GCSE Mathematics Intermediate Tier Key Skills Booklet€¦ · GCSE Mathematics Intermediate Tier Key Skills Booklet Name: Class: School Username: barry School Password: maths14. Question

GCSE Mathematics

Intermediate Tier

Key Skills Booklet

Name:

Class:

School Username: barry

School Password: maths14

Question Answer

1 0.3 x 0.4

2 3.5 – 1.76

3 42 + 23

4 2

5+

3

10

5 Write the next two numbers in the sequence50, 45, 39, 32, …

6 Simplify 3y2 x y2

7 Which of the following numbers are square numbers1, 5, 10, 20, 25, 50, 100

8 Expand 3(2x + 5)

9 Factorise 6x + 10

10 Convert 8.8lbs into kg

11 If x=3 and y=-2, Calculate 4x + y

12 Estimate 3.01 × 5.6

2.19

13 Solve 3x + 4 = 5x - 6

14 Write the reciprocal of 2

3

15 80

16 Share 25 in a ratio of 2:3

17 Round 2.09915 to 3 significant figures

18 Find 3

7of 35

19 The probability of pulling an ace out of a packet of cards at random is…

20 Factorise x2 + 5x + 4

Workings:

Reflection:

Question Answer

1 A car travels at an average speed of 30mph for 45minutes. How far has it travelled?

2 A pie chart about favourite sports represents 300 people in total. A section where responses were rugby union has an angle of 72o. How many people selected rugby union s their favourite sport?

3 A shop spent £3000 on clothing. It sold the clothing for £4700. 20% of it’s profit was VAT. How much money was the VAT?

4 £1 = (New Zealand) NZ$ 1.94. How much is £2750 worth in NZ$?

5 Calculate 4/7 of 10.85km. Give your answer in meters.

6 What is 13 as a percentage of 60. Give your answer to 1 significant figure.

7 Two similar shapes have top sides of 3cm and 4.5cm respectively. What is the scale factor?

8 Find the value of x



11 Calculate the volume of the cylinder

12 Use trial and improvement to solve x2 + 3x + 2 = 86 correct to 1 decimal place. The solution lies between 7 and 8.

Workings:

Reflection:

Question Answer

1 0.2 x 0.5

2 4.6 – 2.73

3 52 - 23

4 2

3+2

9


6 Simplify 5y3 x 2y2

7 Which of the following numbers are prime numbers1, 2, 5, 11, 12, 15

8 Expand 3(4x - 5)

9 Factorise 2x + 8

10 Convert 3kg into pounds (lbs)

11 If x=3 and y=-2, Calculate 5x + 3y

12 Estimate 3.01 × 5.6

0.51

13 Solve 5x + 4 = 2x - 8


4

15 70


17 Round 209915 to 3 significant figures

18 Find 2

7of 56

19 The probability of pulling a heart out of a packet of cards at random is…


Workings:

Reflection:

Question Answer


2 A pie chart about favourite foods represents 4800 people in total. A section where responses were pizza has an angle of 48o. How many people did not selected pizza as their favourite food?

3 A person earns £15000 per annum. They pay 20% tax on all money earned above £12,500. How much money do they get paid per month, after tax?

4 £1 = (Australian) Aus$ 1.81. How much is Aus$3650 worth in £?

5 Calculate 2/13 of 26km. Give your answer in miles.


7 Two similar shapes have top sides of 5cm and 9cm respectively. What is the scale factor?




11 Calculate the volume of the prism

12 Calculate an estimate of the mean

Workings:

Reflection:

Question Answer

1 0.2 x 0.3

2 4.8 – 2.95

3 42 + 33

4 5

6+

1

12

5 Write the next two numbers in the sequence-16, -10, -5, -1, …

6 Simplify 5y x 6y3

7 Which of the following numbers are multiples of 311, 12, 51, 110, 120, 153

8 Expand x(4x - 5)

9 Factorise 6x - 8

10 Convert 3kg into pounds (lbs)


12 Estimate 3.01 × 5.6

0.51

13 Solve 2x + 4 = 18


15 20



18 Find 3

8of 56

19 The probability of pulling a multiple of 4 out of a packet of cards at random is…

20 Factorise x2 + 8x - 20

Workings:

Reflection:

Question Answer

1 A plane travels 2100 miles and takes 3 hours 30 minutes. What was its average speed?

2 A pie chart about favourite sports represents 120 people in total. A section where responses were netball has an angle of 75o. How many people selected netball as their favourite sport?

