Homework Sheet 1 (Covering YH1)
1) Fill in the next 3 terms in each sequence:
a) 10, 12, 14, 16, ______, ______, ______.
b) 41, 38, 35, 32, ______, ______, ______.
c) 1, 2, 4, 8, ______, ______, ______.
d) 1, 1, 2, 3, 5, ______, ______, ______.
e) 1, 4, 9, 16, ______, ______, ______.
f) 1, 3, 6, 10, ______, ______, _____.
2) Sandra is working on the design for a bracelet. She is using matches to make each shape.
a) Draw shape 4.
b) Complete the following table:
Shape Number (s) / 1 / 2 / 3 / 4 / 5 / 6 / … / 13Number of Matches (m)
c) Find a formula for calculating the number of matches (m) in terms when you know the shape number (s).
d) Which shape number uses 61 matches. Show all working.
Calderglen High School – Mathematics Department
Homework Sheet 2 (Covering YH2)
Show ALL working
1) Calculate the area of each of the following parallelograms:
a) b)
2) Calculate the area of each of the following quadrilaterals:
a) b)
3) Given that the area of this parallelogram is 48cm², find the height, h.
4) This shape is made from 4 congruent kites. Find the total area of the shape
Calderglen High School – Mathematics Department
Homework Sheet 3 (Covering YH3)
1) 10 pupils had their heights measured in metres. The results are listed below:
1∙36, 1∙40, 1∙44, 1∙ 46, 1∙47,
1∙49, 1∙62, 1∙62, 1∙63, 1∙71
a) Work out the range.
b) Write down the modal height.
c) Work out the median height.
d) Calculate the mean height.
2) Listed are the absences for the two 3rd year classes over 10 consecutive days:
3T1: 0, 2, 3, 1, 4, 2, 5, 1, 3, 2 3S1: 3, 1, 2, 1, 1, 2, 3, 3, 2, 1
a) Work out the mean number of absences for each class.
b) Work out the range of absences for each class.
c) Make 2 valid statements comparing the absences of 3T and 3S.
Calderglen High School – Mathematics Department
Homework Sheet 4 (Covering YH4)
1) Davina has a bag of sweets.
The bag contains 3 yellow, 4 purple, 2 red and 6 pink sweets.
Unfortunately, the corner of Davina’s bag has ripped and a sweet has fallen out.
a) What is the probability that this sweet is yellow?
b) The 1st sweet that fell out was yellow and Davina put it in the bin.
What is the probability that the next sweet to fall out is pink?
2) Mr Burton placed a bet on the 1st player to score a goal in a Barcelona match. Mr Burton knew that Xavi had scored 5 goals in 35 matches and Iniesta had scored 3 goals in 15 matches.
Mr Burton wants to bet on the player who is most likely to score first. Who should he bet on, Xavi or Iniesta? Give a reason for your answer.
3) The probability that a pupil in a particular S3 class is left-handed is 27.
What is the probability that a pupil in the class is right-handed?
Calderglen High School – Mathematics Department
Homework Sheet 5 (Covering YH5)
Show ALL working
1) Calculate the gradient of each of the following lines and state which is steepest:
a) b) c)
2) Calculate the gradients of the line segments AB and CD.
3) The gradient of a ramp has to be between 0∙1 and 0∙2 to meet safety standards.
Does the above ramp meet safety standards?
Explain your answer.
Calderglen High School – Mathematics Department