GCSE 9 - 1 Mathematics questions arranged by topic

1 Centre NumberCandidate NumberWrite your name hereSurnameOther namesTotal MarksPaper ReferenceTurn over MathematicsHigher Tier1MA1/2 HYou must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, Use black i nk or ball-point pen. Fill in the boxes a t the top of this page with your name, centre number and candidate number. Answer all questions . Answer the questions in the spaces provided there may be more space than you need. Calculators may be used. If your calculator does not have a button, take the value of to be the question instructs otherwise.

2 Diagrams are NOT accurately drawn, unless otherwise indicated. You must show all your working The total mark for this paper is The marks for each q uestion are shown in brackets use this as a guide as to how much time to spend on each Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question . Check your answers if you have time at the Edexcel Level 1/Level 2 GCSE (9 - 1)GCSE style questions arranged by topicGrade 9 type questionsIn the style of: Peter over DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA4*S48576A0420*DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA3 Here are the first six terms of a Fibonacci 1 2 3 5 8 The rule to continue a Fibonacci sequence is,the next term in the sequence is the sum of the two previous terms.

3 (a) Find the 9th term of this (1)The first three terms of a different Fibonacci sequence are a ba + b(b) Show that the 6th term of this sequence is 3a+ 5b(2)Given that the 3rd term is 7 and the 6th term is 29,(c) find the value of aand the value of (3)(Total for question 3 is 6 marks)1258 Year 9 were choosing the subjects theywould be taking in Year 10. The table showsinformation about these to be studiedGeographyHistorySpanishMale455226 Female254862A sample, stratified by the subject studied and by gender, of 50 of the 258 students is taken.

4 (a) Work out the number of male students studying Spanish in the (2)(b) Work out the number of female students in the that (3x + 1)2 (3x 1)2 is a multiple of 4, for all positive integer values of x.(2) (Total for question 1 is 4 marks) (Total for question 2 is 3 marks) over DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA4*S48576A0420*DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA3 Here are the first six terms of a Fibonacci 1 2 3 5 8 The rule to continue a Fibonacci sequence is,the next term in the sequence is the sum of the two previous terms.

5 (a) Find the 9th term of this (1)The first three terms of a different Fibonacci sequence are a ba + b(b) Show that the 6th term of this sequence is 3a+ 5b(2)Given that the 3rd term is 7 and the 6th term is 29,(c) find the value of aand the value of (3)(Total for question 3 is 6 marks)3 The diagram shows an equilateral triangle ABC with sides of length 6 cm. P is the midpoint of AB. Q is the midpoint of is a sector of a circle, centre the area of the shaded your answer correct to 3 significant cm26 cm6 cm Q P C A B Diagram NOTaccurately drawn 6 cm (Total for question 3 is 4 marks)

6 Over DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA4*S48576A0420*DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA3 Here are the first six terms of a Fibonacci 1 2 3 5 8 The rule to continue a Fibonacci sequence is,the next term in the sequence is the sum of the two previous terms.(a) Find the 9th term of this (1)The first three terms of a different Fibonacci sequence are a ba + b(b) Show that the 6th term of this sequence is 3a+ 5b(2)Given that the 3rd term is 7 and the 6th term is 29,(c) find the value of aand the value of (3)(Total for question 3 is 6 marks)4 Make A the subject of the formula =.

7 5(a) Write 12 500 in standard (1)(b) Write 10 3 as an ordinary (1)(c) Work out the value of 23 500 ( 10 4) Give your answer in standard (2) A3 x = A (Total for question 4 is 2 marks) (Total for question 5 is 4 marks) over DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA4*S48576A0420*DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA3 Here are the first six terms of a Fibonacci 1 2 3 5 8 The rule to continue a Fibonacci sequence is,the next term in the sequence is the sum of the two previous terms.

8 (a) Find the 9th term of this (1)The first three terms of a different Fibonacci sequence are a ba + b(b) Show that the 6th term of this sequence is 3a+ 5b(2)Given that the 3rd term is 7 and the 6th term is 29,(c) find the value of aand the value of (3)(Total for question 3 is 6 marks)6X and Y are two solid shapes which are mathematically shapes are made from the same NOTaccurately drawnThe surface area of X is 50 cm2. The surface area of Y is 18 cm2. The mass of X is 500 the mass of grams (Total for question 6 is 4 marks) over DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA4*S48576A0420*DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA3 Here are the first six terms of a Fibonacci 1 2 3 5 8 The rule to continue a Fibonacci sequence is,the next term in the sequence is the sum of the two previous terms.

9 (a) Find the 9th term of this (1)The first three terms of a different Fibonacci sequence are a ba + b(b) Show that the 6th term of this sequence is 3a+ 5b(2)Given that the 3rd term is 7 and the 6th term is 29,(c) find the value of aand the value of (3)(Total for question 3 is 6 marks)7 The diagram shows a sector of a circle with centre radius of the circle is 8 is an arc of the is a chord of the XOZ = 40 OXYZ8 cm8 cm40 Diagram NOTaccurately drawnCalculate the area of the shaded your answer correct to 3 significant cm2 (Total for question 7 is 5 marks)

10 Over DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA4*S48576A0420*DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA3 Here are the first six terms of a Fibonacci 1 2 3 5 8 The rule to continue a Fibonacci sequence is,the next term in the sequence is the sum of the two previous terms.(a) Find the 9th term of this (1)The first three terms of a different Fibonacci sequence are a ba + b(b) Show that the 6th term of this sequence is 3a+ 5b(2)Given that the 3rd term is 7 and the 6th term is 29,(c) find the value of aand the value of (3)(Total for question 3 is 6 marks)8 The table shows six is a positive integer.