Corbettmaths

Workout

Question 1: (a)

(b)   0.25

(c)  0.25

(d)  0.75

Question 2:  (a)

(b)  0.12

(c)  0.46

(d)  0.58

Question 3: (a)

(b)   0.56

(c)  0.14

(d)  0.94

Question 4: (a)

(b)   6/15  (2/5)

(c)   7/15

Question 5:  (a)

(b)   25/81

(c)   40/81

(d)   16/81

Question 6: (a)

(b)  0.81

Question 7(a) :

(b)  36 days

Apply

Question 1(a)

(b)  0.71

Question 2:  0.51

Question 3:   (a)   x = 0.125     (b)   0.765625

Question 4:   (a)

(b)   0.02

Question 5: (a)

 

(b)   23/24

Question 6(a):

(b)   42/90   (7/15)

(c)   48/90   (8/15)

Question 7(a)

(b)   11/40  (0.275)

Question 8(a)

(b)  x = 9

(c)  5/12

 

Workout

Question 1:

(a)  245.04cm²

(b)  653.45cm²

(c)   1011.59cm²

(d)   14.7cm²  (14.70cm²)

(e)   32.99m²

(f)   70.37cm²

Question 2:

(a)  28𝛑 cm²

(b)  110𝛑 m²

(c)  72𝛑 cm²

Question 3:

(a)   20cm

(b)  17.52cm

(c)   1.3cm (1.30cm)

Question 4

(a)  11cm

(b)  35cm

(c)   3cm

Question 5:

(a)   1cm

(b)   2cm

(c)   20cm

Apply

Question 1:   7.397cm²

Question 2:   322.02cm²

Question 3:    x = 9cm

Question 4:   813.39cm²

Question 5:   450𝛑 cm²  or   1413.72 cm²

Question 6:   3114.336 cm²

Workout

Question 1

(a)  45cm²       (b)  56cm²         (c)   24cm²         (d)  45cm²

(e)   220cm²    (f)  250cm²        (g)  56cm²         (h)  1000cm²

(i)   24m²        (j)  216 sq miles    (k)  165mm²   (l)  585cm²

Question 2

(a)  49cm²       (b)  400cm²         (c)   81mm²      (d)  196cm²

Question 3

(a)   22cm²       (b)  27cm²         (c)  24.8cm²       (d)  18cm²

(e)  51.3cm²     (f)  38.86cm²     (g)  0.27m²       (h)  0.78km²

Question 4

(a)  0.9m²  (or 9000cm²)          (b)   1.4km²  (or  1400000m²)

(c)  7m²  (or  70000cm²)          (d)  1.08cm²   (or  108mm²)

(e)  2.8m²  (or  28000cm²)       (f)  0.4m²   (or  4000cm²)

(g)   9000cm² (or  0.9m²  or   900000mm²)

Question 5

(a)  8cm         (b)  5cm          (c)  2mm

(d)  5cm         (e)  60cm        (f)  8km

(g)  12cm       (h)  16cm        (i)  4.5m

(j)   37cm       (k)  7cm          (l)   40m

Apply

Question 1:   21000m²

Question 2:    108cm²

Question 3:  (L = 30, W = 1) ( L = 15cm, W=2cm)      (L=6cm, W=5cm)   (L=60cm, W=0.5cm) etc

Question 4:   20cm

Question 5:  Length = 20cm   and   Width = 4cm

Question 6:   Length = 50cm   and   Width = 2cm

Question 7:   80 minutes

Question 8:   7700m²  (as the width is 70m)

Question 9:   £1960

Question 10:  200 tiles

Question 11:   56 tiles

Question 12:  £288

Apply

Question 1(a)  −3°C     (b)  2°C

Question 2(a)   London     (b)  Belfast    (c)  9°C     (d)  −13°C

Question 3:

(a)  Coachella,  Jericho,  Baku,  Lake Eyre

(b)  Jericho

(c)  Bern

(d)  45 metres

Question 4:  −1°C

Question 5:

