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.

339

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

2 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

3 / 20

4 / 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

5 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

6 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

7 / 20

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

-1

None of these

8 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

9 / 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

10 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

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

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

3/7

1/7

2/7

13 / 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?

14 / 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})

15 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

16 / 20

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

2π

π /2

Non of these

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

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)

19 / 20

20 / 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

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	Yahya Asad	95 %	1 minutes 12 seconds
13	abdullah umar	95 %	1 minutes 12 seconds
14	Jawad	95 %	1 minutes 26 seconds
15	NONE\	90 %	51 seconds
16	NONE	90 %	56 seconds
17	Muhammad Awais	90 %	1 minutes 6 seconds
18	12345	90 %	1 minutes 11 seconds
19	sms	90 %	1 minutes 16 seconds
20	Saad saeed	90 %	1 minutes 22 seconds
21	Bilal	90 %	1 minutes 30 seconds
22	ibraheem	90 %	1 minutes 34 seconds
23	Taha	90 %	1 minutes 56 seconds
24	Naz	90 %	2 minutes 1 seconds
25	urwah	90 %	2 minutes 14 seconds
26	sddc	90 %	2 minutes 32 seconds
27	Ahmed Nafees	90 %	4 minutes 20 seconds
28	Maham	90 %	5 minutes 16 seconds
29	Wardan Ahmed	85 %	40 seconds
30	Dawood	85 %	1 minutes 10 seconds
31	Arib	85 %	1 minutes 20 seconds
32	Hello 2	85 %	1 minutes 23 seconds
33	sadi	85 %	1 minutes 47 seconds
34	nelson	85 %	1 minutes 56 seconds
35	DKrfkf	85 %	2 minutes 17 seconds
36	Mudasir bangash	85 %	2 minutes 20 seconds
37	Saeed	85 %	2 minutes 46 seconds
38	Wardan Ahmed	80 %	40 seconds
39	dawood	80 %	1 minutes
40	Gggg	80 %	1 minutes 4 seconds
41	RIDWAN	80 %	1 minutes 13 seconds
42	N	80 %	1 minutes 39 seconds
43	Talha	80 %	1 minutes 49 seconds
44	Najeeb Ahmed	80 %	1 minutes 52 seconds
45	Shifa Arif	80 %	1 minutes 57 seconds
46	Wardan Ahmed	75 %	38 seconds
47	Wardan Ahmed	75 %	40 seconds
48	Wardan Ahmed	75 %	40 seconds
49	Wardan Ahmed	75 %	41 seconds
50	Saif	75 %	57 seconds
51	urwah	75 %	1 minutes 31 seconds
52	Hi	75 %	1 minutes 37 seconds
53	Ahmad	75 %	1 minutes 38 seconds
54	NOONE	75 %	1 minutes 40 seconds
55	rida	75 %	1 minutes 47 seconds
56	Nimra	75 %	1 minutes 54 seconds
57	Ahmad faiz khan	75 %	2 minutes 21 seconds
58	Muhammmad yahya	75 %	2 minutes 26 seconds
59	ma	75 %	2 minutes 47 seconds
60	JawD	75 %	2 minutes 54 seconds
61	Muhammad Awais	75 %	3 minutes 5 seconds
62	Harram	75 %	5 minutes 39 seconds
63	Yasir	75 %	6 minutes 16 seconds
64	raomohib	75 %	31 minutes 2 seconds
65	uzair	75 %	34 minutes 30 seconds
66	Hhhh	70 %	1 minutes 8 seconds
67	Hhh	70 %	1 minutes 37 seconds
68	amna	70 %	1 minutes 41 seconds
69	Haseeb	70 %	1 minutes 50 seconds
70	Abdullah umar	70 %	1 minutes 58 seconds
71	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
72	anand	70 %	3 minutes 5 seconds
