Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

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Created by PLSBOOST

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

2 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

3 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

4 / 20

5 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

6 / 20

7 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

8 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

9 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

10 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

11 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

12 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

13 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

14 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

15 / 20

16 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

17 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

18 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

19 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

20 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	NONE	95 %	52 seconds
8	abdullah umar	95 %	56 seconds
9	Saad	95 %	1 minutes 1 seconds
10	abdullah umar	95 %	1 minutes 12 seconds
11	NONE\	90 %	51 seconds
12	NONE	90 %	56 seconds
13	Muhammad Awais	90 %	1 minutes 6 seconds
14	12345	90 %	1 minutes 11 seconds
15	Bilal	90 %	1 minutes 30 seconds
16	ibraheem	90 %	1 minutes 34 seconds
17	Taha	90 %	1 minutes 56 seconds
18	sddc	90 %	2 minutes 32 seconds
19	Ahmed Nafees	90 %	4 minutes 20 seconds
20	Maham	90 %	5 minutes 16 seconds
21	Arib	85 %	1 minutes 20 seconds
22	Hello 2	85 %	1 minutes 23 seconds
23	sadi	85 %	1 minutes 47 seconds
24	nelson	85 %	1 minutes 56 seconds
25	Mudasir bangash	85 %	2 minutes 20 seconds
26	Saeed	85 %	2 minutes 46 seconds
27	RIDWAN	80 %	1 minutes 13 seconds
28	N	80 %	1 minutes 39 seconds
29	Talha	80 %	1 minutes 49 seconds
30	Najeeb Ahmed	80 %	1 minutes 52 seconds
31	Saif	75 %	57 seconds
32	Hi	75 %	1 minutes 37 seconds
33	Ahmad	75 %	1 minutes 38 seconds
34	NOONE	75 %	1 minutes 40 seconds
35	rida	75 %	1 minutes 47 seconds
36	Nimra	75 %	1 minutes 54 seconds
37	Ahmad faiz khan	75 %	2 minutes 21 seconds
38	Muhammmad yahya	75 %	2 minutes 26 seconds
39	ma	75 %	2 minutes 47 seconds
40	Muhammad Awais	75 %	3 minutes 5 seconds
41	Yasir	75 %	6 minutes 16 seconds
42	raomohib	75 %	31 minutes 2 seconds
43	uzair	75 %	34 minutes 30 seconds
44	amna	70 %	1 minutes 41 seconds
45	Abdullah umar	70 %	1 minutes 58 seconds
46	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
47	anand	70 %	3 minutes 5 seconds
48	mm alam	70 %	3 minutes 11 seconds
49	fjwkjsj	70 %	10 minutes 28 seconds
50	Muhammad Maaz khan	70 %	17 minutes 40 seconds
51	Jibrail	65 %	1 minutes 17 seconds
52	Noor	65 %	1 minutes 30 seconds
53	Muaz Rana	65 %	1 minutes 53 seconds
54	Adil	65 %	2 minutes 13 seconds
55	Hello	65 %	2 minutes 23 seconds
56	Tanoli Bilal	65 %	2 minutes 28 seconds
57	Abid ur Rahman	65 %	5 minutes 29 seconds
58	Azan	60 %	1 minutes 35 seconds
59	R	60 %	1 minutes 42 seconds
60	Sadia	60 %	2 minutes 21 seconds
61	Azwa mudassar	60 %	4 minutes 59 seconds
62	Ibraheem	60 %	13 minutes 11 seconds