(a) −3°C     (b)  Norwich    (c)  Bristol    (d)  Glasgow

Question 6:  −£27

Question 7:  −£65

Question 8:

(a)   Nitrogen    (b)  32°C     (c)  1624°C    (d)  Bromine,  Caesium,  Phosphorus,  Silicon

Question 9:   34 points

Question 10:  (a)  13 points     (b)  Yes 1 correct, 5 incorrect and 4 left blank

Question 11:

(a)  60%      (b)   10°C      (c)  −4°C    (d)  −2°C

 

Workout

Question 1:

(a)   40      (b)  20       (c)  80       (d)  70     (e)  100     (f)  100    (g)  500

(h)  300     (i)  700     (j)  900      (k)  400    (l)  700     (m)  100    (n)  1000

(o)  4000    (p) 5000     (q)  4000    (r)  3000   (s)  6000   (t)  8000    (u)  6000

Question 2:

(a)  10000    (b)  50000    (c)  70000    (d)  80000    (e)  100000   (f)  300000

(g)  900000   (h)  200000   (i)  500000   (j)  10000000

Question 3:

(a)  3     (b)  3      (c)  6     (d)  50     (e)  60     (f)  80    (g)  90

(h)  100    (i)  8     (j)  10    (k)  70    (l)  6000   (m)  50    (n)  100

Question 4:

(a)   0.5    (b)  0.9    (c)  0.2    (d)  0.05    (e)  0.09    (f)  0.007    (g)  0.004

(h)  0.06   (i)  0.9     (j)  0.0006    (k)  0.001   (l)  0.00003

Question 5:

(a)  840    (b)  670    (c)  130   (d)  2800    (e)  9300    (f)  1400   (g)  300

(h)  500    (i)  1000    (k)  3800   (k)  49000   (l)  14    (m)  58     (n)  50

(o)  1.4     (p)  43       (q)  0.32     (r)  22000    (s)  190000   (t)  0.049  (u)  5 (5.0)

(v)  1000000      3 (3.0)   (x)  0.06 (0.0060)

Question 6:

(a)  9430    (b)  1890    (c)  2500    (d)  3.23    (e)  37800    (f)  57100   (g)  7.01

(h)  51.6     (i)   0.903    (j)  2.79     (k)  0.0891   (l)  0.00781   (m)  9910

(n)  0.601

Apply

Question 1:  40%

Question 2:  33000

Question 3:

(a)  9000000

(b)   7000

Question 4:   Tom has rounded the number to 2 decimal places, not significant figures.

Question 5:

(a)  25500

(b)  26499

Question 6:   75000000

Workout

Question 1:

(a)   6.388cm       (b)   6.651cm       (c)  60.484mm

Question 2:

(a)   8.385cm       (b)   3.381cm        (c)   3.39m

(d)  11.431cm      (e)  24.458cm       (f)   29.471cm

Question 3:

(a)   37.136°          (b)   26.756°        (c)  40.505°

Question 4:

(a)   64°                  (b)   40°               (c)   8.993°

Question 5:

(a)   8.24cm            (b)  19.076°           (c)  5.11mm

(d)   39.732°            (e)   156.869°       (f)  85.83cm

Question 6:

(a)   68.7° or 111.3°       (b)  78.1°  or  101.9°      (c)  48.6°  or  131.4°

Apply

Question 1:   (a)  BD = 22.227cm     (b)  103°     (c)  33.693cm

Question 2:  17.116cm

Question 3:   48.938km

Question 4:   (a)  216.1m     (b)  772.3m

Question 5:   26.558m

Question 6:

Tri 1: DE = 6.2  EF = 7.9 DF = 11.62 Angle DFE = 30° Angle DEF = 110.4° Angle EDF = 39.6°

Tri 2: DE = 6.2  EF = 7.9 DF = 2.06cm Angle DFE = 30° Angle DEF = 9.6° Angle EDF =  140.4° 

Question 7:  73.4m

Question 8:   3.5km/h

Question 9:   24.7244cm

Question 10:   Proof of the Sine Rule