73	mm alam	70 %	3 minutes 11 seconds
74	.	70 %	4 minutes 28 seconds
75	fjwkjsj	70 %	10 minutes 28 seconds
76	Muhammad Maaz khan	70 %	17 minutes 40 seconds
77	Danyal	70 %	18 minutes 19 seconds
78	Wardan Ahmed	65 %	39 seconds
79	Ali	65 %	55 seconds
80	Jibrail	65 %	1 minutes 17 seconds
81	Noor	65 %	1 minutes 30 seconds
82	david	65 %	1 minutes 30 seconds
83	Muaz Rana	65 %	1 minutes 53 seconds
84	Adil	65 %	2 minutes 13 seconds
85	Hello	65 %	2 minutes 23 seconds
86	Tanoli Bilal	65 %	2 minutes 28 seconds
87	Abid ur Rahman	65 %	5 minutes 29 seconds
88	Ubaidullah	65 %	7 minutes 13 seconds
89	Wardan Ahmed	60 %	37 seconds
90	Azan	60 %	1 minutes 35 seconds
91	R	60 %	1 minutes 42 seconds
92	Haseeb	60 %	2 minutes 13 seconds
93	Sadia	60 %	2 minutes 21 seconds
94	Miqdam Haider	60 %	2 minutes 31 seconds
95	Azwa mudassar	60 %	4 minutes 59 seconds
96	Zainab	60 %	12 minutes 58 seconds
97	Ibraheem	60 %	13 minutes 11 seconds
98	ggg	60 %	18 minutes 13 seconds
99	fatima	60 %	20 minutes 21 seconds
100	Asfg	60 %	22 minutes 59 seconds
101	op bolty	60 %	36 minutes 57 seconds
102	Nimra	60 %	50 minutes 28 seconds
103	Ayla Saeed	60 %	55 minutes 29 seconds
104	satii	60 %	3 hours 32 minutes 6 seconds
105	Wardan Ahmed	55 %	38 seconds
106	Wardan Ahmed	55 %	39 seconds
107	Ahmad Hassan	55 %	3 minutes 35 seconds
108	Ubaid	55 %	5 minutes 16 seconds
109	Mudasir Jamal	55 %	7 minutes 29 seconds
110	Meerab Jawwad	55 %	8 minutes 9 seconds
111	Soem	55 %	8 minutes 46 seconds
112	Muhammad Hamid	55 %	11 minutes 17 seconds
113	Taha	55 %	13 minutes 20 seconds
114	Mee	55 %	17 minutes 49 seconds
115	MANAHIL03171461578	55 %	19 minutes 40 seconds
116	nemo	55 %	20 minutes 10 seconds
117	None	55 %	25 minutes 16 seconds
118	Maham	55 %	26 minutes 14 seconds
119	Uzair	55 %	28 minutes 36 seconds
120	Kisa	55 %	29 minutes 44 seconds
121	Abdullah	55 %	41 minutes 29 seconds
122	nelson	55 %	3 hours 35 minutes 50 seconds
123	Ali	50 %	1 minutes 13 seconds
124	Noor	50 %	1 minutes 41 seconds
125	Hafsa	50 %	2 minutes 49 seconds
126	Fghhh	50 %	2 minutes 54 seconds
127	Anjan	50 %	3 minutes 49 seconds
128	Zubaida	50 %	4 minutes 52 seconds
129	Ehsan shah	50 %	5 minutes 6 seconds
130	Safi	50 %	5 minutes 51 seconds
131	sms	50 %	6 minutes 4 seconds
132	As	50 %	6 minutes 17 seconds
133	Sheraz	50 %	6 minutes 24 seconds
134	Iraj	50 %	7 minutes
135	rida	50 %	8 minutes 21 seconds
136	M Miqdam Haider	50 %	8 minutes 36 seconds
137	Mari	50 %	9 minutes 47 seconds
138	sadia	50 %	9 minutes 59 seconds
139	Najeeb Ahmed	50 %	10 minutes 36 seconds
140	Talha Bhatti	50 %	13 minutes 50 seconds
141	osaid	50 %	52 minutes 56 seconds
142	Dawood	45 %	27 seconds
143	Wardan Ahmed	45 %	37 seconds
144	GHULAM	45 %	1 minutes 58 seconds
145	Usama	45 %	2 minutes 5 seconds
146	iufudfud	45 %	2 minutes 9 seconds
147	Ggggg	45 %	2 minutes 27 seconds
148	Hhhh	45 %	2 minutes 35 seconds
149	Saif khan	45 %	2 minutes 56 seconds
150	Dileep	45 %	3 minutes 28 seconds
151	amna	45 %	3 minutes 47 seconds
152	..	45 %	4 minutes 20 seconds
153	peaky blinder	45 %	5 minutes 8 seconds
154	Siwiw	45 %	5 minutes 11 seconds
155	Muaz Rana	45 %	6 minutes 14 seconds
156	Muhammmad yahya	45 %	6 minutes 22 seconds
157	Ahmad	45 %	7 minutes 34 seconds
158	Muhammad Ali	45 %	7 minutes 52 seconds
159	Jawad	45 %	8 minutes 33 seconds
160	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
161	hi	45 %	9 minutes 5 seconds
162	Yahya Asad	45 %	12 minutes 31 seconds
163	rr	45 %	12 minutes 44 seconds
164	Haroon	45 %	14 minutes 19 seconds
