) 1/106) 2/107) 9/108) 27/1009) 11/2010)2/25
0.25, 25%0.5, 50%0.333333....., 33.3333...%0.01, 1%0.1, 10%0.2, 20%0.9, 90%0.27, 27%0.55, 55%0.08, 8%
![Page 27: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/27.jpg)
27
Write these ratios in the simplest form:1)8:122)5:253)9:154)12:305)21:356)24:327)36:548)44:779)36:8410)65:39
Ratios
![Page 28: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/28.jpg)
28
Write these ratios in the simplest form:1)8:122)5:253)9:154)12:305)21:356)24:327)36:548)44:779)36:8410)66:39
2:31:53:52:53:53:42:34:73:722:13
![Page 29: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/29.jpg)
29
Divide the numbers into the ratios
1) £18 into 1:2
2) £27 into 2:7
3) £35 into 2:3
4) £42 into 3:4
5) £100 into 3:7
Ratios2:
![Page 30: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/30.jpg)
30
Divide the numbers into the ratios
1) £18 into 1:2
2) £27 into 2:7
3) £35 into 2:3
4) £42 into 3:4
5) £100 into 3:7
£6 and £12
£6 and £21
£14 and £21
£18 and £24
£30 and £70
![Page 31: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/31.jpg)
31
1)20% of £502)10% of £903)50% of £454)90% of £1005)1% of £3006)5% of $1007)60% 0f 608)30% of $409)40% OFF £3010) 10% OFF $40
Percentages1
![Page 32: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/32.jpg)
32
1)20% of £502)10% of £903)50% of £454)90% of £1005)1% of £3006)5% of $1007)60% 0f 608)30% of $409)40% OFF £3010) 10% OFF $40
£10£9£27.50£90£3$536$12£18$36
![Page 33: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/33.jpg)
33
Use a calculator to work out:1) 24% of £322) 97% of 40003) 35% of 400m4) 37% of £9.655) 8% of £11.646) 11% of 710km7) 6% of £4068) 18% of 28km9) 19% of £112010)12% of £24.52
Percentages 2:
![Page 34: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/34.jpg)
34
Use a calculator to work out:1) 24% of £322) 97% of 40003) 35% of 400m4) 37% of £9.655) 8% of £11.646) 11% of 710km7) 6% of £4068) 18% of 28km9) 19% of £112010)12% of £24.52
£7.683880140m£3.57£0.9378.1km£24.365.04km£212.80£2.94
![Page 35: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/35.jpg)
35
Pg15 Questions
1) 96 ÷ 4 – 42) 9 + 26 ÷ 133) 1 x 2 + 34) 4 x 11 – 28 ÷ 75) 13 x 11 – 4 x 86) 30 – 9 x 2 + 407) (20-12) x (17 – 9)8) 1001 + (57 x 3)9) (16 – 7) x 610)(2 x 5 x 3) ÷ (11-5)
Order of operations:
![Page 36: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/36.jpg)
36
1) 96 ÷ 4 – 42) 9 + 26 ÷ 133) 1 x 2 + 34) 4 x 11 – 28 ÷ 75) 13 x 11 – 4 x 86) 30 – 9 x 2 + 407) (20-12) x (17 – 9)8) 1001 + (57 x 3)9) (16 – 7) x 610)(2 x 5 x 3) ÷ (11-5)
101154011152641172545
![Page 37: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/37.jpg)
37
Write all the factors of:1) 122) 243) 364) 155) 18Write the first 5 multiples of:6) 47) 78) 99) 1210) 15
Number properties1:
![Page 38: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/38.jpg)
38
Write all the factors of:1) 122) 243) 364) 155) 18Write the first 5 multiples of:6) 47) 78) 99) 1210) 15
1,2,3,4,6,121,2,3,4,6,8,12,241,2,3,4,6,9,12,18,361,3,5,151,2,3,6,9,184,8,12,16,207,14,21,28,359,18,27,36,4512,24,36,48,6015,30,45,60,75
![Page 39: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/39.jpg)
39
Choose the numbers that fall into the group written above the table. Unravel them to find the name of a county cricket team.
