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Graphical Inequalities 1 – answers

January 15, 2017 Comments off
Categories: answers

Compound Interest – answers

January 2, 2017 Comments off

Workout

Question 1:     £4410

Question 2:    26620

Question 3:    £9025

Question 4:     £2105.74   or  £2105.75

Question 5:     149.609 litres

Question 6:     419.4 cm    or   4.194 m

Question 7:     £100.40   or   £100.41

Question 8:     £124229.69

Question 9:     8698

Question 10:    £4533.42

Question 11:     7 years

Question 12:     2039

Question 13:      12 years

Question 14:     25 years

Question 15:      44.2%

Question 16:     31.85%

Apply

Question 1:    No, she will receive £20.50

Question 2:    £11910.68

Question 3:    (a)   3.6m        (b)   3.24m       (c)   14 bounces

Question 4:    15 years

Question 5:    2028

Question 6:    4%

Question 7:    1%

Categories: answers

Expressing as a Percentage – answers

January 2, 2017 Comments off

Workout

Question 1

(a)   50%                         (b)   25%

(c)   70%                         (d)   54%

(e)  15%                           (f)  80%

(g)  82%                           (h)  13%

Question 2

(a)   75%                          (b)  25%

(c)   55%                           (d)  20%

(e)  70%                           (f)  45%

(g)  20%                           (h)  30%

Question 3

(a)   37.5%                       (b)  6.5%

(c)    17.5%                       (d)  31.25%

(e)  59.375%                     (f)  66.66…%

Question 4

(a)   44.4%                        (b)  83.3%

(c)   83.7%                         (d)  20.8%

(e)   15.8%

Apply

Question 1:     20%

Question 2:   (a)  40%          (b)  400

Question 3:   (a)  65%           (b)  35%

Question 4:   Yes, he sold 87.5%

Question 5:   15.8333..%

Question 6:   French, maths, art and drama

Question 7:   68%

Question 8:   No, on Thursday less than 95% of the students attended school.

Question 9:   2.96%

Categories: answers

Reflections – answers

January 1, 2017 Comments off
Categories: answers

Place Value – answers

December 30, 2016 Comments off

Workout

Question 1:

(a)  40                (b)  900              (c)  3           (d)   3000          (e)   900

(f)  40000         (g)  9000           (h)  100      (i) 200000       (j)  40000

(k)  2000000   (l)  70000000  (m) 0.5       (n)  0.07           (o)  0.005

(p)  0.08

Question 2:

(a)  62          (b)  294        (c)   103       (d)   1021       (e)    5454       (f)   181

Question 3:

(a)  five thousand, six hundred and ten

(b)  twenty-nine thousand and fifty-two

(c)  three hundred and twelve thousand

(d)  one million, eight hundred thousand

(e)  five million, one hundred and thirty-eight thousand

(f)  six million, two hundred and forty-three thousand, eight hundred and twenty-one.

Question 4:

(a)  4068           (b)   5020         (c)  12902           (d)  331607

(e)  6000000     (f)  19002007

Question 5:

(a)   2, 5, 7, 9, 12

(b)   6, 9, 12, 13, 14, 20

(c)  10, 20, 30, 70, 80, 90

(d)  21, 28, 38, 45, 73, 90

(e)  70, 130, 190, 210, 300

(f)  65, 66, 506, 555, 566, 605, 655

(g)  385, 400, 888, 2000, 2800, 8100

Question 6:

(a)   3 > 1               (b)   2 < 7             (c)   8 > 5

(d)   28 > 21          (e)   110 < 113      (f)  102 > 99

(g)  -3 < 2              (h)  4 > -1           (i)  -12 < -9

Apply

Question 1:   Doncastle

Question 2:  Olly

Question 3:   2, 9.5, 15, 17, 18, 21, 22

Question 4:   7000

Question 5:    123, 132, 213, 231, 321, 312

Question 6:   3.42 for example

Question 7:

(a)  85             (b)     8543         (c)    3485           (d)   3854

Question 8:

(a)   39 + 67  or  37 + 69

(b)  106

(c)   93 + 76  or  96 + 73

(d)  169

Categories: answers

Multipliers – answers

December 30, 2016 Comments off

Workout

Question 1:

(a)   0.5                  (b)   0.8                  (c)  0.1                (d)   0.25

(e)  0.45                (f)   0.95                 (g)   0.05            (h)  0.03

(i)   0.07               (j)  0.36                   (k)  0.71             (l)  0.44

(m)  0                   (n)  1.75                   (o)  1.04             (p)  1.6

