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( )Tj
9.8 0 0 9.8 59.5275 90.1033 Tm
[(Eac)18 (h small square represents )]TJ
0 -1.2 Td
[(5\036minutes horizontally)92 (. )]TJ
9.8 0 0 9.8 161.5746 78.3433 Tm
( )Tj
9.8 0 0 9.8 59.5275 66.5833 Tm
[(So Stephanie w)18 (aits for: )]TJ
9.8 0 0 9.8 157.9389 66.5833 Tm
( )Tj
9.8 0 0 9.8 59.5275 54.8233 Tm
(\(2 \327 5\) + \(1 \327 5\) = )Tj
/T1_1 1 Tf
(15 minutes )Tj
9.8 0 0 9.8 187.8772 54.8233 Tm
( )Tj
/T1_2 1 Tf
9.8 0 0 9.8 59.5275 43.0633 Tm
(\(1 mark\))Tj
/Span<>> BDC
16.005 71.524 Td
( )Tj
EMC
/T1_0 1 Tf
2.025 0 Td
[(Stephanie reac)18 (hes her of\037ce )]TJ
9.8 0 0 9.8 357.4951 743.9978 Tm
( )Tj
9.8 0 0 9.8 236.2204 732.2378 Tm
(55 minutes after 7:15 am.)Tj
9.8 0 0 9.8 344.608 732.2378 Tm
( )Tj
9.8 0 0 9.8 236.2204 720.4778 Tm
[(Add on 1 hour and subtr)12 (act )]TJ
9.8 0 0 9.8 354.8588 720.4778 Tm
( )Tj
9.8 0 0 9.8 236.2204 708.7178 Tm
(5 minutes: )Tj
9.8 0 0 9.8 283.0642 708.7178 Tm
( )Tj
9.8 0 0 9.8 236.2204 696.9578 Tm
(7:15 + 1 hour = 8:15)Tj
9.8 0 0 9.8 324.9198 696.9578 Tm
( )Tj
9.8 0 0 9.8 236.2204 685.1978 Tm
(8:15 \226 5 minutes = )Tj
/T1_1 1 Tf
(8:10 am)Tj
/T1_0 1 Tf
( )Tj
9.8 0 0 9.8 358.7297 685.1978 Tm
( )Tj
/T1_2 1 Tf
9.8 0 0 9.8 236.2205 673.4377 Tm
(\(1 mark\))Tj
/T1_0 1 Tf
-2.025 -1.778 Td
(12\))Tj
/Span<>> BDC
( )Tj
EMC
2.025 0 Td
(It takes 3)Tj
5.7134 0 0 5.7134 273.8033 659.2719 Tm
( )Tj
9.8 0 0 9.8 275.3917 656.0085 Tm
(\260C to get to 0)Tj
5.7134 0 0 5.7134 331.0652 659.2719 Tm
( )Tj
9.8 0 0 9.8 332.6536 656.0085 Tm
(\260C)Tj
9.8 0 0 9.8 343.11 656.0085 Tm
( )Tj
9.8 0 0 9.8 236.2205 644.2485 Tm
[(T)45 (hat lea)30 (v)12 (es 12 \226 3 = 9)]TJ
5.7134 0 0 5.7134 329.0067 647.5119 Tm
( )Tj
9.8 0 0 9.8 330.595 644.2485 Tm
(\260C)Tj
9.8 0 0 9.8 341.0515 644.2485 Tm
( )Tj
9.8 0 0 9.8 236.2205 632.4885 Tm
(So \2263)Tj
5.7134 0 0 5.7134 259.6425 635.7519 Tm
( )Tj
9.8 0 0 9.8 261.2308 632.4885 Tm
(\260C + 12)Tj
5.7134 0 0 5.7134 293.9723 635.7519 Tm
( )Tj
9.8 0 0 9.8 295.5606 632.4885 Tm
(\260C = )Tj
/T1_1 1 Tf
(9)Tj
5.7134 0 0 5.7134 322.8533 635.7519 Tm
( )Tj
9.8 0 0 9.8 324.4417 632.4885 Tm
(\260C)Tj
9.8 0 0 9.8 334.8981 632.4885 Tm
