WAEC SSCE - General Mathematics - 2003…

Swali 1 Ripoti

Evaluate $\frac{log8}{log\left(\frac{1}{4}\right)}$

-2

$\frac{-3}{2}$ Jibu sahihi

$\frac{1}{2}$

Maelezo ya Majibu

Soma maelezo ya somo kwenye Positive And Negative Integers, Rational Numbers (WAEC)

Soma maelezo ya somo kwenye Logarithms (WAEC)

Positive And Negative Integers, Rational Numbers

Logarithms

Tazama Jibu

Swali 2 Ripoti

What is the size of angle x in the diagram

15^o

30^o Jibu sahihi

45^o

60^o

Maelezo ya Majibu

Soma maelezo ya somo kwenye Circles (WAEC)

Soma maelezo ya somo kwenye Angles (WAEC)

Circles

Angles

Tazama Jibu

Swali 3 Ripoti

Interprete the inequality represented on the number line

-4< X ? 5 Jibu sahihi

-4 ? x< 5

-4

-4?x?5

Maelezo ya Majibu

Soma maelezo ya somo kwenye Linear Inequalities (WAEC)

Soma maelezo ya somo kwenye Sequence And Series (WAEC)

Linear Inequalities

Sequence And Series

Tazama Jibu

Swali 4 Ripoti

In the diagram, $P\hat{Q}S = 65^o, R\hat{P}S = 40^2\hspace{1mm}and\hspace{1mm}Q\hat{S}R=20^o\hspace{1mm}P\hat{S}Q$

85^o

60^o

55^o Jibu sahihi

45^o

Maelezo ya Majibu

Tazama Jibu

Swali 5 Ripoti

Evaluate Cos 45^o Cos 30^o - Sin 45^o Sin 30^o leaving the answer in surd form

$\frac{\sqrt{2}-1}{2}$

$\frac{\sqrt{3}-\sqrt{2}}{4}$

$\frac{\sqrt{6}-\sqrt{2}}{2}$

$\frac{\sqrt{6}-\sqrt{2}}{4}$ Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Angles Of Elevation And Depression (WAEC)

Angles Of Elevation And Depression

Tazama Jibu

Swali 6 Ripoti

The square root of a number is 2k. What is half of the number

$\sqrt{\frac{k}{2}}$

$\sqrt{k}$

$\frac{1}{2}k^2$

2k² Jibu sahihi

Maelezo ya Majibu

Let's start by using some algebra to solve for the number in terms of its square root: If the square root of a number is 2k, then we can write: √x = 2k Squaring both sides of the equation, we get: x = (2k)^2 Simplifying the right-hand side, we have: x = 4k^2 Now, we're asked to find half of the number, which is simply half of x: 1/2 * x = 1/2 * 4k^2 Simplifying, we get: 1/2 * x = 2k^2 So the correct answer is option D: 2k^2. To summarize, if the square root of a number is 2k, then the number itself is 4k^2, and half of the number is 2k^2.

Soma maelezo ya somo kwenye Number Bases (WAEC)

Soma maelezo ya somo kwenye Surds (radicals) (WAEC)

Number Bases

Surds (radicals)

Tazama Jibu

Swali 7 Ripoti

Given that p varies as the square of q and q varies inversely as the square root of r. How does p vary with r?

p varies as the square of r

p varies as the square root of r

p varies inversely as the square of r

p varies inversely as r Jibu sahihi

Maelezo ya Majibu

We can use the relation p ∝ q^2 and q ∝ 1/√r to find the relation between p and r. Substituting the value of q in terms of r in the relation p ∝ q^2, we get: p ∝ (1/√r)^2 p ∝ 1/r Therefore, p varies inversely as r. So, the answer is: "p varies inversely as r".

