No questions found
Sara and Klaus share some money in the ratio 5 : 4. Klaus receives $48.
Work out how much Sara receives.
$ .............................................. [2]
542
558
575
From the list above, write down the letter which has
line symmetry only, ...........................................
line symmetry and rotational symmetry, ....................................
rotational symmetry only. .......................................
575
573
600
The list shows the quiz scores of 13 students.
11 11 11 12 12 13 14 15 15 16 16 19 19
Find
(a) the mode, ............................................... [1]
(b) the median, ............................................. [1]
(c) the upper quartile. ..................................... [1]
580
524
514
Given the equation $v = u + at$:
(a) Find $v$ when $u = 5$, $a = -1$ and $t = 1.5$.
$v =$ ext{.................................} [2]
(b) Rearrange the formula to write $a$ in terms of $t$, $u$ and $v$.
$a =$ ext{.................................} [2]
550
519
533
Work out $\frac{8}{9} - \frac{7}{18}$, giving your answer in its lowest terms.
547
558
590
The interior angle of a regular polygon is 176°.
Work out how many sides the polygon has.
529
540
540
A, B, C \text{ and } D \text{ lie on the circle, centre } O.
Work out the value of \( y \).
\( y = \text{...............................} \) \quad [3]
556
530
537
On each Venn diagram, shade the area indicated.
[Image_1: (P \cap Q)']
[Image_2: W \cap V' \cap X']
554
544
528
Multiply out the brackets and simplify.
$(2\sqrt{3} - 1)(\sqrt{3} + 2)$
590
517
506
x is positive and $x^8 = 3^4$.
Find the exact value of x.
$x = \text{...............................}$ [2]
507
545
512
The roots of the quadratic equation $x^2 + ax + b = 0$ are 5 and -2.
Find the value of $a$ and the value of $b$.
$a = \text{.........................................}$
$b = \text{.........................................}$ [3]
576
527
581
y is inversely proportional to the square root of \( (x - 3) \).
When \( x = 7, y = 3 \).
Find \( y \) in terms of \( x \).
\[ y = \text{..............................................} \] [2]
572
551
508
The diagram shows the graph of $y = a \sin(bx)^{\circ}$, for $0 \leq x \leq 90$.
Find the value of $a$ and the value of $b$.
$a = \text{.................................}$
$b = \text{.................................}$
557
587
506
(a) $2 \log 3 = \log k$
Find the value of $k$.
$k =$ ............................................................ [1]
(b) $\log 5 - \log 2 = \log p$
Find the value of $p$.
$p =$ ............................................................ [1]
502
539
569