1 15 2 37 21 5 29 81 53 39 27T L E S D S X H E C O
1: Prime Numbers
24 27 6 1 125
8 18 150
64 216
36
A E S S R Y S X R U T
2: Cube Numbers
3 9 10 1 16 18 25 15 21 12 6D L H R L S X U M E A
3: Triangular Numbers
6 1 20 100
8 12 64 27 30 62 256
P E L X N E K A S H T
4: Powers of 2
![Page 40: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/40.jpg)
40
1) 6 + - 42) -3 + - 63) -4 – 14) 8 – 135) -2 + 46) -3 - - 27) 7 - + 108) 7 + - 99) - 6 - - 610)-8 + - 2
Negative numbers1:
![Page 41: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/41.jpg)
41
1) 6 + - 42) -3 + - 63) -4 – 14) 8 – 135) -2 + 46) -3 - - 27) 7 - + 108) 7 + - 99) - 6 - - 610)-8 + - 2
2-9-5-52-1-3-20-10
![Page 42: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/42.jpg)
42
× -4 -3 -2 -1 0 1 2 3 4-4 4 0 -4 -8 -16-3 0 -3 -6 -9-2 0 -2 -6 -8-1 0 -1 -2 -3 -40 0 0 0 0 012 -63 94
Complete the table
![Page 43: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/43.jpg)
43
1. 4 x 1 = _4_2. 4 x 2 = ___3. 4 x 3 = ___4. 4 x 4 = ___5. Positive × Positive =
_________6. 4 ÷ 4 = 17. 8 ÷ 4 = ___8. 12 ÷ 4 = ___9. 16 ÷ 4 = ___10.Positive ÷ Positive =
___________
11.– 4 x 1 = ___12.– 4 x 2 = ___13.– 4 x 3 = ___14.– 4 x 4 = ___15.Negative x Positive
= _________16.– 4 ÷ – 4 = 117.– 8 ÷ – 4 = ___18.– 12 ÷ – 4 = ___19.– 16 ÷ – 4 = ___20.Negative ÷ Negative
= ___________
![Page 44: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/44.jpg)
44
Unit conversions:1) Convert 12.5cm to inches. 2) The longest nose on a living person is 8.8cm.
Convert this measurement to inches.3) The largest bubble gum bubble blown has a
diameter of 20.3 inches. Convert this measurement to centimetres.
4) Convert 51cm into feet. 5) The longest snake ever is 7.3m. Convert to feet.
(Hint: convert 7.3m to centimetres first, then into feet)
6) Convert 6.5 feet into (i) cm (ii) m.7) Convert the following into litres: 4 pints and 3
gallons8) Convert the following into pints: 855 ml and 7 l9) Convert the following into kilograms:4.4 pounds
& 1 stone10)Convert the following into kilometres:9 miles
& 16.5 miles11)Extension question I run a 10km race in 56
minutes. What is my average speed for the race in:
a) kilometres per minute b) miles per minute c) miles per hour
![Page 45: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/45.jpg)
45
1) 12.5cm / 2.5 = 5 inches2) 8.8cm / 2.5 = 3.52 = 3.5 inches (1 dp)3) 20.3 inches x 2.5 = 50.75 = 50.8cm (1 dp)4) 51cm / 30 = 1.7 feet5) 7.3m = 730cm. 730 / 30 = 24.33333…. = 24.3 feet (1 dp)6) (i) 6.5 feet x 30 = 195cm (ii)195 / 100 = 1.95m7) 4 pints / 1.75 = 2.285714…. = 2.3 litres (1 dp) b) 3
gallons x 4.5 = 13.5 litres8) 855ml / 570 = 1.5 pints b) 7l x 1.75 = 12.25 pints9) 4.4 pounds / 2.2 = 2 kg b) 1 stone = 14 pounds. 14 /
2.2 = 6.36363636… = 6.4 kg (1 dp)10)9miles x 1.6 = 14.4 km b) 16.5 miles x 1.6 = 26.4 km11)a) 10km / 56 minutes = 0.1785714… = 0.2 km per
minuteb) 10 km / 1.6 = 6.25 miles. 6.25 miles / 56 minutes = 0.11160714… = 0.1 miles per minutec) 60 mins in 1 hour. 0.11160714… x 60 = 6.69642857…. = 6.7 miles per hour
![Page 46: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/46.jpg)
46
Number machines
![Page 47: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/47.jpg)
47
6
11
2
5
2540
615
11
1827
712
79
17
256
60
8222
418
25
![Page 48: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/48.jpg)
48
Copy and complete the sequences:1)1,3,5,?,9,?2)2,4,?,8,10,?3)3,?,9?,15,18,?4)33,30,?,24,?5)66,?,?,33,?,116)2?,8,?,14,17,?7)8,?,18,?,28,?
Work out the next two terms and the term to term rule:8)4,8,12,169)27,24,21,1810)100,200,400,80011)1,10,100,100012)0,250,500,75013)812,712,612,51214)318,338,358,378
Sequences
![Page 49: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/49.jpg)
49
Copy and complete the sequences:1)1,3,5,?,9,?2)2,4,?,8,10,?3)3,?,9?,15,18,?4)33,30,?,24,?5)66,?,?,33,?,116)2?,8,?,14,17,?7)8,?,18,?,28,?