165	Raj rathi	45 %	17 minutes 17 seconds
166	anand	45 %	17 minutes 35 seconds
167	Hafeezullah	45 %	21 minutes 49 seconds
168	Adnanh	45 %	59 minutes 58 seconds
169	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
170	Wardan Ahmed	40 %	2 minutes 15 seconds
171	Muzammal	40 %	2 minutes 58 seconds
172	Fawad Jillani	40 %	3 minutes 5 seconds
173	Seemab	40 %	3 minutes 48 seconds
174	Haha	40 %	3 minutes 59 seconds
175	Momina hameed	40 %	4 minutes 2 seconds
176	Huzaifa ali	40 %	4 minutes 28 seconds
177	sms	40 %	6 minutes 53 seconds
178	Ahmad Ali	40 %	7 minutes 3 seconds
179	jj	40 %	7 minutes 18 seconds
180	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
181	Abdul Moeed	40 %	7 minutes 34 seconds
182	Maaz	40 %	7 minutes 52 seconds
183	ma	40 %	8 minutes 32 seconds
184	harram	40 %	9 minutes 58 seconds
185	Kashif Iqbal	40 %	11 minutes 16 seconds
186	anon	40 %	11 minutes 23 seconds
187	Fatima Ajmal	40 %	13 minutes 17 seconds
188	Najeeb Ahmed	40 %	13 minutes 40 seconds
189	jawad ahmed	40 %	13 minutes 50 seconds
190	TOUQEER ABBAS	40 %	14 minutes 22 seconds
191	.	40 %	15 minutes 19 seconds
192	Shifa Arif	40 %	15 minutes 30 seconds
193	rida	40 %	15 minutes 51 seconds
194	fawad	40 %	17 minutes 53 seconds
195	Saeed ullah shah	40 %	19 minutes 42 seconds
196	HIBA	35 %	37 seconds
197	Wardan Ahmed	35 %	44 seconds
198	Wardan Ahmed	35 %	48 seconds
199	Hamna	35 %	1 minutes 8 seconds
200	Qasim	35 %	1 minutes 31 seconds
201	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
202	Fizza	35 %	2 minutes 11 seconds
203	Sadam Hussain	35 %	2 minutes 14 seconds
204	Amir	35 %	2 minutes 24 seconds
205	Ali	35 %	3 minutes 6 seconds
206	Jibrail	35 %	3 minutes 59 seconds
207	ALI MEHDI	35 %	4 minutes 1 seconds
208	Haseeb	35 %	4 minutes 12 seconds
209	madiha	35 %	4 minutes 28 seconds
210	arhum	35 %	4 minutes 28 seconds
211	arya	35 %	6 minutes 1 seconds
212	Muhammad Awais	35 %	6 minutes 2 seconds
213	maaz	35 %	6 minutes 19 seconds
214	Muhammad Ahmad	35 %	6 minutes 34 seconds
215	m	35 %	6 minutes 49 seconds
216	Furqan Ahmed	35 %	6 minutes 55 seconds
217	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
218	Dawood	35 %	7 minutes 24 seconds
219	Nn	35 %	7 minutes 29 seconds
220	rayan bilal	35 %	8 minutes 50 seconds
221	Azwa Mudassar	35 %	9 minutes 36 seconds
222	Naz	35 %	9 minutes 59 seconds
223	Wajiha	35 %	10 minutes 19 seconds
224	Ahmed Nafees	35 %	12 minutes 24 seconds
225	Fatima	35 %	12 minutes 38 seconds
226	Amber Mirza	35 %	13 minutes 8 seconds
227	sunila	35 %	13 minutes 13 seconds
228	Ayesha	35 %	13 minutes 53 seconds
229	Moiz	35 %	14 minutes 59 seconds
230	za	35 %	15 minutes 15 seconds
231	sded	35 %	16 minutes 7 seconds
232	Usman Malik	35 %	17 minutes 9 seconds
233	A.	35 %	17 minutes 33 seconds
234	YaSiR	35 %	24 minutes 13 seconds
235	Talha	35 %	25 minutes 12 seconds
236	eman	30 %	1 minutes 15 seconds
237	tashfeen	30 %	1 minutes 37 seconds
238	M Miqdam Haider	30 %	2 minutes 34 seconds
239	Abdullah umar	30 %	2 minutes 37 seconds
240	Muhammad Abu Zar	30 %	2 minutes 44 seconds
241	Rukhsh	30 %	2 minutes 46 seconds
242	Abdullah	30 %	2 minutes 52 seconds
243	Aniya	30 %	3 minutes 8 seconds
244	Ss	30 %	4 minutes 4 seconds
245	GHULAM JILANI	30 %	4 minutes 17 seconds
246	fiza	30 %	4 minutes 43 seconds
247	Rameez	30 %	4 minutes 44 seconds
248	Sohaib Hafeez	30 %	5 minutes 4 seconds
249	ahmar	30 %	5 minutes 34 seconds
250	Ubaid	30 %	5 minutes 54 seconds
251	Haseeb	30 %	6 minutes 4 seconds