( )Tj
/T1_2 1 Tf
9.8 0 0 9.8 236.2205 620.7285 Tm
(\(1 mark\))Tj
/T1_0 1 Tf
-2.025 -1.778 Td
(13\))Tj
/Span<>> BDC
( )Tj
EMC
2.025 0 Td
[(T)45 (here are 1\275 lots of 16 biscuits )]TJ
0 -1.2 Td
(in 24 biscuits. )Tj
9.8 0 0 9.8 297.7839 591.5392 Tm
( )Tj
9.8 0 0 9.8 236.2205 579.7792 Tm
(So she\222ll need 1\275 lots of )Tj
9.8 0 0 9.8 342.4522 579.7792 Tm
( )Tj
9.8 0 0 9.8 236.2205 568.0192 Tm
[(22 squares of c)18 (hocolate )]TJ
9.8 0 0 9.8 338.9929 568.0192 Tm
( )Tj
9.8 0 0 9.8 236.2205 556.2592 Tm
(= 1 \327 22 + \275 \327 22 = 22 + 11 )Tj
9.8 0 0 9.8 361.7576 556.2592 Tm
( )Tj
9.8 0 0 9.8 236.2205 544.4991 Tm
(= )Tj
/T1_1 1 Tf
(33)Tj
/T1_0 1 Tf
( squares )Tj
/T1_2 1 Tf
(\(1 mark\))Tj
/T1_0 1 Tf
-0.008 Tc -2.025 -1.778 Td
[(1)-8 (4)-8 (\))]TJ
/Span<>> BDC
1.39 0 Td
( )Tj
EMC
0.635 0 Td
[(F)55 (actors of 12: 1, 2, 3, 4, 6, 12)-8 ( )]TJ
0 Tc 9.8 0 0 9.8 363.924 527.0699 Tm
( )Tj
-0.008 Tc 9.8 0 0 9.8 236.2205 515.3099 Tm
[(F)55 (actors of 18: 1, 2, 3, 6, 9, 18)]TJ
0 Tc 9.8 0 0 9.8 358.5536 515.3099 Tm
( )Tj
9.8 0 0 9.8 236.2205 503.5499 Tm
[(F)55 (actors of 30: )]TJ
9.8 0 0 9.8 295.5985 503.5499 Tm
( )Tj
9.8 0 0 9.8 236.2205 491.7899 Tm
(1, 2, 3, 5, 6, 10, 15, 30)Tj
9.8 0 0 9.8 334.2988 491.7899 Tm
( )Tj
9.8 0 0 9.8 236.2205 480.0299 Tm
[(T)45 (he highest number that appears )]TJ
0 -1.2 Td
(in all three lists is )Tj
/T1_1 1 Tf
(6)Tj
/T1_0 1 Tf
( )Tj
/T1_2 1 Tf
(\(1 mark\))Tj
/T1_0 1 Tf
-2.025 -2.357 Td
(15\))Tj
/Span<>> BDC
( )Tj
EMC
2.025 0 Td
(Rectangle area )Tj
/Span<>> BDC
( )Tj
EMC
6.612 0 Td
(= length \327 width )Tj
0 -1.2 Td
(= 12 \327 7 = 84 cm)Tj
5.7134 0 0 5.7134 375.4875 436.6747 Tm
(2)Tj
/Span<>> BDC
9.8 0 0 9.8 216.378 422.0627 Tm
( )Tj
EMC
2.025 0 Td
[(T)74 (riangle area )]TJ
/Span<>> BDC
( )Tj
EMC
5.816 0 Td
(= \275 \327 base \327 height )Tj
9.8 0 0 9.8 378.4667 422.0627 Tm
( )Tj
9.8 0 0 9.8 293.2172 410.3027 Tm
(= \275 \327 12 \327 3 )Tj
9.8 0 0 9.8 351.8992 410.3027 Tm
( )Tj
9.8 0 0 9.8 293.2172 398.5427 Tm
(= 6 \327 3 = 18 cm)Tj
5.7134 0 0 5.7134 362.238 401.8061 Tm
(2)Tj
/T1_1 1 Tf
9.8 0 0 9.8 365.4147 398.5427 Tm
( )Tj
/T1_2 1 Tf
/Span<>> BDC
-15.208 -1.2 Td
( )Tj