Work out the next two terms and the term to term rule:8)4,8,12,169)27,24,21,1810)100,200,400,80011)1,10,100,100012)0,250,500,75013)812,712,612,51214)318,338,358,378
7,116,126,12,2127,2155,44,225,11,2013,23,33
20,24 +415,12 -31600,3200 x210000,100000, x101000,1250 +250412,312 -100398,418 +20
![Page 50: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/50.jpg)
50
![Page 51: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/51.jpg)
51
![Page 52: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/52.jpg)
52
![Page 53: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/53.jpg)
53
Rules of Algebra
![Page 54: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/54.jpg)
54
2x 4x 4x 10x 10x 13x
3x + 1
x+4 2x+25x+
53x+1
4x+78x+
3 11x+7
9x+5
x+2y 5x+y 4x+2y2x+
2y2x+9y
10x+y
18x+5y+4
5x+6y+2
5x+8y+7
x+y+8 2x+3y
+33x+5y+5
![Page 55: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/55.jpg)
55
Rules of algebra
![Page 56: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/56.jpg)
56
B = 12B = 7B = 5.5
s=4s=7s=6d=220
F=30
F=48F=6.5m=6
![Page 57: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/57.jpg)
57
Rules of Algebra
![Page 58: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/58.jpg)
58
37.650.28
207.
5
1.221.250.83
![Page 59: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/59.jpg)
59
Solving algebra
![Page 60: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/60.jpg)
60
(x-11)÷52(x+7)
(3x+5) ÷43(10-x)
x÷3 + 5
x=70 x=6 x=67x=65 x=40 x=5x=40 x=30 x=12
x=64 x=36 x=100
![Page 61: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/61.jpg)
61
Solving algebra
![Page 62: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/62.jpg)
62
x+7
x+y
p-q
n-5
k-2
t+2
![Page 63: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/63.jpg)
0 1 2 3 4 5 6-6 -5 -4 -3 -2-101
23
456
-6-5
-4-3-2
x
y
789
-7-8
-9
7 8-1-7-8
x 5
y -6 -3 0 3 6
x -3 -2 -1 0 1
Y
x -6 -3 0 3 6
y 4 4 4 4 4
x -6 -3 0 3 6
y -4 2
x -6 -3 0 3 6
y -9 0
x = -4
x = 5
These lines are v_________ and p_________
They pass through the x-axis at _____________________
X -4 -4 -4 -4 -5
y -6 -3 0 3 6Complete each table or equation, plot the line on the graph and label it, then complete the missing words
Graphs of Algebraic Equations
y = -8
y = __
These lines are h____________ and p____________ They pass through the y-axis at _________________
y = x + 2
y = x - __
Adding a value to x moves the graph _____________ Subtracting a value from x moves it ______________
Linear Graphing
63
![Page 64: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/64.jpg)
0 1 2 3 4 5 6-6 -5 -4 -3 -2-101
23
456
-6-5
-4-3-2
x
y
789
-7-8
-9
7 8-1-7-8
x -2 -1 0 1 2y
x -2 -1 0 1 2
y
x 0 1 2 3 4
y
x -2 -1 0 1 2
y
Complete each table, then plot the points on the graph, complete the line and label it
Graphs of Algebraic Equations
y = 3x + 1
y = 2x - 1
y = 5 – x
y = ½x - 3
64
![Page 65: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/65.jpg)
65
Work out the perimeter of:Area and perimeter
![Page 66: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/66.jpg)
66
Work out the perimeter of:
38cm 46cm
42cm 38cm
36cm 45cm
![Page 67: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/67.jpg)
67
Area and perimeter
![Page 68: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/68.jpg)
68
117m2
100m2
27cm2
22cm2
72cm2
![Page 69: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/69.jpg)
69
Calculating Angles1:
![Page 70: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/70.jpg)
70
Reflex Obtuse
Right AngleObtus
eObtuse
158o 356o 115o 211o
![Page 71: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/71.jpg)
71
Calculate the angles marked with lettersCalculating Angles2:
![Page 72: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/72.jpg)
72
Calculate the angles marked with letters
339o 115
o
85o
47o
115o
225o
169o
65o
72o 26o50o
46o
![Page 73: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/73.jpg)
73
![Page 74: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/74.jpg)
74
Identify two pairs of corresponding angles and two pairs of alternate angles in each diagram:
Find the missing angles:
![Page 75: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/75.jpg)
75
1 4 5 °
7 4 °
9 2 °
y
P
Q
RS
N o t d raw n accu ra te ly
y
3 x 2 x4 x
N o t d raw n accu ra te ly1: Find x and y
2: Find y:
Sum of angles in a polygon = (number of sides – 2) x 180
![Page 76: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/76.jpg)
76
Copy and complete:Calculating Angles3:
![Page 77: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/77.jpg)
77
Copy and complete:two two
no nothree three
90four four90 two
twoequal
parallelfour four
twotwoequal four four
oneone
