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5 review questions
Term 4 Week 1        Lesson 1
1. Isabella is paid a normal hourly rate of $13.20 per hour.
Calculate her wage for a week in which she works 16 hours
at normal pay and 3 hours at time-and-a-half.
                                  42 cm
2. Solve for x:                           35°

                              x


3. Give an example of data which is classified as discrete.
4. Petrol costs $1.29 per litre. Dom’s car uses 8L per 100km.
How far can she travel on $20 worth of petrol?
5. In a bag there are 3 red, 4 blue and 5 white discs.
One disc is chosen at random.
What is the probability of choosing a white disc?
Term 4 Week 1 Lesson I
                      Answers


1. 16 × $13.20 + 3 × 1.5 × $13.20        3.
   = $270.60
                                    4. 20 ÷ 1.29 = 15.503...L
              x
2. sin 35° =                             15.503...L ÷ 8 × 100
             42
                                         = 193.798...km
   x = 42 × 0.573...
   x = 24.1cm
                                    5.         5
                                              12
Term 4 Week 1      Lesson 2
1. Jan invested $4500 at a simple interest rate of 5.3% p.a.
for 3years and 6 months. Calculate the interest earned.
2. Calculate the mean of:
   2, 4 , 5, 5, 5, 7, 12, 15
3. The angle of elevation to the top of tower
from a point A is 48     

The tower is known to be 162m high. How far is point A from
the base of the tower?
             3x − 4
 4. Solve           = 22
                5
5. In how many ways can you organise 4 people in a line?
Term 4 Week 1   Lesson 2
                           Answers
1. $4500 x 0.053 x 3.5 =$834.75

2.   2+4+5+5+5+7+12+15 = 6.875
              8
3.                                     162
                               Tan48 =
                                    
 162m                                   x
                       
                  48       A            162
                                   x=          = 145.865...m
        3x − 4                        tan 48 
4.             = 22
           5
        3x − 4 = 110
                                   5. 4x3x2x1=24
        3x = 114
        x = 38
Term 4 Week 1     Lesson 3
1. John receives a gross pay of $631.80 for a 36 hour week.
What is his hourly rate of pay?
2. Write down 5 numbers that have a mean of 8.

3. The ratio of lemon to orange to lime trees in an orchard is
    5:3:2. If there are 2000 trees in the orchard, how many
                      lime trees are there?
4. Solve   5 − 3( 2x − 1) = 22
5. A three digit number is to be formed using the
   digits 3, 4, 6. How many more numbers can be
   formed if the digits can be repeated?
Term 4 Week 1   Lesson 3
                           Answers
1.   $631.80      ÷ 36   =$17.55     4.   5 − 3( 2x − 1) = 22
2.   8,8,7,7,10                           5 − 6x + 3 = 22
                                          8 − 6x = 22
3.  2
      × 2000 = 400                        −6x = 22 − 8
   10
                                              14 −7
                                          x=      =
                                              −6     3

5. (3x3x3)-(3x2x1)=21
Term 4 Week 1      Lesson 4
1. Rod receives a weekly gross salary of $458. Calculate
his monthly gross salary.
2. Calculate the volume of
                                       12cm
the triangular prism shown.                     20cm
                                      15cm
3.    x f     For the given frequency table, find:
      11 3    a. the mean
      12 5    b. the median
       13 4   c. the mode
       14 6
4. A coin is tossed and a die is rolled. What is the
probability of obtaining a tail and a number less than 5?
Term 4 Week 1   Lesson 4
                      Answers
1. $458x52/12=$1984.67.

2.                          1
       12cm                   × 15 × 12 × 20 = 1800cm 3

                   20cm
                            2
3.     15cm

     x f                      11 × 3 + 12 × 5 + 13 × 4 + 14 × 6 = 229 = 12.7
              a. the mean   =
     11 3                                    18                   18
              b. the median =13
     12 5
     13 4     c. the mode =14
     14 6
4.   n(S)=2x6=12
               4 1
     P(T,<5)=   =
              12 3

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Quick questions term 4 week 1

  • 2. Term 4 Week 1 Lesson 1 1. Isabella is paid a normal hourly rate of $13.20 per hour. Calculate her wage for a week in which she works 16 hours at normal pay and 3 hours at time-and-a-half. 42 cm 2. Solve for x: 35° x 3. Give an example of data which is classified as discrete. 4. Petrol costs $1.29 per litre. Dom’s car uses 8L per 100km. How far can she travel on $20 worth of petrol? 5. In a bag there are 3 red, 4 blue and 5 white discs. One disc is chosen at random. What is the probability of choosing a white disc?
  • 3. Term 4 Week 1 Lesson I Answers 1. 16 × $13.20 + 3 × 1.5 × $13.20 3. = $270.60 4. 20 ÷ 1.29 = 15.503...L x 2. sin 35° = 15.503...L ÷ 8 × 100 42 = 193.798...km x = 42 × 0.573... x = 24.1cm 5. 5 12
  • 4. Term 4 Week 1 Lesson 2 1. Jan invested $4500 at a simple interest rate of 5.3% p.a. for 3years and 6 months. Calculate the interest earned. 2. Calculate the mean of: 2, 4 , 5, 5, 5, 7, 12, 15 3. The angle of elevation to the top of tower from a point A is 48  The tower is known to be 162m high. How far is point A from the base of the tower? 3x − 4 4. Solve = 22 5 5. In how many ways can you organise 4 people in a line?
  • 5. Term 4 Week 1 Lesson 2 Answers 1. $4500 x 0.053 x 3.5 =$834.75 2. 2+4+5+5+5+7+12+15 = 6.875 8 3. 162 Tan48 =  162m x  48 A 162 x= = 145.865...m 3x − 4 tan 48  4. = 22 5 3x − 4 = 110 5. 4x3x2x1=24 3x = 114 x = 38
  • 6. Term 4 Week 1 Lesson 3 1. John receives a gross pay of $631.80 for a 36 hour week. What is his hourly rate of pay? 2. Write down 5 numbers that have a mean of 8. 3. The ratio of lemon to orange to lime trees in an orchard is 5:3:2. If there are 2000 trees in the orchard, how many lime trees are there? 4. Solve 5 − 3( 2x − 1) = 22 5. A three digit number is to be formed using the digits 3, 4, 6. How many more numbers can be formed if the digits can be repeated?
  • 7. Term 4 Week 1 Lesson 3 Answers 1. $631.80 ÷ 36 =$17.55 4. 5 − 3( 2x − 1) = 22 2. 8,8,7,7,10 5 − 6x + 3 = 22 8 − 6x = 22 3. 2 × 2000 = 400 −6x = 22 − 8 10 14 −7 x= = −6 3 5. (3x3x3)-(3x2x1)=21
  • 8. Term 4 Week 1 Lesson 4 1. Rod receives a weekly gross salary of $458. Calculate his monthly gross salary. 2. Calculate the volume of 12cm the triangular prism shown. 20cm 15cm 3. x f For the given frequency table, find: 11 3 a. the mean 12 5 b. the median 13 4 c. the mode 14 6 4. A coin is tossed and a die is rolled. What is the probability of obtaining a tail and a number less than 5?
  • 9. Term 4 Week 1 Lesson 4 Answers 1. $458x52/12=$1984.67. 2. 1 12cm × 15 × 12 × 20 = 1800cm 3 20cm 2 3. 15cm x f 11 × 3 + 12 × 5 + 13 × 4 + 14 × 6 = 229 = 12.7 a. the mean = 11 3 18 18 b. the median =13 12 5 13 4 c. the mode =14 14 6 4. n(S)=2x6=12 4 1 P(T,<5)= = 12 3