63	ggg	60 %	18 minutes 13 seconds
64	fatima	60 %	20 minutes 21 seconds
65	Asfg	60 %	22 minutes 59 seconds
66	op bolty	60 %	36 minutes 57 seconds
67	Nimra	60 %	50 minutes 28 seconds
68	Ayla Saeed	60 %	55 minutes 29 seconds
69	Ahmad Hassan	55 %	3 minutes 35 seconds
70	Ubaid	55 %	5 minutes 16 seconds
71	Mudasir Jamal	55 %	7 minutes 29 seconds
72	Soem	55 %	8 minutes 46 seconds
73	Muhammad Hamid	55 %	11 minutes 17 seconds
74	Taha	55 %	13 minutes 20 seconds
75	Mee	55 %	17 minutes 49 seconds
76	nemo	55 %	20 minutes 10 seconds
77	None	55 %	25 minutes 16 seconds
78	Maham	55 %	26 minutes 14 seconds
79	Uzair	55 %	28 minutes 36 seconds
80	nelson	55 %	3 hours 35 minutes 50 seconds
81	Noor	50 %	1 minutes 41 seconds
82	Hafsa	50 %	2 minutes 49 seconds
83	Zubaida	50 %	4 minutes 52 seconds
84	Ehsan shah	50 %	5 minutes 6 seconds
85	As	50 %	6 minutes 17 seconds
86	Sheraz	50 %	6 minutes 24 seconds
87	Iraj	50 %	7 minutes
88	Mari	50 %	9 minutes 47 seconds
89	sadia	50 %	9 minutes 59 seconds
90	Najeeb Ahmed	50 %	10 minutes 36 seconds
91	Talha Bhatti	50 %	13 minutes 50 seconds
92	osaid	50 %	52 minutes 56 seconds
93	GHULAM	45 %	1 minutes 58 seconds
94	Usama	45 %	2 minutes 5 seconds
95	iufudfud	45 %	2 minutes 9 seconds
96	Saif khan	45 %	2 minutes 56 seconds
97	Dileep	45 %	3 minutes 28 seconds
98	amna	45 %	3 minutes 47 seconds
99	Muaz Rana	45 %	6 minutes 14 seconds
100	Muhammmad yahya	45 %	6 minutes 22 seconds
101	Ahmad	45 %	7 minutes 34 seconds
102	Muhammad Ali	45 %	7 minutes 52 seconds
103	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
104	hi	45 %	9 minutes 5 seconds
105	Haroon	45 %	14 minutes 19 seconds
106	Raj rathi	45 %	17 minutes 17 seconds
107	anand	45 %	17 minutes 35 seconds
108	Hafeezullah	45 %	21 minutes 49 seconds
109	Adnanh	45 %	59 minutes 58 seconds
110	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
111	Fawad Jillani	40 %	3 minutes 5 seconds
112	Huzaifa ali	40 %	4 minutes 28 seconds
113	Ahmad Ali	40 %	7 minutes 3 seconds
114	Maaz	40 %	7 minutes 52 seconds
115	ma	40 %	8 minutes 32 seconds
116	Kashif Iqbal	40 %	11 minutes 16 seconds
117	Fatima Ajmal	40 %	13 minutes 17 seconds
118	Najeeb Ahmed	40 %	13 minutes 40 seconds
119	jawad ahmed	40 %	13 minutes 50 seconds
120	TOUQEER ABBAS	40 %	14 minutes 22 seconds
121	.	40 %	15 minutes 19 seconds
122	rida	40 %	15 minutes 51 seconds
123	fawad	40 %	17 minutes 53 seconds
124	Saeed ullah shah	40 %	19 minutes 42 seconds
125	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
126	Sadam Hussain	35 %	2 minutes 14 seconds
127	Amir	35 %	2 minutes 24 seconds
128	Jibrail	35 %	3 minutes 59 seconds
129	Haseeb	35 %	4 minutes 12 seconds
130	arhum	35 %	4 minutes 28 seconds
131	Muhammad Awais	35 %	6 minutes 2 seconds
132	m	35 %	6 minutes 49 seconds
133	Furqan Ahmed	35 %	6 minutes 55 seconds
134	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
135	Nn	35 %	7 minutes 29 seconds
136	Azwa Mudassar	35 %	9 minutes 36 seconds
137	Wajiha	35 %	10 minutes 19 seconds
138	Ahmed Nafees	35 %	12 minutes 24 seconds
139	sunila	35 %	13 minutes 13 seconds
140	Ayesha	35 %	13 minutes 53 seconds
141	Moiz	35 %	14 minutes 59 seconds
142	za	35 %	15 minutes 15 seconds
143	sded	35 %	16 minutes 7 seconds
144	Usman Malik	35 %	17 minutes 9 seconds
