1MA1 1H Mock Set 6 Question Papers (word) PDF

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Nothing much really i just did this to get free premium so dont take this upload seriously TT...

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Answer ALL questions.

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Write your answers in the spaces provided. You must write down all the stages in your working.

1

Work out an estimate for the value of

297 ´9.44 0.503

...................................................... (Total for Question 1 is 3 marks) ___________________________________________________________________________

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2

The diagram shows a square ABCD.

D

C

N

A

M

B

M is the midpoint of AB. N is the midpoint of AD. The area of the shaded triangle AMN is 18 cm2 Work out the area of triangle MCN.

...................................................... cm2 (Total for Question 2 is 4 marks) ___________________________________________________________________________ 3

(a) On the number line below, show the set of values of x for which −1 < x ⩽ 4

0

1

2

4

5

x (2)

(b) Solve the inequality 4y − 7 < 15

...................................................... (2) (Total for Question 3 is 4 marks) ___________________________________________________________________________

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4

There are 140 balloons in a packet. The balloons are red or yellow or blue or green. 20% of the balloons are red. 2 of the balloons are yellow. 7 The ratio of the number of blue balloons to the number of green balloons is 5 : 4 Work out the number of green balloons in the packet.

...................................................... (Total for Question 4 is 5 marks) ___________________________________________________________________________

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5

(a) Write down the value of 10−2 ...................................................... (1) (b) Write the number

375 000 000

in standard form.

...................................................... (1) (c) Write the following numbers in order of size. Start with the smallest number. 582 × 103

5.82 × 10−2

0.005 82

0.582 × 105

...................................................................................................................................................... (2) (Total for Question 5 is 4 marks) ___________________________________________________________________________

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6

The diagram shows some information about junctions A, B and C on a motorway.

Raja drove from A to B at an average speed of 50 mph. The distance from A to B is 10 miles. Raja took 30 minutes to drive from A to C. He drove from A to C at an average speed of 62 mph. Work out Raja’s average speed as he drove from B to C.

...................................................... mph (Total for Question 6 is 4 marks) ___________________________________________________________________________

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7

Kirsty bought a new TV. The total cost of the TV was £360, including VAT at 20% Work out the cost of the TV before the VAT was added.

£...................................................... (Total for Question 7 is 2 marks) ___________________________________________________________________________

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8

(a) Complete the table of values for

x

0.2

y

y=

2 x

0.5

1

2

4

4

5 0.4 (2)

(b) On the grid below, draw the graph of y=

2 for values of x from 0.2 to 5 x

(2) (Total for Question 8 is 4 marks) ___________________________________________________________________________

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9

A, B and C are three points. The coordinates of A are (−2, 5) The coordinates of B are (1, 1) The coordinates of C are (19, −23) Does point C lie on the straight line that passes through A and B? You must show how you get your answer.

(Total for Question 9 is 3 marks) ___________________________________________________________________________

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10

The cumulative frequency graph shows information about the heights of 60 fir trees.

(a) Use the graph to find an estimate for the median height.

...................................................... m (1) (b) Use the graph to find an estimate for the interquartile range of the heights.

...................................................... m (2)

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(c) Use the graph to find an estimate for the percentage of these fir trees that have a height greater than 30 metres.

......................................................% (3) (Total for Question 10 is 6 marks) ___________________________________________________________________________ 11

Jo has to make h the subject of the formula

d=

3h 2

Here is her working. 2d =

3h

2

2d = 3h h=

2d2 3

What mistake has Jo made in the second line of her working? ...................................................................................................................................................... ...................................................................................................................................................... ...................................................................................................................................................... (Total for Question 11 is 1 mark) ___________________________________________________________________________

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12

..

Write 1.13 6 as a fraction in its simplest form.

...................................................... (Total for Question 12 is 3 marks) ___________________________________________________________________________

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13

Describe fully the single transformation that maps triangle A onto triangle B. ...................................................................................................................................................... ...................................................................................................................................................... ...................................................................................................................................................... (Total for Question 13 is 2 marks) ___________________________________________________________________________

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14

Here is a table of values for m and for r m

2

6

10

14

r

20

16

12

8

Harry says, “r is inversely proportional to m because the values of r decrease by 4 and the values of m increase by 4” (a) Is Harry correct? You must give a reason for your answer. ...................................................................................................................................................... ...................................................................................................................................................... ...................................................................................................................................................... (1) y is inversely proportional to x2 (b) Complete this table of values. x y

1

2 50

5 2

(4) (Total for Question 14 is 5 marks) ___________________________________________________________________________

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15

A, B, C and D are points on the circumference of a circle, centre O. AE and CE are tangents to the circle. Angle ABC = 110° Work out the size of angle AEC. You must show all your working.

......................................................° (Total for Question 15 is 4 marks) ___________________________________________________________________________

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16

Express

45 +

45 in the form a 5 where a is an integer. 5

...................................................... (Total for Question 16 is 3 marks) ___________________________________________________________________________ 17

Here are the first five terms of an arithmetic sequence. 2

5

8

11

14

Prove algebraically that the sum of the squares of any two consecutive terms of this sequence is always 1 less than a multiple of 6

(Total for Question 17 is 4 marks) ___________________________________________________________________________

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18

Here is a speed-time graph for part of a car journey. This part of the journey took 60 seconds.

The car travelled at a constant speed of V m/s for the first 40 seconds. It travelled 1 km in the 60 seconds. Work out the value of V.

...................................................... (Total for Question 18 is 3 marks) ___________________________________________________________________________

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19

Here is a logo, OABCDEF.

OABEF is a sector of a circle, centre O and radius 7 cm. OBCDE is a sector of a circle, centre O and radius 12 cm. Angle AOF = 100° Angle COD = 40° The perimeter of the logo is P cm. Find the exact value of P. Give your answer in the form a + bπ where a and b are integers.

...................................................... (Total for Question 19 is 4 marks) ___________________________________________________________________________

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20

Dan has a grid of nine circles.

Dan chooses at random two of the circles in the grid. (a) Show that the probability that Dan chooses the two circles shown shaded below is

1 36

(2) Joan also has a grid of nine circles.

Joan chooses at random three of the circles in the grid. (b) Find the probability that these three circles are in a straight line.

...................................................... (3) (Total for Question 20 is 5 marks) ___________________________________________________________________________

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21

f(x) =

4 x+ 3

g(x) = 3x + 1 (a) Find

f −1(x)

...................................................... (2) Given that

a>0

(b) find the set of values of a for which

gf(2a) < a

.................................................................................. (5) (Total for Question 21 is 7 marks) ___________________________________________________________________________

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TOTAL FOR PAPER IS 80 MARKS S68589A © Pearson Education Ltd....