EMC
/T1_0 1 Tf
2.025 0 Td
(Shaded area )Tj
/Span<>> BDC
( )Tj
EMC
5.557 0 Td
(= 84 \226 18 )Tj
9.8 0 0 9.8 334.2104 386.7827 Tm
( )Tj
9.8 0 0 9.8 290.679 375.0227 Tm
(= )Tj
/T1_1 1 Tf
(66 cm)Tj
5.7134 0 0 5.7134 326.0273 378.2861 Tm
(2)Tj
/T1_0 1 Tf
9.8 0 0 9.8 329.2039 375.0227 Tm
( )Tj
/Span<>> BDC
-11.513 -1.2 Td
( )Tj
EMC
/T1_2 1 Tf
2.025 0 Td
[(\(2 marks for the corr)-5 (ect ans)10 (wer)80 (.)50 ( )]TJ
0 -1.2 Td
[(Other)-30 (wise 1\037mark for an )]TJ
0 -1.2 Td
[(appr)-5 (opriate method.\))]TJ
/T1_0 1 Tf
-2.025 -1.803 Td
(16\))Tj
/Span<>> BDC
( )Tj
EMC
2.025 0 Td
(3k + 14 = 32)Tj
9.8 0 0 9.8 291.1394 322.0734 Tm
( )Tj
9.8 0 0 9.8 236.2205 310.0734 Tm
(3k = 32 \226 14 = 18)Tj
9.8 0 0 9.8 312.3857 310.0734 Tm
( )Tj
9.8 0 0 9.8 236.2205 298.0734 Tm
(k = 18 \367 3 = )Tj
/T1_1 1 Tf
(6)Tj
/T1_0 1 Tf
( )Tj
/T1_2 1 Tf
(\(1 mark\) )Tj
/T1_0 1 Tf
-2.025 -1.778 Td
(17\))Tj
/Span<>> BDC
( )Tj
EMC
9.8 0 0 9.8 236.2205 280.6441 Tm
( )Tj
ET
/PlacedGraphic BMC
EMC
q
254.173 221.451 7.937 15.306 re
W n
BT
/CS0 cs 1 scn
/T1_13 1 Tf
7.8 0 0 7.8 255.7319 222.267 Tm
(\037)Tj
-0.003 1.025 Td
(\036)Tj
ET
Q
/CS0 cs 1 scn
254.781 228.75 6.556 0.268 re
f
0 0 0 0.21 k
/GS1 gs
236.479 289.791 41.41 -13.206 re
277.889 289.791 35.192 -13.206 re
313.081 289.791 47.402 -13.206 re
f
0.517 w
/GS2 gs
q 1 0 0 1 236.2205 289.7909 cm
0 0 m
41.669 0 l
S
Q
q 1 0 0 1 236.4789 276.8431 cm
0 0 m
0 12.689 l
S
Q
q 1 0 0 1 277.8891 289.7909 cm
0 0 m
35.192 0 l
S
Q
q 1 0 0 1 277.8891 276.8431 cm
0 0 m
0 12.689 l
S
Q
q 1 0 0 1 313.0812 289.7909 cm
0 0 m
47.66 0 l
S
Q
q 1 0 0 1 313.0812 276.8431 cm
0 0 m
0 12.689 l
S
Q
q 1 0 0 1 360.483 276.8431 cm
0 0 m
0 12.689 l
S
Q
q 1 0 0 1 236.2205 276.5847 cm
0 0 m
41.669 0 l
S
Q
q 1 0 0 1 236.4789 258.0776 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 277.8891 276.5847 cm
0 0 m
35.192 0 l
S
Q
q 1 0 0 1 277.8891 258.0776 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 313.0812 276.5847 cm
0 0 m
47.66 0 l
S
Q
q 1 0 0 1 313.0812 258.0776 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 360.483 258.0776 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 236.2205 257.8193 cm