equalfour four
twotwo
equal
perpendicular
![Page 78: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/78.jpg)
78
Calculating Angles4:
![Page 79: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/79.jpg)
79
Reflection
![Page 80: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/80.jpg)
80
A B
C ED
![Page 81: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/81.jpg)
81
Rotation:
![Page 82: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/82.jpg)
82
90o A/C (1,5)180o (3.5,4)
180o (1.5,3)90o A/C (3,3)
![Page 83: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/83.jpg)
83
Symmetry
![Page 84: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/84.jpg)
84
2 1 4
2 1 6
![Page 85: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/85.jpg)
85
Translation
![Page 86: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/86.jpg)
86
a) 2 right and 3 upb) 6 rightc) 2 left and 3 downd) 6 lefte) 4 right and 2 upf) 2 left and 7 upg) 4 left and 2 downh)2 right and 7 down
![Page 87: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/87.jpg)
87
3D Objects and Nets
![Page 88: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/88.jpg)
88
8 6 12
![Page 89: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/89.jpg)
89
3D shapes and nets
![Page 90: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/90.jpg)
90
![Page 91: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/91.jpg)
91
3D shapes and nets
![Page 92: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/92.jpg)
92
13cm3
11cm3
15cm3 13c
m3
10220
16348
8324
20240
![Page 93: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/93.jpg)
93
1. The number FIVE as written using block capitals contains exactly 10 strokes or segments of a straight line. Find a number which when written out in words (using no tricks) contains as many strokes as the number says.
2. There are two clocks. One of them gains 6 seconds in every hour, while the other loses 9 seconds in every hour. If they are both set to show the same time, and then set going, how long will it be before they are exactly 1 hour different?
3. How many days is it from Wednesday the 1st August to the first Saturday in September?
4. Find four consecutive odd numbers which add up to to a total of 80.
5. What is the opposite of "NOT OUT"?
6. When one particular number, written in figures, is turned upside down it increases in value by 21. Which number is that?
7. A car has travelled 24,000 km and, in that distance, has worn out 6 tyres. Each tyre travelled the same distance. How far did each separate tyre travel?
8. A man bought 50 metres of rope in a shop. He did not know it, but the metre-rule used to measure the rope was 1cm short. What length of rope did he actually get?
9. Find two whole numbers which, when multiplied together give an answer of 41.
10.
If 6 cats can catch 6 rats in 6 minutes, how many cats are needed to catch 10 rats in 10 minutes?
Problem solving:
![Page 94: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/94.jpg)
94
Answers:1.TWENTY NINE 2.240 hours3.32 inclusive of both dates. 4.17 + 19 + 21 + 23 = 805.OUT!6.68 (changes to 89)7.4-wheeler 16,000 km each. 3-
wheeler 12,000 km each.8.49.5 metres9.1 x 4110.6 cats.
![Page 95: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/95.jpg)
95
On this diagram you may start at any square and move up or down or across (but NOT diagonally) into the next square. No square may be used twice. The digits in each square are written down in the order they are used. What is the largest number that can be made?
![Page 96: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/96.jpg)
96
How many acute angles can be found in this drawing?
The French Flag (known as the tricolour) is coloured Red , White ,and Blue in the way shown. Using the same three colours, how many different flags would it be possible to make?
![Page 97: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/97.jpg)
97
Draw out a 3 by 3 grid like that shown. Place the numbers -2 2 2 3 3 3 4 4 4 in it so that, when any line of three numbers is added up in any direction (including diagonally), the total is always 9
Arrange the numbers 1 to 9, using each one only once, placing only one number in each cell so that the totals in both directions ( up and down and across) are the same. How may different ways are there of doing this?
![Page 98: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/98.jpg)
98
The diagram shows an equilateral triangle and an isosceles triangle. Work out the size of the angle marked x.
![Page 99: Year 7, 2014](https://reader036.vdocument.in/reader036/viewer/2022062305/5681614e550346895dd0d408/html5/thumbnails/99.jpg)
99
Answer: