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Limits of Accuracy 1 – answers

June 28, 2017 Comments off

Workout

Question 1:

(a)   LB: 3.5g,  UB: 4.5g

(b)   LB: 11.5cm, UB: 12.5cm

(c)   LB:  74.5miles, UB: 75.5miles

(d)  LB:  45kg,  UB:  55kg

(e)  LB:  125 seconds,  UB:  135 seconds

(f)  LB:  222.5km,  UB:  227.5km

(g)  LB:  350ml,  UB:  450ml

(h)  LB: 1895 hours,  UB:  1905 hours

(i)   LB:  2650mm,  UB:  2750mm

(j)   LB:  4950km,   UB:  5050km

(k)  LB:  27995kg,   UB:  28005kg

(l)  LB:  25000km/h,   UB:  35000km/h

Question 2:

(a)   LB:  75,   UB:  84

(b)   LB:  £9.50,   UB:  £10.49

(c)   LB:  450 chairs,  UB:  549

(d)   LB:  13500,  UB:  14499

(e)   LB:  £28950,   UB:  £29050

Question 3:

(a)   LB:  3.75cm,   UB:  3.85cm

(b)   LB:  15.15,   UB:  15.25

(c)   LB:  6.35g,   UB:  6.45g

(d)   LB:  515.85kg,   UB:  515.95kg

(e)   LB:   0.065 seconds,   UB:  0.075 seconds

(f)   LB:  5.255mm,   UB:  5.265mm

(g)   LB:  24.0905kg,    UB:  24.0915kg

(h)  LB:  7.95cm,    UB:  8.05cm

Question 4:

(a)  LB:  3.5 miles,   UB:  4.5 miles

(b)   LB:  25cm,   UB:  35cm

(c)  LB:  850ml,   UB:  950ml

(d)  LB:  0.15m,  UB:  0.25m

(e)   LB:  13.5 hours,  UB:  14.5 hours

(f)   LB:  275g,   UB:  285g

(g)   LB:  41500km,  UB:  42500km

(h)  LB: 747.5 gallons,  UB:  748.5 gallons

(i)   LB:  395m,   UB: 405m

(j)   LB:  7950kg,  UB:  8050kg

(k)  LB:  289950km/h,   UB:  290050km/h

(l)   LB:  0.0235,   UB:  0.0245

(m)  LB:  15.05,  UB:  15.15km

(n)   LB:  95g,  UB: 150g

Apply:

Question 1:   No yet! As the space may be as little as 205cm, he really needs to go back and measure again… a bit more accurately!

Question 2:  349

Question 3:  No, to the nearest 10, the LB would be 395m and UB 405m

Question 4:  (a)  £2.94    (b)  £3.68

Question 5:  I agree with the 12%… 9.5 and 15.

Option 1 – 5 is already to 1 significant figure

Option 2 – 10.5 isn’t the upper bound, 11 rounds to 10 to 1st, so do 14 etc.

Option 3 – I agree!

Option 4 – 7.5 rounds to 8 to 1 sf.

 

Categories: answers

Graphical Inequalities 2

June 26, 2017 Comments off

Workout Answers

Question 1(a)

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Question 1(b)

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Question 1(c)

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Question 1(d)

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Question 1(e)

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Question 1(f)

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Question 1(g)

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Question 1(h)

Snip20170626_24

Question 1(i)

Snip20170626_25

Question 2(a)

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Question 2(b)

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Question 2(c)

Snip20170626_28

Question 2(d)

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Question 2(e)

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Question 2(f)

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Question 2(g)

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Question 2(h)

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Question 2(i)

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Question 2(j)

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Question 3

(a)  y < x + 1

(b)  y ≥ x − 1

(c)   y > 2x

(d)   y ≤ 2x + 4

(e)  y < −3x + 6

(f)   y > 4x + 1

Question 4:

(a)

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(b)

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(c)

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(d)

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(e)

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(f)

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Question 5:

(a)   x > 2,   y ≤ 4,   y ≥ x − 1

(b)   y ≥ −1,   y ≤ −2x + 6,   y < 4x

(c)   y < 6,  x ≤ 2,  y ≥ −6x + 6

(d)   y < 8,  y > 4x − 2,   y < 10x + 10

(e)   y ≤ 4,  x ≤ 1,  y > − x + 2,  y ≤ 2x + 5

(f)   y ≥ x + 2,   y < 4.5x + 2.5,   y ≤ −0.5x + 5

Apply

Question 1:    Taylor has selected the wrong region

Question 2:    The line should be dashed

Question 3:     Region A

Question 4:

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Question 5:   (a)   yes    (b)   no

(c)   £9800 with 20 economy and 40 first class

Question 6:

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Categories: answers

Fractions of Amounts – answers

June 17, 2017 Comments off

Workout

Question 1:

(a)   5           (b)   6           (c)  4           (d)  6

(e)   3           (f)   16          (g)  10        (h)  7

(i)   4.5         (j)  13           (k)  6          (l)  12

Question 2:

(a)   10         (b)  14          (c)  12         (d)  24

(e)   27         (f)   8            (g)  33         (h)  36

(i)  35           (j)   39          (k)  26         (l)  32

Question 3:

(a)  £7         (b)  75kg       (c)  18cm      (d)  28 seconds

(e)  36 miles    (f)  £125     (g)  100ml    (h)  279 students

(i)  3 hours    (j)  800m     (k)  6 days     (l)   2mm

Question 4:

(a)  9.6miles    (b)  3.6kg    (c)  2.666… litres    (d)   £4.20

(e)  6.25cm      (f)  986.2km    (g)  £42.75     (h)  46.888…km

Question 5:

(a)  1/3 of 21       (b)  2/3 of 9         (c)  2/5 of 65

(d)  3/4 of 60cm    (e)   3/8 of a day

(f)   2/3 of 453        (g)  2/7 of 420

Apply

Question 1:   15

Question 2:    3

Question 3:   16 good apples

Question 4:    (a)  9 hours      (b)   15 hours     (c)   5/8

Question 5:    £2400

Question 6:    £600

Question 7:   11893

Question 8:    194 is not divisible by 4 and there cannot be 48.5 students

Question 9:   4/15

Question 10:   Smaller than the original (100g –> 120g –> 96g)

Question 11:   £1,816,448

Categories: answers

Perimeter answers

June 16, 2017 Comments off

Workout

Question 1

(a)   16cm      (b)  24cm     (c)  28cm

(d)  24cm       (e)  34cm     (f)   46cm

Question 2

(a)  52cm      (b)  48cm      (c)  110mm

(d)  6.6m      (e)  360m       (f)  192mm

Question 3

(a)  60cm      (b)  136cm      (c)  3.6m

Question 4

(a)  24cm      (b)   13.5cm      (c)  213m      (d)  0.78cm

Question 5

(a)  58cm     (b)  24cm     (c)   26.5cm

Question 6

(a)  42cm     (b)  85cm     (c)  24.8cm

Question 7

(a)  42cm     (b)  14cm      (c)  54m

(d)   44cm    (e)  74cm

Question 8

(a)  5cm      (b)  26cm      (c)  5cm

(d)  7cm      (e)  12cm      (f)  22cm

(g)  13.5cm    (h)  40cm     (i)  37cm

Apply

Question 1:   The answer depends on the size of printing.

Question 2:   length 8cm, width 1cm. Other answers available.

Question 3:   12cm

Question 4:   17.8m

Question 5:   1120m (1.12km)

Question 6:    £261

Question 7:    width = 75cm  and length = 115cm

Question 8:    48cm

Question 9:    24cm

Question 10:   3cm by 8cm (A = 24 and P = 22)    2cm by 12cm (A = 24 and P = 28)

Question 11:   (a)  The area of A is less than B    (b)  The perimeters are the same

Question 12:    90cm

Question 13:    74cm

Question 14:     4.5cm

Categories: answers

Ratio answers

June 15, 2017 Comments off

Workout

Question 1:

(a)    £8  £12           (b)   5cm    10cm            (c)    £6    £18           (d)   20 sweets  15 sweets

(e)   33g   22g         (f)   9kg   45kg                (g)   £60   £150         (h)   50 hours   70 hours

(i)    105m   245m    (j)  72°  288°

Question 2:

(a)  £39   £65        (b)  138 miles  23 miles    (c)  70ml   245ml     (d)   $200  $450

(e)  £352  £448     (f)  90kg  1110kg        (g)  €442  €68          (h)  124mm  992mm

Question 3:

(a)  £5  £15  £20     (b)  14ml  21ml  28ml     (c)   16p  32p  40p

(d)  40°  40°  100°    (e)  $11  $22  $132      (f)  120cm  160cm  80cm  360cm

Question 4:

(a)  400m 600m  (or 0.4km 0.6km)          (b)  180cm  20cm  (or 1.8m 0.2m)

(c)  8 hours 16 hours (or 1/3 day 2/3day)   (d)  96 seconds 144 seconds (or 1.6 min 2.4 min)

(e)  £1.20  £4.80                                            (f)  €3.50  €8.50

Question 5:

(a)  2.5ml  7.5ml          (b)  6.8g    10.2g         (c)  129.375ml   215.625ml

(d)  £81.25  £178.75     (e)  12.888…°  45.111…°   (f)  97.777… s  244.444…s  537.777… s

Apply

Question 1:  12 red sweets

Question 2:  Liam £15 and Nathan £45

Question 3:  45 children

Question 4:  (a) 50kg   (b) 100kg  (c) 150kg

Question 5: (a) 30° 30°  120°    (b) Isosceles

Question 6:  (a)  64 blue beads   (b) 1/5       (c)  80%

Question 7:  (a) 28 is not divisible by 5        (b)  any multiple of 5 (perhaps 35 or less)

Question 8:  £19800

Question 9:   18 boys study Spanish

Question 10:  262 votes

Question 11:  £2.64

Question 12:  96 chocolate, 24 strawberry, 32 vanilla

Question 13:  147 black cars

Question 14:  250 stayed in caravans

Categories: answers

Iteration Worksheet

June 13, 2017 Comments off

Coming soon

Categories: Videos

Iteration Video

June 13, 2017 Comments off

Coming soon

Categories: Videos