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SOUTH TIPPERARY VEC
                  FETAC




         ASSESSMENT NO. 1
              NUMBER


           MATHEMATICS
               LEVEL 3
               3N0929


           AUTUMN 2011
NAME_______________________________


                                      1
1) A secretary photocopies a letter for every child in a
  school. There are 208 boys and 232 girls. How many
  photocopies are needed?




2) It is 11,934 miles from London to Melbourne by air. How
  many miles will you travel if you fly there and back?




3) A live concert is also shown on the television. There are
  12,000 people at the concert and 1,320,000 people watch
  it on television. How many people watch the concert
  altogether?




                                                               2
4) A charity is trying to raise €1,000,000. It raises €45,560
  from charity shop sales and €19,500 from donations.
         a) Altogether how much money has the charity
            raised so far?
         b) How much more does the charity need to raise?




5) A coach company charges €27 a ticket for a trip. 42
  people buy tickets. How much is this in total?




                                                                3
6) Fifteen people form part of a Lotto syndicate. They win a
   jackpot of €5,550,000. How much can each expect to get?




 7) Using the approximate conversion given please complete
   the table. Answers correct to nearest whole number


   1 mile    1.6 km           1 km   0.6 miles


     JOURNEY          MILES                KM
Paris to Boulogne     159
Brussels to Calais                         216
Cashel to Dublin                           160
Carrick - on - Suir   100
to Dublin
Cork to Dublin                             255




                                                                4
8) A worker earns €17 per hour overtime.
   I. How much does he earn for 9 hours overtime?
   II. His basic wage is €418 per week. How much does he
       earn altogether?




9) Six people inherit €135,000 to be shared equally between
  them. How much does each person inherit?




                                                           5
10)
SECTION                        PROFITS
      A                        €2.46 MILLION
      B                            €3.28 MILLION
      C                        €5.14 MILLION


The above table shows the profits made by the three sections
of a company. The total profit is shared equally between two
partners. How much do they each receive?




11) Write      or   between each pair of numbers.

          a)   2    8     b)   6    1    c) 170 159
          d) 99     101        e) 19 23

                                                               6
12) (a) Complete place value table below. Write
       the following numbers in it.
    (i)     116.74
    (ii)    37.54
    (iii)   12.06
    (iv)    4.52
    (v)     536.09
    (vi)    619.102
    (b) Write down the place value of each digit that is
coloured.
                          .
                          .
                          .
                          .
                          .
                          .
                          .
                          .




13)
  Round these numbers to 2 decimal places
 a) 5.678
 b) 16.591
 c) 11.325
 d) 21.898
 e) 155.793
                                                           7
14) Express each of the following decimals as a fraction

      in its lowest terms:

  i. 0.3

 ii. 0.8

 iii. 0.5

 iv. 0.37

 v. 0.45

 vi. 0.25

vii. 0.28

viii. 0.317

 ix. 0.125

 x. 0.625




                                                             8
15) Write each of these as decimals

   i.

  ii.

 iii.

 iv.

  v.

 vi.

vii.

viii.

 ix.

  x. 12




                                         9
16) Copy the fractions and fill in the missing numbers

=            =                  =                 =




17) Divide €1400 between 3 people in the ratio 4:2:1




18) Complete the following table
   Percentages        Fraction          Decimal
   50%
   33%
   25%
   1%
   75%




                                                         10
of the students in first year are girls. If there are
64 boys in first – year, find the number of girls in the
year.




21.) Find the selling price of a suite of furniture marked
     €850 +VAT at 20%.




22) A shopkeeper bought 200 pens at €2.40 each +
    VAT at 20%. Find the total cost of the pens.




     Percentage profit (or loss) =   ×


                                                             11
23) A jeweller bought a gold ring for €450 and sold it
      for €540. Find her percentage profit.


  24) Use a number line to indicate the natural
      numbers(N)


What is the most common term for the natural numbers?




  25) Use a number line to include the integers (Z). How
      are they defined?