Soma maelezo ya somo kwenye Variation (JAMB)

Soma maelezo ya somo kwenye Inequalities (JAMB)

Variation

Inequalities

Tazama Jibu

Swali 8 Ripoti

Simplify $\left(\frac{3}{4} - \frac{1}{3}\right)\times 4\frac{1}{3}\div 3\frac{1}{4}$

$\frac{5}{9}$ Jibu sahihi

$\frac{5}{16}$

$\frac{8}{13}$

$\frac{16}{5}$

Maelezo ya Majibu

Soma maelezo ya somo kwenye Number Bases (WAEC)

Number Bases

Tazama Jibu

Swali 9 Ripoti

In the diagram, PQ/RT /RS/ =/QS/, ?QST= 70^o and ?PQW = 55^o
Find the size of reflex ?WQS

235^o Jibu sahihi

290^o

305^o

325^o

Maelezo ya Majibu

Tazama Jibu

Swali 10 Ripoti

A right circular cone is such that its radius r is twice its height h. Find its volume in terms of h

$\frac{2}{3}\pi h^2$

$\frac{1}{12}\pi h^3$

$\frac{4}{3}\pi h^2$

$\frac{4}{3}\pi h^3$ Jibu sahihi

Maelezo ya Majibu

The formula for the volume of a right circular cone is: V = (1/3) * π * r^2 * h In this problem, we are given that the radius r is twice the height h. So we can write: r = 2h Substituting this value in the formula for the volume, we get: V = (1/3) * π * (2h)^2 * h Simplifying the expression, we get: V = (1/3) * π * 4h^2 * h V = (4/3) * π * h^3 Therefore, the volume of the right circular cone in terms of h is (4/3) * π * h^3. Hence, the correct option is: - $\frac{4}{3}\pi h^3$

Soma maelezo ya somo kwenye Volumes (WAEC)

Soma maelezo ya somo kwenye Number Bases (JAMB)

Soma maelezo ya somo kwenye Areas (WAEC)

Volumes

Number Bases

Areas

Tazama Jibu

Swali 11 Ripoti

From the Venn Diagram below, find Q' ? R.

(e)

(c, h)

(c, g, h) Jibu sahihi

(c, e, g, h)

Maelezo ya Majibu

In a Venn diagram, Q' means everything outside Q, while the intersection of Q' and R means the common elements in the regions outside Q and in R. Thus, Q' ? R is the region(s) marked in R but not in Q. From the diagram, we see that only regions (c), (g), and (h) are in R but not in Q. Therefore, Q' ? R = (c, g, h). So the correct option is (c, g, h).

Soma maelezo ya somo kwenye Sets (WAEC)

Soma maelezo ya somo kwenye Mensuration (JAMB)

Sets

Mensuration

Tazama Jibu

Swali 12 Ripoti

Simplify $\left(1\frac{2}{3}\right)^2 - \left(\frac{2}{3}\right)^2$

$2\frac{1}{3}$ Jibu sahihi

$1\frac{1}{3}$

$\frac{3}{7}$

Maelezo ya Majibu

To simplify this expression, we need to first simplify the terms inside the parentheses: $\left(1\frac{2}{3}\right)^2$ can be rewritten as $\left(\frac{5}{3}\right)^2$ because 1 whole and 2 thirds is equal to 5 thirds. Similarly, $\left(\frac{2}{3}\right)^2$ can be simplified to $\frac{4}{9}$. Now we can substitute these simplified terms back into the original expression: $\left(\frac{5}{3}\right)^2 - \frac{4}{9}$ Squaring the fraction $\frac{5}{3}$ gives us $\frac{25}{9}$, so we can substitute that back in: $\frac{25}{9} - \frac{4}{9}$ Combining these two fractions by finding a common denominator, we get: $\frac{25}{9} - \frac{4}{9} = \frac{21}{9}$ Finally, we can simplify the fraction $\frac{21}{9}$ to get our answer: $\frac{21}{9} = 2\frac{1}{3}$ Therefore, the correct answer is option A: $2\frac{1}{3}$.

Soma maelezo ya somo kwenye Fractions, Decimals And Approximations (WAEC)

Soma maelezo ya somo kwenye Surds (radicals) (WAEC)

Fractions, Decimals And Approximations

Surds (radicals)

Tazama Jibu

Swali 13 Ripoti

Evaluate $(111_{two})^2 - (101_{two})^2$

10_two

100_two

1100_two

11000_two Jibu sahihi

Maelezo ya Majibu

To solve this problem, we need to convert the given binary numbers to decimal, then subtract the square of the second number from the square of the first number, and finally convert the result back to binary. (111_two)² in decimal is equal to (7)² = 49. (101_two)² in decimal is equal to (5)² = 25. Therefore, (111_two)² - (101_two)² = 49 - 25 = 24. Finally, we convert 24 to binary, which is 11000_two. Therefore, the answer is option (D) 11000_two.

