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.

301

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 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

2 / 20

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

2π

π /2

Non of these

3 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

4 / 20

5 / 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})

6 / 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

7 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

8 / 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?

9 / 20

10 / 20

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

11 / 20

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

3/7

1/7

2/7

12 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

13 / 20

14 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

15 / 20

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

-1

None of these

16 / 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)

17 / 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

18 / 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

19 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

20 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

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	Danyal	100 %	1 minutes 16 seconds
6	osaid	100 %	2 minutes 41 seconds
7	ibraheem	95 %	50 seconds
8	Dawood	95 %	52 seconds
9	NONE	95 %	52 seconds
10	abdullah umar	95 %	56 seconds
11	Saad	95 %	1 minutes 1 seconds
12	abdullah umar	95 %	1 minutes 12 seconds
13	Jawad	95 %	1 minutes 26 seconds
14	NONE\	90 %	51 seconds
15	NONE	90 %	56 seconds
16	Muhammad Awais	90 %	1 minutes 6 seconds
17	12345	90 %	1 minutes 11 seconds
18	Bilal	90 %	1 minutes 30 seconds
19	ibraheem	90 %	1 minutes 34 seconds
20	Taha	90 %	1 minutes 56 seconds
21	urwah	90 %	2 minutes 14 seconds
22	sddc	90 %	2 minutes 32 seconds
23	Ahmed Nafees	90 %	4 minutes 20 seconds
24	Maham	90 %	5 minutes 16 seconds
25	Wardan Ahmed	85 %	40 seconds
26	Dawood	85 %	1 minutes 10 seconds
27	Arib	85 %	1 minutes 20 seconds
28	Hello 2	85 %	1 minutes 23 seconds
29	sadi	85 %	1 minutes 47 seconds
30	nelson	85 %	1 minutes 56 seconds
31	DKrfkf	85 %	2 minutes 17 seconds
32	Mudasir bangash	85 %	2 minutes 20 seconds
33	Saeed	85 %	2 minutes 46 seconds
34	Wardan Ahmed	80 %	40 seconds
35	dawood	80 %	1 minutes
36	RIDWAN	80 %	1 minutes 13 seconds
37	N	80 %	1 minutes 39 seconds
38	Talha	80 %	1 minutes 49 seconds
39	Najeeb Ahmed	80 %	1 minutes 52 seconds
40	Shifa Arif	80 %	1 minutes 57 seconds
41	Wardan Ahmed	75 %	38 seconds
42	Wardan Ahmed	75 %	40 seconds
43	Wardan Ahmed	75 %	40 seconds
44	Wardan Ahmed	75 %	41 seconds
45	Saif	75 %	57 seconds
46	urwah	75 %	1 minutes 31 seconds
47	Hi	75 %	1 minutes 37 seconds
48	Ahmad	75 %	1 minutes 38 seconds
49	NOONE	75 %	1 minutes 40 seconds
50	rida	75 %	1 minutes 47 seconds
51	Nimra	75 %	1 minutes 54 seconds
52	Ahmad faiz khan	75 %	2 minutes 21 seconds
53	Muhammmad yahya	75 %	2 minutes 26 seconds
54	ma	75 %	2 minutes 47 seconds
55	JawD	75 %	2 minutes 54 seconds
56	Muhammad Awais	75 %	3 minutes 5 seconds
57	Yasir	75 %	6 minutes 16 seconds
58	raomohib	75 %	31 minutes 2 seconds