  26) Use a number line to demonstrate real numbers.
      (R). How would you describe real numbers




                                                           12
27) Work out the following calculations without using
your calculator.
  (a)       4 + (−3)
  (b)       (−7) − (−8)
  (c)       (−1) + 6 + (−3)
  (d)       (−3) × 2
  (e)       (−8) ÷ (−2)
        T




28) Round the following numbers as indicated.
(a) 23,650 to two significant figures
(b) 0.00547 to one significant figure
(c) 42.59817 to four significant figures




                                                        13

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Assignment 1

  • 1. SOUTH TIPPERARY VEC FETAC ASSESSMENT NO. 1 NUMBER MATHEMATICS LEVEL 3 3N0929 AUTUMN 2011 NAME_______________________________ 1
  • 2. 1) A secretary photocopies a letter for every child in a school. There are 208 boys and 232 girls. How many photocopies are needed? 2) It is 11,934 miles from London to Melbourne by air. How many miles will you travel if you fly there and back? 3) A live concert is also shown on the television. There are 12,000 people at the concert and 1,320,000 people watch it on television. How many people watch the concert altogether? 2
  • 3. 4) A charity is trying to raise €1,000,000. It raises €45,560 from charity shop sales and €19,500 from donations. a) Altogether how much money has the charity raised so far? b) How much more does the charity need to raise? 5) A coach company charges €27 a ticket for a trip. 42 people buy tickets. How much is this in total? 3
  • 4. 6) Fifteen people form part of a Lotto syndicate. They win a jackpot of €5,550,000. How much can each expect to get? 7) Using the approximate conversion given please complete the table. Answers correct to nearest whole number 1 mile 1.6 km 1 km 0.6 miles JOURNEY MILES KM Paris to Boulogne 159 Brussels to Calais 216 Cashel to Dublin 160 Carrick - on - Suir 100 to Dublin Cork to Dublin 255 4
  • 5. 8) A worker earns €17 per hour overtime. I. How much does he earn for 9 hours overtime? II. His basic wage is €418 per week. How much does he earn altogether? 9) Six people inherit €135,000 to be shared equally between them. How much does each person inherit? 5
  • 6. 10) SECTION PROFITS A €2.46 MILLION B €3.28 MILLION C €5.14 MILLION The above table shows the profits made by the three sections of a company. The total profit is shared equally between two partners. How much do they each receive? 11) Write or between each pair of numbers. a) 2 8 b) 6 1 c) 170 159 d) 99 101 e) 19 23 6
  • 7. 12) (a) Complete place value table below. Write the following numbers in it. (i) 116.74 (ii) 37.54 (iii) 12.06 (iv) 4.52 (v) 536.09 (vi) 619.102 (b) Write down the place value of each digit that is coloured. . . . . . . . . 13) Round these numbers to 2 decimal places a) 5.678 b) 16.591 c) 11.325 d) 21.898 e) 155.793 7
  • 8. 14) Express each of the following decimals as a fraction in its lowest terms: i. 0.3 ii. 0.8 iii. 0.5 iv. 0.37 v. 0.45 vi. 0.25 vii. 0.28 viii. 0.317 ix. 0.125 x. 0.625 8
  • 9. 15) Write each of these as decimals i. ii. iii. iv. v. vi. vii. viii. ix. x. 12 9
  • 10. 16) Copy the fractions and fill in the missing numbers = = = = 17) Divide €1400 between 3 people in the ratio 4:2:1 18) Complete the following table Percentages Fraction Decimal 50% 33% 25% 1% 75% 10
  • 11. of the students in first year are girls. If there are 64 boys in first – year, find the number of girls in the year. 21.) Find the selling price of a suite of furniture marked €850 +VAT at 20%. 22) A shopkeeper bought 200 pens at €2.40 each + VAT at 20%. Find the total cost of the pens. Percentage profit (or loss) = × 11
  • 12. 23) A jeweller bought a gold ring for €450 and sold it for €540. Find her percentage profit. 24) Use a number line to indicate the natural numbers(N) What is the most common term for the natural numbers? 25) Use a number line to include the integers (Z). How are they defined? 26) Use a number line to demonstrate real numbers. (R). How would you describe real numbers 12
  • 13. 27) Work out the following calculations without using your calculator. (a) 4 + (−3) (b) (−7) − (−8) (c) (−1) + 6 + (−3) (d) (−3) × 2 (e) (−8) ÷ (−2) T 28) Round the following numbers as indicated. (a) 23,650 to two significant figures (b) 0.00547 to one significant figure (c) 42.59817 to four significant figures 13