0 0 m
41.669 0 l
S
Q
q 1 0 0 1 236.4789 239.3122 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 277.8891 257.8193 cm
0 0 m
35.192 0 l
S
Q
q 1 0 0 1 277.8891 239.3122 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 313.0812 257.8193 cm
0 0 m
47.66 0 l
S
Q
q 1 0 0 1 313.0812 239.3122 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 360.483 239.3122 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 236.2205 239.0538 cm
0 0 m
41.669 0 l
S
Q
q 1 0 0 1 236.4789 220.5468 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 277.8891 239.0538 cm
0 0 m
35.192 0 l
S
Q
q 1 0 0 1 277.8891 220.5468 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 313.0812 239.0538 cm
0 0 m
47.66 0 l
S
Q
q 1 0 0 1 313.0812 220.5468 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 360.483 220.5468 cm
0 0 m
0 18.249 l
S
Q
q 1 0 0 1 236.2205 220.2884 cm
0 0 m
41.669 0 l
S
Q
q 1 0 0 1 277.8891 220.2884 cm
0 0 m
35.192 0 l
S
Q
q 1 0 0 1 313.0812 220.2884 cm
0 0 m
47.66 0 l
S
Q
BT
0 0 0 1 k
/GS0 gs
/T1_14 1 Tf
8.268 0 0 8.268 240.8755 280.1865 Tm
(Fraction)Tj
-0.013 Tc 0.013 Tw 4.727 0 Td
(Decimal)Tj
-0.017 Tc 0.017 Tw 4.256 0 Td
[(P)0.5 (e)0.6 (r)0.5 (c)0.6 (e)0.5 (n)0.5 (t)0.6 (a)0.5 (g)0.5 (e)]TJ
/T1_15 1 Tf
0 Tc 0 Tw -3.351 -1.933 Td
(0.09)Tj
/T1_1 1 Tf
5.19 -0.004 Td
(9%)Tj
-4.912 -2.27 Td
(0.8)Tj
/T1_15 1 Tf
4.689 0.004 Td
(80%)Tj
/T1_1 1 Tf
-5.245 -2.273 Td
(0.375)Tj
4.773 0 Td
(37.5%)Tj
ET
/PlacedGraphic BMC
EMC
q
249.557 259.504 17.275 15.25 re
W n
BT
/CS0 cs 1 scn
8 0 0 8 251.3071 260.5031 Tm
(10)Tj
(0)Tj
0.569 0.994 Td
(9)Tj
ET
Q
/CS0 cs 1 scn
250.432 266.854 15.524 0.325 re
f
/PlacedGraphic BMC
EMC
q
253.755 240.3 9.138 16.07 re
W n
BT
8.5 0 0 8.5 255.8271 241.3628 Tm
(5)Tj
0.003 0.978 Td
(4)Tj
ET
Q
254.685 247.977 7.278 0.345 re
f
BT
0 0 0 1 k
/T1_0 1 Tf
9.8 0 0 9.8 360.7413 214.6442 Tm
( )Tj
9.8 0 0 9.8 236.2205 207.6442 Tm
[(W)37 (orking:)]TJ
9.8 0 0 9.8 275.0677 207.6442 Tm
( )Tj
-3.964 -1.633 Td
( )Tj
/Span<>> BDC
9.8 0 0 9.8 236.2205 189.6442 Tm
( )Tj
EMC
1.446 -0.616 Td
(8 3 0 0 0 )Tj
2.81 1.302 Td
(3 7 5)Tj
6 0 0 6 286.9584 187.5622 Tm
(6)Tj
2.295 0 Td
(4)Tj
ET
1 w 4 M
