Maths-11-plus-Dulwich-Paper-F

2614

2646

1.08

1. Sometimes, these questions can be done in 2 parts. First 6/6 and then 0.48/6
2. 6/6 = 1
3. 0.48/6. Treat this is 48/6 = 8.
4. Then move 8 2 decimal places to the right. So 0.08
5. So answer is 1.08

Use proper column format when working through these questions

120

1. Use BIDMAS
2. 20 + (1 x 7) = 27
3. (20 + 1) x 7 = 147
4. 147-27

a) 12.5%

3 films = 45 degrees

45/360 = 0.125 = 12.5%

b) 7/24

Focus on left hand side (so 0,1, & 4 together = 180 degrees)

0 children = 180 degrees – 45 – 30 = 105 degrees

105/360 = 21/72 = 7/24

a) See below. 1.52

Convert to the same metric. So in this case, its better to convert to decimals

b) 0.3

For this, you should use reverse bus stop. So 70 goes outside the bus stop with 21 inside.

Then add zeros on so that you can work out the answer to 2 decimal places

Then change the answer by the number of decimal places you added. So if you added 2 zeros, then your answer of eg. 70 would become 0.7

11/35

1. Convert to the lowest common denominator which is 35
2. So 2/5s becomes 14/35 and 2/7s becomes 10/35
3. Add together so 24/35
4. This leaves 11/35

a) 1620

b) 2000

64cm

Perimeter = 14+3+4+6+7+2+17+11

a) 120

(17+13)(17-13) = 30 * 4 = 120

b) 776,000

(888+112)(888-112) = 1000 * 776 = 776000

c) 50

(7.5+2.5)(7.5-2.5) = 10 * 5 = 50

16

5 numbers with mean 28 = 140 in total (5 * 28)

12 numbers with mean of 11 = 132 in total (12 * 11)

Total = 272

Mean = 272/17

462cm

Large Triangle = 16cm * 3 (all sides same as its equilateral). So 48cm

Middle Triangle = 7cm * 3 triangles * 3 sides (7 small triangles of 1cm each on the horizontal base tells us its a 7x7x7 triangle). So 63cm

Next size Triangle of which there are 3 = 3cm * 3 triangles * 3 sides = 27cm. There are 3 of them so 27cm

Smallest triangle = 36 small triangles all of 1cm per side. So 3cm *36 triangles * 3 sides = 324cm

Total of all of these is 48 + 63 + 27 + 324

£29.90

1. First divide exactly by 2 as if they have 50/50. So this would be £23
2. Then take 15% off Miguel and give this to Jon. So the revised share becomes 35% Miguel and 65% Jon
3. So £46 * 65/100 =

8m per second

1. 4000m at 10m p/s = 400 seconds to travel the distance = 6 minutes 40 seconds
2. Tom therefore takes 500 seconds to travel the same distance
3. So his speed > Speed = Distance/Time = 4000/500 = 8m per second

a) 83

(14*2)+55 = 28+55 = 83

b) 13

(9*2) = 18

31-18 = 13

c) 22

d) 0

So for d), try c = 4 and 4 = 4. This will mean that 4*2 + 4 = 12 and this is equal to 4*2 + 4 as c & d are the same. So c-d or d-c = 0

a) 7

Work by trying some permutations. A7, L3, P2, H1, A7, B5, E6, T4

b) 2

Per above process in trying permutations

a) 0.33cm²

Overlap is 1/3rd of a triangle. So area if full would be 1×1 = 1cm. So answer is 1/3rd of this

b) 12.25cm²

2 full shaded squares. In addition, 1.5 other shaded squares. So 3.5 x 3.5