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Swali 1 Ripoti
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Swali 2 Ripoti
If \( \cos \theta = \frac{12}{13} \). Find \( \theta + \cos^2 \theta \)
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Swali 3 Ripoti
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Swali 4 Ripoti
In the figure, YXZ = \(30^\circ\), XYZ = \(105^\circ\) and XY = 8cm. Calculate YZ
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Swali 5 Ripoti
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Swali 6 Ripoti
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Swali 7 Ripoti
If the heights of two circular cylinder are in the ratio 2 : 3 and their volumes?
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h1h2
= 23
h2 = 2h13
r1r2
= 98
r2 = 9r18
v1 = π
(9r18
)2(2h13
)
= π
r1 2h1 x 2732
v = πr12h1×2732πr12h1
= 2732
v2 : v1 = 27 : 32
Swali 8 Ripoti
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Swali 10 Ripoti
What is the equation of the quadratic function represented by the graph?
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i.e. B where the graph touches the graph touches the x-axis y = 0
x2 - x - 2 = 0 = (x + 1)(x - 2) = 0
Hence roots of the equation are -1 and 2 as shown in the graph
Swali 12 Ripoti
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Swali 13 Ripoti
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Swali 14 Ripoti
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Swali 15 Ripoti
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Swali 16 Ripoti
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Swali 17 Ripoti
In triangles XYZ and XQP, XP = 4cm, XQ = 5cm and PQ = QY = 3cm. Find ZY
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Swali 18 Ripoti
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Swali 19 Ripoti
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Swali 20 Ripoti
If \(a = 2\), \(b = -2\) and \(c = -\frac{1}{2}\), evaluate \((ab^2 - bc^2)(a^2c - abc)\)
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Swali 21 Ripoti
Find the solution of the equation \(x - 8\sqrt{x} + 15 = 0\)
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Swali 22 Ripoti
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Swali 23 Ripoti
Simplify \( \left(\frac{1}{x^{-1}} + \frac{1}{y^{-1}}\right)^{-1} \)
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Swali 24 Ripoti
Three children shared a basket of mangoes in such a way that the first child took \( \frac{1}{4} \) of the mangoes and the second \( \frac{3}{4} \) of the remainder. What fraction of the mangoes did the third child take?
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Swali 25 Ripoti
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Swali 26 Ripoti
Given that \(x^2 + y^2 + z^2 = 194\), calculate z if \(x = 7\) and \(\sqrt{y} = 3\)
Maelezo ya Majibu
Given that x2 + y2 + z2 = 194, calculate z if x = 7 and √y
= 3
x = 7
∴ x2 = 49
√y
= 3
∴ y2 = 81 = x2 + y2 + z2 = 194
49 + 81 + z2 = 194
130 + z2 = 194
z2 = 194 - 130
= 64
z = √64
= 8
Swali 27 Ripoti
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Swali 28 Ripoti
If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\)
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Swali 29 Ripoti
Find the curved surface area of the frustrum in the figure.
Maelezo ya Majibu
6x = 4(6 + x) = 24 + 4x
x = 12 = c = πRL−πL
= π(6)√182+62−π×4×√122+42
= 6π√360−4π√160
= 36π√10−16π√10
= 20π√10 cm2
Swali 30 Ripoti
Simplify \( \frac{1}{x-2} + \frac{1}{x+2} + \frac{2x}{x^2-4} \)
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Swali 31 Ripoti
In the figure, PQR is a semicircle. Calculate the area of the shaded region.
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Swali 32 Ripoti
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Swali 33 Ripoti
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Swali 34 Ripoti
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Swali 35 Ripoti
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Swali 36 Ripoti
Below are the scores of a group of students in a test:
| Scores | 1 | 2 | 3 | 4 | 5 | 6 |
| No. of students | 1 | 4 | 5 | 6 | \(x\) | 2 |
If the average scores is 3.5, find the value of x.
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Swali 37 Ripoti
Simplify \(4\frac{3}{4} - 6\frac{1}{4}\)
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Swali 38 Ripoti
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Swali 39 Ripoti
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Swali 40 Ripoti
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Swali 41 Ripoti
Simplify \( \sqrt{160r^2} + \sqrt{71r^4} + \sqrt{100r^2} \)
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Swali 42 Ripoti
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Swali 43 Ripoti
Simplify and express in standard form \( \frac{0.00275 \times 0.0064}{0.025 \times 0.08} \)
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Swali 44 Ripoti
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Swali 46 Ripoti
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Je, ungependa kuendelea na hatua hii?