q 1 0 0 1 258.7918 193.7873 cm
0 0 m
57.748 0 l
S
Q
q
0 0 595.276 841.89 re
W n
q 1 0 0 1 259.2427 193.962 cm
0 0 m
9 -7.462 0 -13.541 v
S
Q
Q
BT
6 0 0 6 273.9644 187.8676 Tm
(3)Tj
/T1_2 1 Tf
/Span<>> BDC
9.8 0 0 9.8 216.378 169.9749 Tm
( )Tj
EMC
/T1_0 1 Tf
1.168 Tw /Span<>> BDC
2.025 -0.408 Td
( )Tj
EMC
(so )Tj
ET
/PlacedGraphic BMC
EMC
BT
/CS0 cs 1 scn
0 Tw 9.7 0 0 9.7 263.4101 160.5518 Tm
(8)Tj
ET
q
262.379 156.883 7.457 21.582 re
W n
BT
9.7 0 0 9.7 263.7127 170.1005 Tm
(3)Tj
ET
Q
263.44 168.099 5.335 0.576 re
f
BT
0 0 0 1 k
9.8 0 0 9.8 269.8364 165.9749 Tm
( = 0.375)Tj
/Span<>> BDC
-5.455 -1.472 Td
( )Tj
EMC
/T1_2 1 Tf
2.025 0 Td
[(\(2 marks for completely corr)-5 (ect )]TJ
0 -1.2 Td
[(t)-10 (able.)50 ( Other)-30 (wise 1 mark for an)30 (y )]TJ
0 -1.2 Td
[(thr)-5 (ee to \036v)15 (e v)9.9 (alues corr)-5 (ect.\))]TJ
/T1_0 1 Tf
-2.025 -1.676 Td
(18\))Tj
/Span<>> BDC
( )Tj
EMC
2.025 0 Td
[(Angles on a str)12 (aight line )]TJ
9.8 0 0 9.8 340.1393 111.5963 Tm
( )Tj
9.8 0 0 9.8 236.2205 99.8362 Tm
(add up to 180\260.)Tj
9.8 0 0 9.8 302.2527 99.8362 Tm
( )Tj
9.8 0 0 9.8 236.2205 88.0763 Tm
(So a = 180\260 \226 107\260 = )Tj
/T1_1 1 Tf
(73\260)Tj
/T1_0 1 Tf
/Span<>> BDC
-2.025 -1.778 Td
( )Tj
EMC
2.025 0 Td
[(A par)12 (allelogr)12 (am has tw)12 (o pairs of )]TJ
0 -1.2 Td
(equal angles and the angles in a )Tj
0 -1.2 Td
[(quadrilater)12 (al add up to 360\260. )]TJ
9.8 0 0 9.8 363.679 47.127 Tm
( )Tj
9.8 0 0 9.8 412.9134 743.9978 Tm
(So: 112\260 + 112\260 + b + b = 360\260)Tj
9.8 0 0 9.8 548.6818 743.9978 Tm
( )Tj
9.8 0 0 9.8 412.9134 732.2378 Tm
(224\260 + 2b = 360\260)Tj
9.8 0 0 9.8 487.1185 732.2378 Tm
( )Tj
9.8 0 0 9.8 412.9134 720.4778 Tm
(2b = 360\260 \226 224\260 = 136\260 )Tj
9.8 0 0 9.8 520.458 720.4778 Tm
( )Tj
9.8 0 0 9.8 412.9134 708.7178 Tm
(So b = 136\260 \367 2 = )Tj
/T1_1 1 Tf
(68\260)Tj
/Span<>> BDC
-2.025 -1.778 Td
( )Tj
EMC
/T1_0 1 Tf
2.025 0 Td
[(T)45 (he angle on a str)12 (aight line )]TJ
9.8 0 0 9.8 529.4645 691.2885 Tm
( )Tj
9.8 0 0 9.8 412.9134 679.5284 Tm
(with c is 112\260 as diagonally )Tj
0 -1.2 Td
(opposite angles in a )Tj
0 -1.2 Td
[(par)12 (allelogr)12 (am are equal. )]TJ