3 A restaurant spent £300 on food. It sold the food for £2000. 20% of it’s profit was VAT. How much money was the VAT?



6 A T-shirt is £47.50 in a sale. The original price of the t-shirt was £60. By what percentage has the t-shirt been reduced?

7 Two similar shapes have left hand sides of 7cm and 17.5cm respectively. What is the scale factor?



10 The shape below is a square.Find the value of x

11 Calculate the volume of the prism

12 Use trial and improvement to solve 2x2 + 7x = 340 correct to 1 decimal place. The solution lies between 11 and 12.

Workings:

Reflection:

Question Answer

1 0.3 x 0.4

2 3.5 – 1.76

3 42 + 23

4 2

5+

3

10


6 Simplify 3y2 x y2

7 Which of the following numbers are square numbers1, 5, 10, 20, 25, 50, 100

8 Expand 3(2x + 5)

9 Factorise 6x + 10

10 Convert 8.8lbs into kg

11 If x=3 and y=-2, Calculate 4x + y

12 Estimate 3.01 × 5.6

2.19

13 Solve 3x + 4 = 5x - 6


3

15 80



18 Find 3

7of 35

19 The probability of pulling an ace out of a packet of cards at random is…


Workings:

Reflection:

Question Answer


2 A pie chart about favourite sports represents 300 people in total. A section where responses were rugby union has an angle of 72o. How many people selected rugby union s their favourite sport?

3 A shop spent £3000 on clothing. It sold the clothing for £4700. 20% of it’s profit was VAT. How much money was the VAT?




7 Two similar shapes have top sides of 3cm and 4.5cm respectively. What is the scale factor?




11 Calculate the volume of the cylinder


Workings:

Reflection:

Question Answer

1 0.1 x 0.7

2 4.0 – 1.76

3 52 – 24

4 3

8+

3

16

5 Write the nth term of the sequence below9, 13, 17, 21, 25, …

6 Simplify 2y3 x 3y2

7 Which of the following numbers are cube numbers1, 4, 8, 20, 27, 50, 100

8 Expand y(3y - 5)

9 Factorise 6x2 + 5x

10 Convert 3 kg into pounds


12 Estimate 301 × 1.6

0.49

13 Solve 8x - 4 = 2x – 9


15 30



18 Find 3

7of 56

19 The probability of pulling an heart out of a packet of cards at random is…

20 Factorise x2 - 5x + 4

Workings:

Reflection:

Question Answer

1 A car travels 15miles in 20minutes. What is the average speed that it has travelled at?

2 A pie chart about favourite sports represents 180 people in total. A section where responses were rugby league has an angle of 36o. How many people selected rugby league their favourite sport?

3 A shop spent £500 on drinks. It sold the drinks for £700. 20% of it’s profit was VAT. How much money was the VAT?

4 £1 = € 1.18. How much is £750 worth in €?

5 Calculate 2

3of 1.8km. Give your answer in meters.


7 Two similar shapes have top sides of 3cm and 5cm respectively. What is the scale factor?



10 Find the value of x and y

11 Calculate an estimate of the mean


Workings:

Reflection:

Revision Checklist

Exam Dates

Paper 1 – Tuesday 19th May

(Half Term)

Paper 2 – Thursday 4th June

Topic DateConfidence

Percentage & Fraction of a Quantity & Ratio

Compound interest / depreciation (Repeated Percentage change)

Plotting quadratics graphs

Expand single and double brackets

Speed, distance, time (Convert between Minutes and Hours)

Estimation (Rounding to significant figures)

Factorise a single bracket

Area of trapezium and compound shapes

Circumference and area circles, semi circles, compound shapes involving circles

Drawing and Interpreting Conversion graphs

Interior and Exterior angles

Bearings

Map Scales

Dimensional Analysis

Pythagoras’ Theorem

Trigonometry (SOHCAHTOA)

Scatter Diagrams

Trial & Improvement

Tree Diagrams (Probability)

Mean and Median from a Grouped Frequency Table

Exchange Rates

Venn Diagrams

Upper and Lower bounds

Similarity – Length

Volume of a Prism (incl. Cuboid & Cylinder)

Standard Form

Estimation Problems

Questions involving Formulae and Substitution

Documents

GCSE Mathematics Intermediate Tier Key Skills Booklet€¦ · GCSE Mathematics Intermediate Tier Key Skills Booklet Name: Class: School Username: barry School Password: maths14. Question