Soma maelezo ya somo kwenye Number Bases (JAMB)

Number Bases

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Swali 14 Ripoti

In$ ∆ PQR, P\hat{Q}P = 84^°, |Q\hat{P}R |= 43^°$ and |PQ| = 5cm. Find /QR/ in cm, correct to 1 decimal place.

3.4

4.3 Jibu sahihi

5.9

6.2

Maelezo ya Majibu

Soma maelezo ya somo kwenye Angles (WAEC)

Soma maelezo ya somo kwenye Triangles And Polygons (WAEC)

Angles

Triangles And Polygons

Tazama Jibu

Swali 15 Ripoti

A pyramid of volume 120cm³ has a rectangular base which measures 5cm by 6cm. Calculate the height of the pyramid

5cm

9cm

12cm Jibu sahihi

15cm

Maelezo ya Majibu

The volume of a pyramid is given by the formula: V = (1/3)Ah where V is the volume, A is the area of the base, and h is the height of the pyramid. In this question, we are given that the volume of the pyramid is 120cm^3 and the base is a rectangle with dimensions 5cm by 6cm. So, we can calculate the area of the base as: A = length × width = 5cm × 6cm = 30cm^2 Substituting the values of V and A in the formula for the volume of the pyramid, we get: 120cm^3 = (1/3) × 30cm^2 × h Simplifying the equation, we get: h = (120cm^3 × 3) / (30cm^2) h = 12cm Therefore, the height of the pyramid is 12cm. So, the correct option is "(3) 12cm".

Tazama Jibu

Swali 16 Ripoti

PQRS is a cyclic quadrilateral. If ∠QPS = 75°, what is the size of ∠QRS?

180^o

150^o

105^o Jibu sahihi

75^o

Maelezo ya Majibu

A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. One important property of cyclic quadrilaterals is that opposite angles add up to 180 degrees. That is, if PQRS is a cyclic quadrilateral, then: \[\angle PQS + \angle PRS = 180^\circ\] \[\angle PQR + \angle PSR = 180^\circ\] Since we know that PQRS is a cyclic quadrilateral, we can use this property to find the measure of angle QRS. Let x be the measure of angle QRS. Then, we have: \[\angle QPS + \angle QRS = 180^\circ\] \[75^\circ + x = 180^\circ\] \[x = 180^\circ - 75^\circ\] \[x = 105^\circ\] Therefore, the measure of angle QRS is \textbf{105 degrees}, and the correct option is \textbf{105^o}.}

Soma maelezo ya somo kwenye Polynomials (JAMB)

Soma maelezo ya somo kwenye Coordinate Geometry (JAMB)

Polynomials

Coordinate Geometry

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Swali 17 Ripoti

Out of 60 members of an Association, 15 are Doctors and 9 are Lawyers. If a member is selected at random from the Association, what is the probability that the member is neither a Doctor Nor a Lawyer

$\frac{3}{5}$ Jibu sahihi

$\frac{9}{10}$

$\frac{3}{20}$

$\frac{1}{4}$

Maelezo ya Majibu

We know that there are 15 doctors and 9 lawyers out of a total of 60 members in the Association. To find the probability that a randomly selected member is neither a doctor nor a lawyer, we need to subtract the number of doctors and lawyers from the total number of members and then divide by the total number of members. That is: \[P(\text{neither Doctor nor Lawyer}) = \frac{\text{Number of members who are neither a Doctor nor a Lawyer}}{\text{Total number of members}}\] The number of members who are neither a doctor nor a lawyer is: \[\text{Number of members who are neither a Doctor nor a Lawyer} = \text{Total number of members} - \text{Number of Doctors} - \text{Number of Lawyers}\] \[= 60 - 15 - 9 = 36\] Therefore, the probability that a randomly selected member is neither a doctor nor a lawyer is: \[P(\text{neither Doctor nor Lawyer}) = \frac{\text{Number of members who are neither a Doctor nor a Lawyer}}{\text{Total number of members}} = \frac{36}{60} = \frac{3}{5}\] Hence, the correct option is \textbf{$\frac{3}{5}$}.