9.8 0 0 9.8 521.0463 656.0085 Tm
( )Tj
9.8 0 0 9.8 412.9134 644.2485 Tm
(So)Tj
/T1_1 1 Tf
( )Tj
/T1_0 1 Tf
(c = 180\260 \226 112\260 = )Tj
/T1_1 1 Tf
(68\260)Tj
/T1_0 1 Tf
9.8 0 0 9.8 519.3604 644.2485 Tm
( )Tj
/T1_2 1 Tf
9.8 0 0 9.8 412.9134 632.4885 Tm
[(\(2 marks for all thr)-5 (ee angles )]TJ
0 -1.2 Td
[(corr)-5 (ect.)50 ( Other)-29.9 (wise 1 mark for )]TJ
0 -1.2 Td
[(one or t)-10 (wo angles corr)-4.9 (ect.\))]TJ
/T1_0 1 Tf
-2.025 -1.778 Td
(19\))Tj
/T1_1 1 Tf
/Span<>> BDC
( )Tj
EMC
/T1_0 1 Tf
2.025 0 Td
[(T)100 (otal number of snails )]TJ
9.8 0 0 9.8 508.3455 591.5392 Tm
( )Tj
9.8 0 0 9.8 412.9134 579.7792 Tm
(= 6 + 9 + 11 + 10 )Tj
9.8 0 0 9.8 491.156 579.7792 Tm
( )Tj
/Span<>> BDC
9.8 0 0 9.8 412.9134 568.0192 Tm
[( )-1168.3 ( )]TJ
EMC
2.603 0 Td
( + 7 + 8 + 9 + 4 = 64)Tj
9.8 0 0 9.8 533.5041 568.0192 Tm
( )Tj
9.8 0 0 9.8 412.9134 556.2592 Tm
[(T)45 (here are 8 numbers, so )]TJ
9.8 0 0 9.8 517.0378 556.2592 Tm
( )Tj
9.8 0 0 9.8 412.9134 544.4991 Tm
(mean = 64 \367 8 = )Tj
/T1_1 1 Tf
(8 )Tj
/T1_2 1 Tf
(\(1 mark\))Tj
/T1_0 1 Tf
-2.025 -1.778 Td
(20\))Tj
/Span<>> BDC
( )Tj
EMC
2.025 0 Td
(900 g = 0.9 kg.)Tj
9.8 0 0 9.8 477.1424 527.0699 Tm
( )Tj
9.8 0 0 9.8 412.9134 515.3099 Tm
[(T)45 (he number of pac)18 (ks )]TJ
9.8 0 0 9.8 503.7983 515.3099 Tm
( )Tj
9.8 0 0 9.8 412.9134 503.5499 Tm
(produced is 252 \367 0.9:)Tj
9.8 0 0 9.8 509.2862 503.5499 Tm
( )Tj
9.8 0 0 9.8 412.9134 491.7899 Tm
(Calculate 252 \367 9 \037rst.)Tj
9.8 0 0 9.8 509.2763 491.7899 Tm
( )Tj
9.8 0 0 9.8 412.9134 465.5683 Tm
(9 2 5 2 )Tj
2.825 1.302 Td
(2 8)Tj
ET
q 1 0 0 1 419.8943 475.744 cm
0 0 m
43.38 -0.1 l
S
Q
q
0 0 595.276 841.89 re
W n
q 1 0 0 1 419.7781 475.9188 cm
0 0 m
9 -7.462 0 -13.541 v
S
Q
Q
BT
6 0 0 6 450.378 469.8244 Tm
(7)Tj
/Span<>> BDC
9.8 0 0 9.8 393.0709 450.9313 Tm
( )Tj
EMC
2.025 0 Td
(9 is 10 times larger than 0.9, )Tj
9.8 0 0 9.8 536.0106 450.9313 Tm
( )Tj
9.8 0 0 9.8 412.9134 439.1713 Tm
[(so multiply b)18 (y 10.)]TJ
9.8 0 0 9.8 489.0004 439.1713 Tm
( )Tj
9.8 0 0 9.8 412.9134 427.4113 Tm
(28 \327 10 = )Tj
/T1_1 1 Tf
(280 )Tj
/T1_2 1 Tf
(\(1 mark\))Tj
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