145	A.	35 %	17 minutes 33 seconds
146	YaSiR	35 %	24 minutes 13 seconds
147	Talha	35 %	25 minutes 12 seconds
148	eman	30 %	1 minutes 15 seconds
149	tashfeen	30 %	1 minutes 37 seconds
150	Abdullah umar	30 %	2 minutes 37 seconds
151	Muhammad Abu Zar	30 %	2 minutes 44 seconds
152	Rukhsh	30 %	2 minutes 46 seconds
153	Abdullah	30 %	2 minutes 52 seconds
154	Aniya	30 %	3 minutes 8 seconds
155	Ss	30 %	4 minutes 4 seconds
156	GHULAM JILANI	30 %	4 minutes 17 seconds
157	Rameez	30 %	4 minutes 44 seconds
158	Sohaib Hafeez	30 %	5 minutes 4 seconds
159	ahmar	30 %	5 minutes 34 seconds
160	Ubaid	30 %	5 minutes 54 seconds
161	Asma	30 %	6 minutes 15 seconds
162	Who cares	30 %	6 minutes 46 seconds
163	Arib	30 %	7 minutes 17 seconds
164	muhammad sohaib	30 %	8 minutes 10 seconds
165	Ahmad faiz khan	30 %	8 minutes 11 seconds
166	nemo	30 %	12 minutes 51 seconds
167	Faiq Waleed	30 %	12 minutes 52 seconds
168	y	30 %	16 minutes 32 seconds
169	Zeeshanjaat	30 %	18 minutes 43 seconds
170	ume ayesha	30 %	22 minutes 30 seconds
171	Ggfgh	30 %	23 minutes 33 seconds
172	PLSBOOST	25 %	33 seconds
173	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
174	anaya noor	25 %	2 minutes 21 seconds
175	H	25 %	2 minutes 38 seconds
176	Dawood	25 %	2 minutes 43 seconds
177	Kashif	25 %	3 minutes 13 seconds
178	my	25 %	4 minutes 15 seconds
179	Iqra	25 %	4 minutes 25 seconds
180	hassan	25 %	4 minutes 30 seconds
181	Saad Khan	25 %	5 minutes 13 seconds
182	Abdullah	25 %	5 minutes 38 seconds
183	Muhammad Moeen	25 %	6 minutes 33 seconds
184	Mari	25 %	6 minutes 54 seconds
185	malika	25 %	7 minutes 25 seconds
186	Sadia	25 %	9 minutes 19 seconds
187	Adil	25 %	10 minutes 5 seconds
188	adnan ashiq	25 %	10 minutes 7 seconds
189	ridwan	25 %	13 minutes 23 seconds
190	T	25 %	18 minutes 27 seconds
191	sadaf	25 %	27 minutes 34 seconds
192	groots	25 %	29 minutes 39 seconds
193	maliksubhan	20 %	1 minutes 30 seconds
194	R	20 %	2 minutes 23 seconds
195	Ayesha	20 %	2 minutes 44 seconds
196	Muhammad Ali	20 %	3 minutes
197	Hasnain	20 %	3 minutes 2 seconds
198	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
199	Noor	20 %	4 minutes 3 seconds
200	Bilal	20 %	5 minutes 7 seconds
201	Hamza	20 %	6 minutes 19 seconds
202	kk	20 %	7 minutes 5 seconds
203	Mahad	20 %	8 minutes 5 seconds
204	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
205	Wilayat Ali	20 %	9 minutes 53 seconds
206	Daniyal	20 %	26 minutes 24 seconds
207	anaya noor	15 %	1 minutes 19 seconds
208	Annu	15 %	2 minutes 35 seconds
209	Elsa	15 %	2 minutes 57 seconds
210	R	15 %	2 minutes 58 seconds
211	Bilal	15 %	3 minutes 44 seconds
212	Abdullah abbas	15 %	4 minutes 7 seconds
213	Abid ur Rahman	15 %	8 minutes 34 seconds
214	Talha	10 %	2 minutes 21 seconds
215	Fatima Navaid	5 %	47 seconds
216	MUHAMMAD ABDULLAH	5 %	51 seconds
217	Amina	5 %	2 minutes 2 seconds
218	anaya noor	5 %	3 minutes
219	Name	5 %	8 minutes 3 seconds
220	abdullah umar	0 %	19 seconds
221	ISRAR ALI	0 %	25 seconds
222	azan ali shah	0 %	27 seconds
223	Mahamfaryad	0 %	54 seconds
224	Alisha noor	0 %	1 minutes 9 seconds
225	Umer	0 %	1 minutes 29 seconds

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Mathematics Diagnostic Tests

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