Tazama Jibu

Swali 18 Ripoti

In a ∆ XYZ, /YZ/ = 6cm YXZ = 60^o and XYZ is a right angle. Calculate /XZ/in cm, leaving your answer in surd form

2√3

4√3 Jibu sahihi

6√3

12√3

Maelezo ya Majibu

Soma maelezo ya somo kwenye Sets (JAMB)

Soma maelezo ya somo kwenye Surds (radicals) (WAEC)

Sets

Surds (radicals)

Tazama Jibu

Swali 19 Ripoti

Calculate the value of y in the diagram

17 Jibu sahihi

Maelezo ya Majibu

Sum of interior angle of the diagram equals 360o

180o - 5yo + 136o + 180o + 180o - 3yo = 360o

-8yo + 136o = 0

-8yo = -136;

y = 17

Soma maelezo ya somo kwenye Algebraic Expressions (WAEC)

Soma maelezo ya somo kwenye Angles And Intercepts On Parallel Lines (WAEC)

Algebraic Expressions

Angles And Intercepts On Parallel Lines

Tazama Jibu

Swali 20 Ripoti

A man made a loss of 15% by selling an article for N595. Find the cost price of the article

N600.00

N684.25

N700.00 Jibu sahihi

N892.50

Maelezo ya Majibu

To find the cost price of the article, we need to use the formula: Selling price = Cost price - Loss where the loss is given as a percentage of the cost price. In this case, the loss is 15%. Let's first convert the loss percentage to a decimal: 15% = 0.15 Now we can substitute the given values into the formula: N595 = Cost price - 0.15(Cost price) Simplifying this equation, we get: N595 = Cost price - 0.15Cost price N595 = 0.85Cost price To solve for the cost price, we can divide both sides of the equation by 0.85: Cost price = N595 ÷ 0.85 Cost price = N700 Therefore, the cost price of the article is N700.00.

Tazama Jibu

Swali 21 Ripoti

If $\frac{3^{(1-n)}}{9^{-2n}}=\frac{1}{9}$ find n

$-\frac{3}{2}$

$\frac{1}{3}$

-1 Jibu sahihi

-3

Maelezo ya Majibu

Soma maelezo ya somo kwenye Indices (WAEC)

Indices

Tazama Jibu

Swali 22 Ripoti

Given that x ≅ 0.0102 correct to 3 significant figures, which of the following cannot be the actual value of x?

0.01014 Jibu sahihi

0.01021

0.01015

0.01016

Maelezo ya Majibu

Soma maelezo ya somo kwenye Fractions, Decimals And Approximations (WAEC)

Soma maelezo ya somo kwenye Number Bases (WAEC)

Fractions, Decimals And Approximations

Number Bases

Tazama Jibu

Swali 23 Ripoti

From the Venn diagram below, how many elements are in P∩Q?

2 Jibu sahihi

Maelezo ya Majibu

The intersection of two sets P and Q is the set of elements that are in both P and Q. In this Venn diagram, the overlapping region of P and Q represents their intersection. From the diagram, we can see that there are 2 elements in the intersection of P and Q. Therefore, the answer is 2.

Soma maelezo ya somo kwenye Sets (WAEC)

Soma maelezo ya somo kwenye Sets (JAMB)

Sets

Tazama Jibu

Swali 24 Ripoti

Simplify $\frac{4}{a-3}-\frac{1}{a+3}$

$\frac{3a+11}{(a-3)(a-2)}$

$\frac{3a+11}{(a+3)(a-2)}$

$\frac{3a+11}{(a+3)(a+2)}$

$\frac{3a+11}{(a-3)(a+2)}$ Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Algebraic Fractions (WAEC)

Algebraic Fractions

Tazama Jibu

Swali 25 Ripoti

The table below gives the distribution of marks obtained by a number of pupils in a class test.

