Edexcel GCSE Mathematics (Linear) 1380 Higher Tier Paper 4 (Calculator) Time 1 hour 45 minutes
June 2010 Ref: N36762A
Before you start The original paper, without the answers, is at:
http://issuu.com/mathsgeek
120g raspberry jelly for 4 people, so: 120/4 = 30 for 1 person 6 x 30 = 180g for 6 people
How it’s done
8 sponge fingers for 4 people, so 8/4 = 2 for 1 person 6 x 2 = 12 for 6 people
180 120 630 270
How it’s done
420ml for 4 people, so 420/4 = 105 for 1 person 6 x 105 = 630 for 6 people 180g for 4 people, so 180/4 = 45 for 1 person 6 x 45 = 270 for 6 people
.
Upward slope – left to right
Positive
Draw a line of best fit – your answer should be between 6.6 and 7.6
7.1
620 x 1.25 = €775 775
€50 ÷ 1.25 = £40 Difference is £42 - £40 = £2
£2
-2
4
7
y = 3 x -2 + 4 = -6 + 4 = -2 y=3x0+4=0+4=4 y=3x1+4=3+4=7
. . . . .
1120 Angle ANL = 680 (alternate angles) So, angle y = 180 – 68 = 1120 (angles in a straight line = 1800)
2 = 2 1.5 + 2.45 3.95
= 0.506329113 0.506329113
Go to the THIRD integer – it is 5 or more, so increase the SECOND integer by 1 to 1
0.51
The third significant figure is the second 7 – and the next integer is les than 5
Circumference = π x d = 3.142 x 12 = 37.704 37.7
x = 1 gives 11 x = 2 gives 28 x = 1.5 gives = 18.375 X = 1.6 gives 20.(096) x = 1.7 gives 21.(913) x = 1.8 gives 23.(832) x = 1.9 gives 25.(859) x = 1.85 gives 24.8(316..) x = 1.86 gives 25.(03..) x = 1.87 gives 25.2(3..) x = 1.88 gives 25.4(4..) x = 1.89 gives 25.6(5..)
1.9
84 x 100 = 8400 = 24 350 350 24
Total of probabilities MUST add up to 1, so: 1 – (0.15 + 0.30 + 0.35) = 1 – (0.80) = 0.20 0.2
Number of ribbons = 0.30 x 500 = 150 150
Base angles of an isosceles triangle are equal (AB = AC)
Rearrange x to the left and numbers to the right (of the = sign) 3x – x = 10 + 30 2x = 40 x = 20
20
Area of triangle = ½ x base x perp. Height = ½ x 14 x 6 = 42 cm2
42
By Pythagoras: AB2 = AC2 + BC2 = 142 + 62 = 196 + 36 = 232 232 AB = AB = 15.23154621 15.23
The high edge (at the back of the shape (2cm high)
The narrow edge of the shape (1cm high)
20 X 3 60 X 5 100 X 12 140 X 7 180 X 3
60 300 1200 980 540
Numbers in blue – midpoints of n
Mean number of CDs sold = (60 + 300 + 1200 + 980 + 540) ÷ 30 = 3080 = 102.6666 = 102.7 102.7
n MUST be an INTEGER and BIGGER than -4 and less than or equal to 1, so -3, -2, -1, 0, 1
Re-arrange with x on the left and numbers on the right of the > 3x – x > 7 + 2 2x > 9 x > 4.5
-3, -2, -1, 0, 1
x > 4.5
Draw a line between B and C – find the midpoint and join to A
Square both sides to give r2 = A 3 Multiply BOTH SIDES by 3 to give: 3r2 = A
3r2
1.55 x 104
Remember 10-3 is 1/1000
0.00248
24500 รท 0.000125 = 196000000 = 1.96 x 108
1.96 x 108
x2 – 5x – 2x + 10 x(x – 5) -2(x – 5) (x – 5)(x – 2) (x – 5)(x – 2)
(x – 5)(x – 2) = 0 X – 5 = 0 so x = 5 Or X – 2 = 0 so x = 2
5 2
Cos 580 = AB 16 AB = 16Cos 580 = 8.48
8.48
28.5
Upper bound = 147.5 (to the nearest 5 metres) Upper bound for perimeter = 147.5 + 28.5 + 147.5 + 28.5
352
= 352 metres
p9
p5 x p4 = p5+4 = p9
q3
q5 ÷ q2 = q5-2 = q3
2u
12tu6 ÷ 6tu5 = 2u6-5 = 2u
(9w y ) = 2 6
½
.......... 9w2y6
3wy3
= 3wy
3
x-2
x0
x1/2
x
x2
Ratio of surface area = 50:18 = 25:9 Ratio of length = 5:3 Ratio of volume = 125:27 Mass = 500 x 27 = 108 125 108
Each element has an equal chance of being selected (e.g. All the balls in a bag have an equal chance of being pulled out)
Number each of the stamps and then use the random number generator on a calculator 10 times
50 x 95 = 7.175 662 7.175
12 6
16 12 8 4
REMEMBER: in histograms the measure is the AREA of the bar – not its height:
Area of circle of the whole circle centre 0 = π x r x r = πx8x8 Area of sector of circle = 40 x π x 64 = 1 x 3.142 x 64 = 360 9 22.343 (remember this is the area of the sector – the triangle OSP and the shaded area) The area of the triangle = ½ x 82 x sin 40 = 20.569 So, the area of the shaded segment = 22.343 – 20.569 = 1.774 = 1.77 (to 3 sig figs)
1.77
y = f(x – 5)
x=4
y=3