(q)  1.075             (r)  1.012                  (s)  1.008           (t)  1.0001

Question 2:

(a)  18cm                  (b)   2.1km                (c)  $675

(d)  33430.50           (e)  1.56cm               (f)  8.48km

Question 3:

(a)  1.04               (b)  1.15                  (c)  1.3                  (d)  1.62

(e)  1.29               (f)  1.7                   (g)  1.01                (h)  2

(i)  2.5                   (j)  2.08                (k)  3.2                 (l)  6.84

(m)  1.015           (n)  1.028              (o)  1.003             (p)  1.0009

Question 4:

(a)   102ml          (b)  £1015.2             (c)  170.17g

(d)  438.615        (e)  2656.5               (f)  9.0045kg

Question 5:

(a)  0.98             (b)  0.92                 (c)  0.88                  (d)  0.85

(e)  0.7               (f)  0.4                    (g)  0.28                  (h)  0.77

(i)  0                    (j)  0.984               (k)  0.971                (l)  0.885

(m)  0.994        (n)  0.991               (o)  0.9962             (p)  0.9992

Apply

Question 1:   235 students

Question 2:   £855

Question 3:   2162

Question 4:  235200

Question 5:  £49.80

Question 6:   £21060

Question 7:   41.16kg

Question 8:  1% decrease

Question 9:  It is actually a 21% increase.

Question 10:  82%

Categories: answers

Quadratic Inequalities – Answers

December 29, 2016 Comments off

Workout

Question 1:

(a)  1 < x < 4

(b)  -1 < x < 2

(c)  -7 ≤ x  ≤ -3

(d)  -4 ≤ x  ≤ 5

(e)  x < 0  or  x > 9

(f)  x < -6  or  x > 5

(g)  x ≤ -10  or  x ≥ -1

(h)  x ≤ -7  or  x ≥ 7

(i)    -8 < x < -2

(j)    x ≤ -7  or  x ≥ 4

(k)   -1 ≤ x  ≤ 5

(l)    x < 12  or  x > 11

Question 2

(a)  x < -3  or  x > -2

(b)  -5 < x < -2

(c)   -1 ≤ x  ≤ 5

(d)  x <-6   or  x >4

(e)    x ≤ 2  or  x ≥ 4

(f)    -4 < x < 1

(g)  x < -7  or  x > 8

(h)   – 6 < x < -3

(i)      2 ≤ x  ≤ 11

(j)    – 4 < x < 8

(k)   x ≤ -8  or  x ≥ 8

(l)   x < 6  or  x > 8

Question 3:

(a)   -3 < x < 5

(b)   x < -4   or  x > -1

(c)   -6 < x < 6

(d)  x < -11  or  x > 11

(e)    -4 ≤ x  ≤ 3

(f)      4 < x < 10

(g)     -18 < x < 2

(h)     x ≤ -4  or  x ≥ 6

Question 4:

(a)     x < 3   or  x > 5

(b)      -2 ≤ x  ≤ 5

(c)       x ≤ -5  or  x ≥ -1

(d)       2 < x < 16

(e)       x < -4  or  x > 11

(f)        x < -1   or  x > 0

Question 5:

(a)     0.5 < x < 4

(b)     x < -4   or  x > -0.2

(c)      -3.5 ≤ x  ≤ 8

(d)       -1 ≤ x  ≤ 0.66666…

(e)        x < 0.75   or  x > 4.5

(f)        x ≤ -0.6666…  or  x ≥ 1.666…

Question 6:

(a)        x < -1   or    x > -0.4

(b)        – 3 < x < 0.3333…

(c)        x < 0.5   or    x > 4

(d)        x ≤ -0.25  or  x ≥ 1

(e)        1 < x < 1.1666666..

(f)         -2 ≤ x  ≤ 1.5

(g)      x < 0.75   or  x > 2

(h)     x ≤ 0.75  or  x ≥ 6

(i)     -1.666… < x < 1.4

 

Apply

Question 1:

Mistake 1 – Tia really should sketch a graph (or use a table/number line depending on your own preference)

Mistake 2 – The answer should be  x < -3   or  x > 11.  A graph would help Tia with that  🙂

Question 2:

(a)   x = -3 + √6    or   x = -3 – √6

(b)  -3 – √6 < x < -3 + √6

Question 3:    x² + 7x + 10 < 0

Question 4:    x² – 3x – 18 > 0

Question 5:     1.5 < x < 10

Question 6:     (2x + 1)(2x – 3) > 0

4x² – 4x – 3 > 0

Question 7:     50 < x < 110

 

Categories: answers