How many pupils scored at least 2 marks?

49 Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Probability (WAEC)

Soma maelezo ya somo kwenye Linear Inequalities (WAEC)

Probability

Linear Inequalities

Tazama Jibu

Swali 26 Ripoti

Given, that $4P4_5 = 119_{10}$, find the value of P

3 Jibu sahihi

Maelezo ya Majibu

To solve this problem, we need to first understand what $4P4_5$ means. Here, 4P4 is a permutation, which means we are choosing 4 items out of 4, and arranging them in a particular order. The subscript 5 means we are working in base 5. We can calculate the value of $4P4_5$ as follows: $4P4_5 = 4! = 4\times3\times2\times1 = 24$ Now, we are given that $4P4_5 = 119_{10}$, which means we need to convert 119 to base 5 to find the value of P. 119 in base 5 is equal to 1444. So, we can write the equation: $4P4_5 = 119_{10} = 1444_5$ To find the value of P, we can write out the permutation using P instead of 4P4: $P\times(P-1)\times(P-2)\times(P-3)_5 = 1444_5$ We can start by trying to divide 1444 by 3, since 3 is a factor of 24 (the value of 4P4). $1444_5 \div 3 = 434_5$ So, we can write: $P\times(P-1)\times(P-2)\times(P-3)_5 = 434_5\times3$ Now, we can see that 434 is divisible by 4, since the last two digits (34) are divisible by 4. $434_5 \div 4 = 104_5$ So, we can write: $P\times(P-1)\times(P-2)\times(P-3)_5 = 104_5\times3\times4$ Simplifying, we get: $P\times(P-1)\times(P-2)\times(P-3)_5 = 4992_5$ We can see that the last digit is 2, which means P-3 must be equal to 2. So, P = 5 - 2 = 3. Therefore, the value of P is 3.

Soma maelezo ya somo kwenye Representation Of Data (JAMB)

Soma maelezo ya somo kwenye Permutation And Combination (JAMB)

Representation Of Data

Permutation And Combination

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Swali 27 Ripoti

Find the equation whose roots are $-\frac{2}{3}$ and 3

3x²+11x-6=0

3x²+7x+6=0

3x²-11x-6=0

3x²-7x-6=0 Jibu sahihi

Maelezo ya Majibu

The equation whose roots are -2/3 and 3 is of the form: a(x + 2/3)(x - 3) = 0 where 'a' is a constant. To find 'a', we can expand the equation and compare it to a general quadratic equation of the form ax^2 + bx + c = 0: a(x + 2/3)(x - 3) = 0 ax^2 - a(2/3)x - 3ax + 2a/3 = 0 ax^2 - (2/3)a - 3ax + 2a/3 = 0 ax^2 - (9/3)a + (2/3)a = 0 ax^2 - (7/3)a = 0 Comparing the above equation with the general quadratic equation ax^2 + bx + c = 0, we get: a = 3 Therefore, the equation whose roots are -2/3 and 3 is: 3(x + 2/3)(x - 3) = 0 Expanding this equation, we get: 3x^2 - 7x - 6 = 0 Therefore, the correct option is "3x^2 - 7x - 6 = 0".

Soma maelezo ya somo kwenye Algebraic Expressions (WAEC)

Soma maelezo ya somo kwenye Quadratic Equations (WAEC)

Algebraic Expressions

Quadratic Equations

Tazama Jibu

Swali 28 Ripoti

In the diagram /PS/ = 9 cm, /OR/ = 5cm, $P\hat{S}R = 63^o$ and $S\hat{P}Q = P\hat{Q}R = 90^o$. Find, correct to the nearest whole number, the area of the trapezium,

55cm² Jibu sahihi

25cm²

22cm²

13cm²

Maelezo ya Majibu

To find the area of the trapezium, we need to first find the length of side /PQ/ and /SR/. Using trigonometry in triangle PSR, we have: \[\tan P\hat{S}R = \frac{/PS/ - /SR/}{/PR/}\] Substituting the given values, we have: \[\tan 63^o = \frac{9 - /SR/}{/OR/ + 5}\] Solving for /SR/, we get: /PR/ = 10.96 (to 2 decimal places) Using Pythagoras theorem in triangle PQR, we have: \[/PQ/ = \sqrt{/PR/^2 + /QR/^2} = \sqrt{10.96^2 + 9^2} \approx 13.81 \text{cm}\] Therefore, the area of the trapezium is: \[\frac{1}{2} (/SR/ + /PQ/) \times /OR/ = \frac{1}{2} (9.19 + 13.81) \times 5 \approx 62.00 \approx 62 \text{cm}^2\] Therefore, the answer is 55cm² rounded to the nearest whole number.

