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29 31 41 49 51 59
From this list, write down all the numbers that are prime numbers. .........................................................
600
578
528
Find the value of $x$.
\(x = \text{.....................} [1]\)
551
590
506
Work out.
(a) $0.04 \times 0.06$ .............................................................. [1]
(b) $\frac{0.02}{0.8}$ .............................................................. [1]
562
557
585
A bag contains 3 blue balls and 7 green balls. One ball is chosen at random.
Find the probability the ball chosen is
(a) white ..................................................... [1]
(b) not blue. .............................................. [1]
524
590
562
Change 12 millimetres into metres. .............................. m [1]
552
516
543
(a) Write 0.003 \; 08 \; in \; standard \; form. \; \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \; [1]
(b) Work \; out \; \left(7 \times 10^6\right) \times \left(3 \times 10^{-8}\right).
Give \; your \; answer \; in \; standard \; form. \; \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \; [2]
546
570
558
Find the next term and the $n^{th}$ term for this sequence.
1, \ 7, \ 17, \ 31, \ 49, \ ...
next term ...................................................
$n^{th}$ term .................................................. [3]
538
579
566
The total cost of 5 pens and 7 pencils is $6.75. Each pencil costs $0.45.
Find the cost of one pen.
$ \text{..................................................}
528
592
587
(a) The range of ten numbers is 30. The range of eight other numbers is 13.
Find the smallest possible value of the range of all eighteen numbers.
.................................................. [1]
(b) The mean of twelve numbers is 25. The mean of ten of these numbers is 16.
Find the mean of the other two numbers.
.................................................. [2]
563
599
584
Factorise fully.
(a) \((3y)^2 - 16\) ................................................................. [1]
(b) \(15ab - 1 - 3a + 5b\) .......................................................... [2]
594
569
596
Shade the given region on the Venn diagram.
(a) $A' \cap B'$
[1]
(b) $(A \cup B')'$
[1]
592
515
600
An archer shoots three arrows at a target.
The probability that she hits the target with each arrow is $\frac{7}{10}$.
Find the probability she hits the target exactly twice.
511
590
582
Rearrange the equation to make $x$ the subject.
$A + 4y = A(2 - 3x)$
$x = \text{.............................................}$
559
500
545
The point $A$ has coordinates $(2, 3)$ and the point $B$ has coordinates $(6, 5)$.
The point $C$ lies on the line $AB$.
The point $D$ has coordinates $(2, 5.5)$.
$CD$ is perpendicular to $AB$.
Find the coordinates of $C$.
( ext{.....................} , ext{.....................} )
598
500
564