252	Asma	30 %	6 minutes 15 seconds
253	Ayesha	30 %	6 minutes 23 seconds
254	Who cares	30 %	6 minutes 46 seconds
255	Syed Farrukh Shah	30 %	7 minutes 12 seconds
256	Arib	30 %	7 minutes 17 seconds
257	muhammad sohaib	30 %	8 minutes 10 seconds
258	Ahmad faiz khan	30 %	8 minutes 11 seconds
259	nemo	30 %	12 minutes 51 seconds
260	Faiq Waleed	30 %	12 minutes 52 seconds
261	Ismail Ismail	30 %	14 minutes 56 seconds
262	y	30 %	16 minutes 32 seconds
263	Muhammad musa	30 %	17 minutes 13 seconds
264	Zeeshanjaat	30 %	18 minutes 43 seconds
265	ume ayesha	30 %	22 minutes 30 seconds
266	Ggfgh	30 %	23 minutes 33 seconds
267	PLSBOOST	25 %	33 seconds
268	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
269	M, Jahanzaib Khan	25 %	2 minutes 12 seconds
270	anaya noor	25 %	2 minutes 21 seconds
271	ehsan	25 %	2 minutes 36 seconds
272	H	25 %	2 minutes 38 seconds
273	Dawood	25 %	2 minutes 43 seconds
274	Kashif	25 %	3 minutes 13 seconds
275	H	25 %	3 minutes 29 seconds
276	my	25 %	4 minutes 15 seconds
277	Iqra	25 %	4 minutes 25 seconds
278	hassan	25 %	4 minutes 30 seconds
279	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
280	Saad Khan	25 %	5 minutes 13 seconds
281	Bial	25 %	5 minutes 24 seconds
282	urwah	25 %	5 minutes 31 seconds
283	.	25 %	5 minutes 37 seconds
284	Abdullah	25 %	5 minutes 38 seconds
285	M Adnan	25 %	5 minutes 51 seconds
286	Muhammad Moeen	25 %	6 minutes 33 seconds
287	Mari	25 %	6 minutes 54 seconds
288	Muneeb	25 %	7 minutes 9 seconds
289	malika	25 %	7 minutes 25 seconds
290	Sadia	25 %	9 minutes 19 seconds
291	Adil	25 %	10 minutes 5 seconds
292	adnan ashiq	25 %	10 minutes 7 seconds
293	ridwan	25 %	13 minutes 23 seconds
294	T	25 %	18 minutes 27 seconds
295	sadaf	25 %	27 minutes 34 seconds
296	groots	25 %	29 minutes 39 seconds
297	Aydha	20 %	1 minutes 18 seconds
298	maliksubhan	20 %	1 minutes 30 seconds
299	R	20 %	2 minutes 23 seconds
300	Noor ul Huda	20 %	2 minutes 40 seconds
301	Ayesha	20 %	2 minutes 44 seconds
302	Muhammad Ali	20 %	3 minutes
303	Hasnain	20 %	3 minutes 2 seconds
304	Meerab Jawwad	20 %	3 minutes 9 seconds
305	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
306	Noor	20 %	4 minutes 3 seconds
307	Zmsox	20 %	4 minutes 53 seconds
308	Bilal	20 %	5 minutes 7 seconds
309	Hamza	20 %	6 minutes 19 seconds
310	kk	20 %	7 minutes 5 seconds
311	Mahad	20 %	8 minutes 5 seconds
312	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
313	Sheharyar Khan	20 %	9 minutes 10 seconds
314	Wilayat Ali	20 %	9 minutes 53 seconds
315	Ubaidullah	20 %	10 minutes 58 seconds
316	Daniyal	20 %	26 minutes 24 seconds
317	anaya noor	15 %	1 minutes 19 seconds
318	Annu	15 %	2 minutes 35 seconds
319	Elsa	15 %	2 minutes 57 seconds
320	R	15 %	2 minutes 58 seconds
321	Bilal	15 %	3 minutes 44 seconds
322	Abdullah abbas	15 %	4 minutes 7 seconds
323	Safi ullah	15 %	5 minutes 22 seconds
324	Sateedan	15 %	7 minutes 9 seconds
325	Abid ur Rahman	15 %	8 minutes 34 seconds
326	Fehria Zainab	15 %	13 minutes 11 seconds
327	Talha	10 %	2 minutes 21 seconds
328	Fatima Navaid	5 %	47 seconds
329	MUHAMMAD ABDULLAH	5 %	51 seconds
330	Amina	5 %	2 minutes 2 seconds
331	anaya noor	5 %	3 minutes
332	Name	5 %	8 minutes 3 seconds
333	abdullah umar	0 %	19 seconds
334	ISRAR ALI	0 %	25 seconds
335	azan ali shah	0 %	27 seconds
336	ali	0 %	52 seconds
337	Mahamfaryad	0 %	54 seconds
338	Alisha noor	0 %	1 minutes 9 seconds
339	Umer	0 %	1 minutes 29 seconds

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