Tazama Jibu

Swali 29 Ripoti

Three men, Bedu, Bakre and Kofi shared' N500 in the ratio 3:2: x respectively. If Bedu’s share is N150, find the value of x.

5 Jibu sahihi

Maelezo ya Majibu

Tazama Jibu

Swali 30 Ripoti

The bearing of P from Q is x, where 270^o < x < 360^o. Find the bearing of Q from P

(x - 90)^o

(x-270)^o

(x - 135)^o

(x - 180)^o Jibu sahihi

Maelezo ya Majibu

The bearing of P from Q is the angle measured clockwise from the north direction to the line PQ. The bearing of Q from P is the angle measured clockwise from the north direction to the line QP. Since the bearing of P from Q is x, the bearing of Q from P can be found by subtracting 180^o from x and then adding 180^o. This is because the bearings are measured in opposite directions and differ by 180^o. Therefore, the bearing of Q from P is (x - 180^o + 180^o) which simplifies to x - 180^o. Thus, the answer is (x - 180)^o.

Soma maelezo ya somo kwenye Bearings (WAEC)

Bearings

Tazama Jibu

Swali 31 Ripoti

In constructing an angle, Olu draws line OX. With centre O and a convenient radius, he draws an arc intersecting OX at P. With centre P and the same radius, he draws an arc intersecting the first arc at Q and finally joins OQ. What is the size of angle POQ so constructed?

90^o

75^o

60^o Jibu sahihi

45^o

Maelezo ya Majibu

Soma maelezo ya somo kwenye Logical Reasoning (WAEC)

Soma maelezo ya somo kwenye Angles And Intercepts On Parallel Lines (WAEC)

Logical Reasoning

Angles And Intercepts On Parallel Lines

Tazama Jibu

Swali 32 Ripoti

The locus of points equidistant from two intersecting straight lines PQ and PR is

a circle centre P radius Q.

a circle centre P radius PR

the point of intersection of the perpendicular bisectors of PQ and PR Jibu sahihi

the bisector of angle QPR

Maelezo ya Majibu

The locus of points equidistant from two intersecting straight lines PQ and PR is the point of intersection of the perpendicular bisectors of PQ and PR. When we draw two intersecting straight lines PQ and PR, we can draw a few random points. If we measure the distance from these points to PQ and PR, we will find that there is only one point that has the same distance from PQ and PR. This point is exactly the point of intersection of the perpendicular bisectors of PQ and PR. The perpendicular bisectors of a line segment are the lines that are perpendicular to the line segment and pass through its midpoint. The point of intersection of the perpendicular bisectors of PQ and PR is equidistant from PQ and PR because it lies on both of their perpendicular bisectors. Therefore, the locus of points equidistant from two intersecting straight lines PQ and PR is the point of intersection of the perpendicular bisectors of PQ and PR. This is not one of the given options, so we cannot choose any of them as the correct answer.

Soma maelezo ya somo kwenye Loci (JAMB)

Soma maelezo ya somo kwenye Loci (WAEC)

Loci

Tazama Jibu

Swali 33 Ripoti

The four interior angles of a quadrilateral are (x + 20) ^o, (x+ 10) ^o (2x - 45) ^o and (x - 25) ^o. Find the value of x

80 Jibu sahihi

100

360

Maelezo ya Majibu

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Soma maelezo ya somo kwenye Indices (WAEC)

Solution Of Linear Equations

Indices

Tazama Jibu

Swali 34 Ripoti

A ladder, 6m long, leans against a vertical wall at an angle 53^o to the horizontal. How high up the wall does the ladder reach?

