No questions found
Work out.
(a) $(0.3)^2$ ............................................................... [1]
(b) $\frac{4}{9} - \frac{1}{6}$ ............................................................... [2]
528
582
584
Divide 360 in the ratio 7 : 2.
...................., ............................. [2]
592
594
544
ABC is a triangle.
FED and BCD are straight lines.
Work out angle $EDC$.
Angle $EDC = \text{..........................................................}$
544
597
593
Sacha drove 425 km from home at an average speed of 100 km/h.
(a) Calculate the time for the journey giving your answer in hours and minutes.
.................... h .................. min [2]
(b) The return journey took 3 hours and 55 minutes.
She started at 21 56.
At what time did she arrive home?
................................................ [2]
522
545
529
(a) Write down the integer solutions to this inequality.
$$-2 \leq 2x < 8$$ ....................................................................... [2]
(b) Solve $2 + 2x > 5x + 14$. ........................................................................ [2]
565
550
575
Work out $(5.2 \times 10^{18}) - (2.4 \times 10^{17})$. Give your answer in standard form.
527
555
597
A map is drawn to a scale of 1 cm to 5 km.
(a) On the map, the distance between two towns is 4.8 cm.
Find the actual distance between the towns.
.............................................. km [1]
(b) An island has an area of 75 km².
Find the area of the island on the map.
.............................................. cm² [2]
527
503
515
U = \{ \text{integers from 1 to 12} \}
A = \{1, 2, 4, 5, 12\}
B = \{2, 3, 4, 6, 10\}
C = \{1, 2, 8, 9, 10\}
(a) Complete the Venn Diagram.
[2]
(b) Find $n(A \cap (B \cup C)^{'})$.
[1]
517
550
539
The point $A$ has co-ordinates $(3, 8)$.
The point $B$ has co-ordinates $(7, 0)$.
(a) Find the co-ordinates of the midpoint of $AB$.
(................. , .....................) [1]
(b) Find the equation of the perpendicular bisector of $AB$.
Write your answer in the form $y = mx + c$.
$y = ...............................................$ [3]
560
584
559
The sector and the circle have the same area.
The angle of the sector is 60°.
The radius of the sector is 12 cm and the radius of the circle is $r$ cm.
Work out the value of $r$.
Give your answer as a surd in its simplest form.
$r = \text{.................................}$
586
538
584
Rearrange this formula to make $b$ the subject.
$$A = \frac{(a+b)}{2}h$$
$$b = \text{.....................................}$$
564
547
506
(a) Find the value of $\log_{25} 5$.
(b) Simplify $\log 63 - 2 \log 3$.
509
522
581