59	uzair	75 %	34 minutes 30 seconds
60	Hhhh	70 %	1 minutes 8 seconds
61	Hhh	70 %	1 minutes 37 seconds
62	amna	70 %	1 minutes 41 seconds
63	Haseeb	70 %	1 minutes 50 seconds
64	Abdullah umar	70 %	1 minutes 58 seconds
65	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
66	anand	70 %	3 minutes 5 seconds
67	mm alam	70 %	3 minutes 11 seconds
68	fjwkjsj	70 %	10 minutes 28 seconds
69	Muhammad Maaz khan	70 %	17 minutes 40 seconds
70	Danyal	70 %	18 minutes 19 seconds
71	Wardan Ahmed	65 %	39 seconds
72	Jibrail	65 %	1 minutes 17 seconds
73	Noor	65 %	1 minutes 30 seconds
74	david	65 %	1 minutes 30 seconds
75	Muaz Rana	65 %	1 minutes 53 seconds
76	Adil	65 %	2 minutes 13 seconds
77	Hello	65 %	2 minutes 23 seconds
78	Tanoli Bilal	65 %	2 minutes 28 seconds
79	Abid ur Rahman	65 %	5 minutes 29 seconds
80	Ubaidullah	65 %	7 minutes 13 seconds
81	Wardan Ahmed	60 %	37 seconds
82	Azan	60 %	1 minutes 35 seconds
83	R	60 %	1 minutes 42 seconds
84	Haseeb	60 %	2 minutes 13 seconds
85	Sadia	60 %	2 minutes 21 seconds
86	Miqdam Haider	60 %	2 minutes 31 seconds
87	Azwa mudassar	60 %	4 minutes 59 seconds
88	Zainab	60 %	12 minutes 58 seconds
89	Ibraheem	60 %	13 minutes 11 seconds
90	ggg	60 %	18 minutes 13 seconds
91	fatima	60 %	20 minutes 21 seconds
92	Asfg	60 %	22 minutes 59 seconds
93	op bolty	60 %	36 minutes 57 seconds
94	Nimra	60 %	50 minutes 28 seconds
95	Ayla Saeed	60 %	55 minutes 29 seconds
96	satii	60 %	3 hours 32 minutes 6 seconds
97	Wardan Ahmed	55 %	38 seconds
98	Wardan Ahmed	55 %	39 seconds
99	Ahmad Hassan	55 %	3 minutes 35 seconds
100	Ubaid	55 %	5 minutes 16 seconds
101	Mudasir Jamal	55 %	7 minutes 29 seconds
102	Soem	55 %	8 minutes 46 seconds
103	Muhammad Hamid	55 %	11 minutes 17 seconds
104	Taha	55 %	13 minutes 20 seconds
105	Mee	55 %	17 minutes 49 seconds
106	nemo	55 %	20 minutes 10 seconds
107	None	55 %	25 minutes 16 seconds
108	Maham	55 %	26 minutes 14 seconds
109	Uzair	55 %	28 minutes 36 seconds
110	Kisa	55 %	29 minutes 44 seconds
111	Abdullah	55 %	41 minutes 29 seconds
112	nelson	55 %	3 hours 35 minutes 50 seconds
113	Noor	50 %	1 minutes 41 seconds
114	Hafsa	50 %	2 minutes 49 seconds
115	Fghhh	50 %	2 minutes 54 seconds
116	Zubaida	50 %	4 minutes 52 seconds
117	Ehsan shah	50 %	5 minutes 6 seconds
118	Safi	50 %	5 minutes 51 seconds
119	As	50 %	6 minutes 17 seconds
120	Sheraz	50 %	6 minutes 24 seconds
121	Iraj	50 %	7 minutes
122	rida	50 %	8 minutes 21 seconds
123	M Miqdam Haider	50 %	8 minutes 36 seconds
124	Mari	50 %	9 minutes 47 seconds
125	sadia	50 %	9 minutes 59 seconds
126	Najeeb Ahmed	50 %	10 minutes 36 seconds
127	Talha Bhatti	50 %	13 minutes 50 seconds
128	osaid	50 %	52 minutes 56 seconds
129	Dawood	45 %	27 seconds
130	Wardan Ahmed	45 %	37 seconds
131	GHULAM	45 %	1 minutes 58 seconds
132	Usama	45 %	2 minutes 5 seconds
133	iufudfud	45 %	2 minutes 9 seconds
134	Hhhh	45 %	2 minutes 35 seconds
135	Saif khan	45 %	2 minutes 56 seconds
136	Dileep	45 %	3 minutes 28 seconds
137	amna	45 %	3 minutes 47 seconds
138	..	45 %	4 minutes 20 seconds
139	peaky blinder	45 %	5 minutes 8 seconds
140	Siwiw	45 %	5 minutes 11 seconds
141	Muaz Rana	45 %	6 minutes 14 seconds
142	Muhammmad yahya	45 %	6 minutes 22 seconds
143	Ahmad	45 %	7 minutes 34 seconds
144	Muhammad Ali	45 %	7 minutes 52 seconds
145	Jawad	45 %	8 minutes 33 seconds
146	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
147	hi	45 %	9 minutes 5 seconds
148	rr	45 %	12 minutes 44 seconds
149	Haroon	45 %	14 minutes 19 seconds
150	Raj rathi	45 %	17 minutes 17 seconds
151	anand	45 %	17 minutes 35 seconds
152	Hafeezullah	45 %	21 minutes 49 seconds
153	Adnanh	45 %	59 minutes 58 seconds
154	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
155	Wardan Ahmed	40 %	2 minutes 15 seconds
156	Fawad Jillani	40 %	3 minutes 5 seconds
157	Seemab	40 %	3 minutes 48 seconds
158	Haha	40 %	3 minutes 59 seconds
159	Huzaifa ali	40 %	4 minutes 28 seconds
160	Ahmad Ali	40 %	7 minutes 3 seconds
161	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
162	Maaz	40 %	7 minutes 52 seconds
163	ma	40 %	8 minutes 32 seconds
164	Kashif Iqbal	40 %	11 minutes 16 seconds
165	anon	40 %	11 minutes 23 seconds
166	Fatima Ajmal	40 %	13 minutes 17 seconds
167	Najeeb Ahmed	40 %	13 minutes 40 seconds
168	jawad ahmed	40 %	13 minutes 50 seconds
169	TOUQEER ABBAS	40 %	14 minutes 22 seconds
170	.	40 %	15 minutes 19 seconds
171	Shifa Arif	40 %	15 minutes 30 seconds
172	rida	40 %	15 minutes 51 seconds
173	fawad	40 %	17 minutes 53 seconds
174	Saeed ullah shah	40 %	19 minutes 42 seconds
175	HIBA	35 %	37 seconds
176	Wardan Ahmed	35 %	44 seconds
177	Wardan Ahmed	35 %	48 seconds
178	Hamna	35 %	1 minutes 8 seconds
179	Qasim	35 %	1 minutes 31 seconds
180	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
181	Sadam Hussain	35 %	2 minutes 14 seconds
182	Amir	35 %	2 minutes 24 seconds
183	Jibrail	35 %	3 minutes 59 seconds
184	Haseeb	35 %	4 minutes 12 seconds
185	madiha	35 %	4 minutes 28 seconds
186	arhum	35 %	4 minutes 28 seconds
187	arya	35 %	6 minutes 1 seconds
188	Muhammad Awais	35 %	6 minutes 2 seconds
189	maaz	35 %	6 minutes 19 seconds
190	Muhammad Ahmad	35 %	6 minutes 34 seconds
191	m	35 %	6 minutes 49 seconds
192	Furqan Ahmed	35 %	6 minutes 55 seconds
193	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
194	Dawood	35 %	7 minutes 24 seconds
195	Nn	35 %	7 minutes 29 seconds
196	Azwa Mudassar	35 %	9 minutes 36 seconds
197	Wajiha	35 %	10 minutes 19 seconds
198	Ahmed Nafees	35 %	12 minutes 24 seconds
199	Fatima	35 %	12 minutes 38 seconds
200	sunila	35 %	13 minutes 13 seconds
201	Ayesha	35 %	13 minutes 53 seconds
202	Moiz	35 %	14 minutes 59 seconds
203	za	35 %	15 minutes 15 seconds
204	sded	35 %	16 minutes 7 seconds
205	Usman Malik	35 %	17 minutes 9 seconds
206	A.	35 %	17 minutes 33 seconds
207	YaSiR	35 %	24 minutes 13 seconds
208	Talha	35 %	25 minutes 12 seconds
209	eman	30 %	1 minutes 15 seconds
210	tashfeen	30 %	1 minutes 37 seconds
211	M Miqdam Haider	30 %	2 minutes 34 seconds
212	Abdullah umar	30 %	2 minutes 37 seconds
213	Muhammad Abu Zar	30 %	2 minutes 44 seconds
214	Rukhsh	30 %	2 minutes 46 seconds
215	Abdullah	30 %	2 minutes 52 seconds
216	Aniya	30 %	3 minutes 8 seconds
217	Ss	30 %	4 minutes 4 seconds
218	GHULAM JILANI	30 %	4 minutes 17 seconds
219	fiza	30 %	4 minutes 43 seconds
220	Rameez	30 %	4 minutes 44 seconds
221	Sohaib Hafeez	30 %	5 minutes 4 seconds
222	ahmar	30 %	5 minutes 34 seconds
223	Ubaid	30 %	5 minutes 54 seconds
224	Haseeb	30 %	6 minutes 4 seconds
225	Asma	30 %	6 minutes 15 seconds
226	Who cares	30 %	6 minutes 46 seconds
227	Arib	30 %	7 minutes 17 seconds
228	muhammad sohaib	30 %	8 minutes 10 seconds
229	Ahmad faiz khan	30 %	8 minutes 11 seconds
230	nemo	30 %	12 minutes 51 seconds
231	Faiq Waleed	30 %	12 minutes 52 seconds
232	Ismail Ismail	30 %	14 minutes 56 seconds
233	y	30 %	16 minutes 32 seconds
234	Zeeshanjaat	30 %	18 minutes 43 seconds
235	ume ayesha	30 %	22 minutes 30 seconds
236	Ggfgh	30 %	23 minutes 33 seconds
237	PLSBOOST	25 %	33 seconds
238	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
239	anaya noor	25 %	2 minutes 21 seconds
240	ehsan	25 %	2 minutes 36 seconds
241	H	25 %	2 minutes 38 seconds
242	Dawood	25 %	2 minutes 43 seconds
243	Kashif	25 %	3 minutes 13 seconds
244	my	25 %	4 minutes 15 seconds
245	Iqra	25 %	4 minutes 25 seconds
246	hassan	25 %	4 minutes 30 seconds
247	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
248	Saad Khan	25 %	5 minutes 13 seconds
249	Bial	25 %	5 minutes 24 seconds
250	urwah	25 %	5 minutes 31 seconds
251	Abdullah	25 %	5 minutes 38 seconds
252	Muhammad Moeen	25 %	6 minutes 33 seconds
253	Mari	25 %	6 minutes 54 seconds
254	Muneeb	25 %	7 minutes 9 seconds
255	malika	25 %	7 minutes 25 seconds
256	Sadia	25 %	9 minutes 19 seconds
257	Adil	25 %	10 minutes 5 seconds
258	adnan ashiq	25 %	10 minutes 7 seconds
259	ridwan	25 %	13 minutes 23 seconds
260	T	25 %	18 minutes 27 seconds
261	sadaf	25 %	27 minutes 34 seconds
262	groots	25 %	29 minutes 39 seconds
263	Aydha	20 %	1 minutes 18 seconds
264	maliksubhan	20 %	1 minutes 30 seconds
265	R	20 %	2 minutes 23 seconds
266	Ayesha	20 %	2 minutes 44 seconds
267	Muhammad Ali	20 %	3 minutes
268	Hasnain	20 %	3 minutes 2 seconds
269	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
270	Noor	20 %	4 minutes 3 seconds
271	Zmsox	20 %	4 minutes 53 seconds
272	Bilal	20 %	5 minutes 7 seconds
273	Hamza	20 %	6 minutes 19 seconds
274	kk	20 %	7 minutes 5 seconds
275	Mahad	20 %	8 minutes 5 seconds
276	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
277	Wilayat Ali	20 %	9 minutes 53 seconds
278	Ubaidullah	20 %	10 minutes 58 seconds
279	Daniyal	20 %	26 minutes 24 seconds
280	anaya noor	15 %	1 minutes 19 seconds
281	Annu	15 %	2 minutes 35 seconds
282	Elsa	15 %	2 minutes 57 seconds
283	R	15 %	2 minutes 58 seconds
284	Bilal	15 %	3 minutes 44 seconds
285	Abdullah abbas	15 %	4 minutes 7 seconds
286	Safi ullah	15 %	5 minutes 22 seconds
287	Sateedan	15 %	7 minutes 9 seconds
288	Abid ur Rahman	15 %	8 minutes 34 seconds
289	Fehria Zainab	15 %	13 minutes 11 seconds
290	Talha	10 %	2 minutes 21 seconds
291	Fatima Navaid	5 %	47 seconds
292	MUHAMMAD ABDULLAH	5 %	51 seconds
293	Amina	5 %	2 minutes 2 seconds
294	anaya noor	5 %	3 minutes
295	Name	5 %	8 minutes 3 seconds
296	abdullah umar	0 %	19 seconds
297	ISRAR ALI	0 %	25 seconds
298	azan ali shah	0 %	27 seconds
299	Mahamfaryad	0 %	54 seconds
300	Alisha noor	0 %	1 minutes 9 seconds
301	Umer	0 %	1 minutes 29 seconds

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Mathematics Diagnostic Tests

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