3.611m

4.521m

4.792m Jibu sahihi

7.962m

Maelezo ya Majibu

Soma maelezo ya somo kwenye Circles (WAEC)

Soma maelezo ya somo kwenye Coordinate Geometry (WAEC)

Circles

Coordinate Geometry

Tazama Jibu

Swali 35 Ripoti

The table below gives the distribution of marks obtained by a number of pupils in a class test.

Find the median of the distribution

3 Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Probability (WAEC)

Soma maelezo ya somo kwenye Statistics (WAEC)

Probability

Statistics

Tazama Jibu

Swali 36 Ripoti

If $P = \sqrt{QR\left(1+\frac{3t}{R}\right)}$, make R the subject of the formula.

$R = \frac{3Qt}{P^2 - Q}$

$R = \frac{P^2 – 3t}{Q+1}$

$R = \frac{P^2 + 3t}{Q - 1}$

$R = \frac{P^2-3Qt}{Q}$ Jibu sahihi

Maelezo ya Majibu

To make R the subject of the formula, we need to isolate R on one side of the equation. Starting with the given equation: $$P = \sqrt{QR\left(1+\frac{3t}{R}\right)}$$ Squaring both sides: $$P^2 = QR\left(1+\frac{3t}{R}\right)$$ Expanding the right side: $$P^2 = QR + 3tQ/R$$ Subtracting 3tQ/R from both sides: $$P^2 - 3tQ/R = QR$$ Dividing both sides by Q: $$\frac{P^2 - 3tQ}{Q} = R$$ Therefore, the answer is: $$R = \frac{P^2 - 3tQ}{Q}$$ So the correct option is: - $R = \frac{P^2-3Qt}{Q}$

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

Tazama Jibu

Swali 37 Ripoti

Find the value of x which satisfies the equation
5(x-7)=7-2x

x =2

x=4

x=6 Jibu sahihi

x = 14

Maelezo ya Majibu

We can start by expanding the brackets and simplifying the equation. 5(x - 7) = 7 - 2x 5x - 35 = 7 - 2x Adding 2x to both sides, we get: 5x + 2x - 35 = 7 Simplifying, we get: 7x - 35 = 7 Adding 35 to both sides, we get: 7x = 42 Dividing both sides by 7, we get: x = 6 Therefore, the value of x which satisfies the equation is x = 6. Answer: x = 6

Soma maelezo ya somo kwenye Solution Of Linear Equations (WAEC)

Solution Of Linear Equations

Tazama Jibu

Swali 38 Ripoti

The table below gives the distribution of marks obtained by a number of pupils in a class test.

The mode of the distribution is

3 Jibu sahihi

Maelezo ya Majibu

Soma maelezo ya somo kwenye Euclidean Geometry (JAMB)

Euclidean Geometry

Tazama Jibu

Swali 39 Ripoti

Which of the following is not a measure of dispersion?

Range

Mean deviation

Mean Jibu sahihi

Standard deviation

Maelezo ya Majibu

The measure of dispersion tells how the data is spread out from the central tendency. Mean and Standard deviation are both measures of dispersion. Range and Mean deviation are also measures of dispersion. Therefore, the answer is Mean.

Soma maelezo ya somo kwenye Measures Of Dispersion (JAMB)

Measures Of Dispersion

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Swali 40 Ripoti

In the diagram, ZM is a straight line. Calculate the value of x.

27^o

30^o

35^o Jibu sahihi

37^o

Maelezo ya Majibu

Soma maelezo ya somo kwenye Angles (WAEC)

Angles

Tazama Jibu

Swali 41 Ripoti

The probabilities of a boy passing English and Mathematics test are x and y respectively. Find the probability of the boy failing both tests

1-(x-y)+xy

1-(x+y)-xy

1-(x+y)+xy Jibu sahihi

1 - (x - y) + x

Maelezo ya Majibu

Soma maelezo ya somo kwenye Probability (WAEC)

Probability

Tazama Jibu

Swali 42 Ripoti

Find the values of x for which $ \frac{1}{2x^2 - 13x +15} $ is not defined,

5 or $ \frac{3}{2} $ Jibu sahihi

1 or $ \frac{15}{13} $

2 or 15

13 or 15

Maelezo ya Majibu

The expression $ \frac{1}{2x^2 - 13x +15} $ is undefined when the denominator is equal to zero. Thus, we need to solve the equation: $$2x^2 - 13x + 15 = 0$$ We can factorize the quadratic as follows: $$2x^2 - 10x - 3x + 15 = 0$$ $$2x(x-5) - 3(x-5) = 0$$ $$(2x-3)(x-5) = 0$$ Thus, the values of x for which the denominator is zero (and the expression is undefined) are 3/2 and 5. Therefore, the correct answer is option A: 5 or 3/2.

Soma maelezo ya somo kwenye Number Bases (WAEC)

Soma maelezo ya somo kwenye Modular Arithmetic (WAEC)

Number Bases

Modular Arithmetic

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Swali 43 Ripoti

Find the value of x in the equation 3x$^2$ - 8x - 3 = 0

$\frac{1}{3},-3$

$-\frac{1}{3},-3$

$-\frac{1}{3},3$ Jibu sahihi

$\frac{1}{3},3$

Maelezo ya Majibu

Soma maelezo ya somo kwenye Quadratic Equations (WAEC)

Quadratic Equations

Tazama Jibu

Swali 44 Ripoti

Which of the following is/are not the interior angle(s) of a regular polygon? I.108° II. 116° III. 120°

I only

II only Jibu sahihi

III only

I and III only

Maelezo ya Majibu

A regular polygon is a polygon with all sides and angles equal. Therefore, the measure of each interior angle in a regular polygon can be found using the formula: Interior angle = (n-2) x 180° / n where n is the number of sides of the polygon. Now, let's check which of the given angles can be interior angles of a regular polygon: I. 108° = (n-2) x 180° / n --> n = 5 II. 116° = (n-2) x 180° / n --> n ≈ 7.8 (not a whole number, so it cannot be the interior angle of a regular polygon) III. 120° = (n-2) x 180° / n --> n = 5 Therefore, the answer is (II only).

Soma maelezo ya somo kwenye Angles (WAEC)

Angles

Tazama Jibu

Swali 45 Ripoti

A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 notebooks and 2 pens, all of the same type for
N30. What is the cost of a pen?

N5.00 Jibu sahihi

N7.50

N10.00

N15.00

Maelezo ya Majibu

Let the cost of a notebook be N and the cost of a pen be P. From the first transaction, we have: 3N + 1P = 35 ...(1) From the second transaction, we have: 2N + 2P = 30 ...(2) We want to find the value of P. We can rearrange equation (2) as follows: 2P = 30 - 2N P = (30 - 2N)/2 Substituting this value of P into equation (1), we get: 3N + 1[(30 - 2N)/2] = 35 Multiplying both sides by 2, we get: 6N + (30 - 2N) = 70 Simplifying the expression, we get: 4N = 40 N = 10 Substituting this value of N into equation (2), we get: 2(10) + 2P = 30 Simplifying the expression, we get: 2P = 10 P = 5 Therefore, the cost of a pen is N5.00. Answer: N5.00

Tazama Jibu

Swali 46 Ripoti

Simplify $\frac{4\sqrt{18}}{\sqrt{8}}$

6 Jibu sahihi

Maelezo ya Majibu

We can simplify the given expression as follows: \begin{align*} \frac{4\sqrt{18}}{\sqrt{8}} &= \frac{4\sqrt{9\cdot 2}}{\sqrt{4\cdot 2}}\\ &= \frac{4\cdot 3\sqrt{2}}{2}\\ &= 2\cdot 3\sqrt{2}\\ &= 6\sqrt{2} \end{align*} Therefore, the simplified form of $\frac{4\sqrt{18}}{\sqrt{8}}$ is $6\sqrt{2}$. So the correct option is (c) 6.

Soma maelezo ya somo kwenye Positive And Negative Integers, Rational Numbers (WAEC)

Soma maelezo ya somo kwenye Surds (radicals) (WAEC)

Positive And Negative Integers, Rational Numbers

Surds (radicals)

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WAEC SSCE - General Mathematics - 2003 (Objective)